Page 1
Pinnacle Day: 66th - 70th Percentage
Percentage
Key Points :-
What does a percentage, say 20% mean?
20% simply means of something.
20
100
Also, you can see = =
20
100
1
5
0 . 2
i.e. 0.2 of something is the same as 20%
of that thing.
? Percentage change
= 100
?????? ?????????? - ???????????????? ??????????
???????????????? ??????????
×
? Percentage point change means
difference between two percentage
rates. For instance, 50% - 30% = 20%,
so here the percentage point change
is 20.
? If the price of a product increases by
%, then to keep expenditure same, ??
percentage reduction in
consumption required
= ( 100)%
??
100 + ??
×
? If the price of a product decreases
by %, then to keep expenditure ??
same, percentage increase in
consumption required
= ( 100)%
??
100 - ??
×
? If A is R% more than B, then B is less
than A by = ( 100)%
??
100 + ??
×
? If A is R% less than B, then B is more
than A by = ( 100)%
??
100 - ??
×
? If the number is ?rst increased by x%
and then decreased by x%, then the
net result is always decrease and it
is equal to = %. Same result (
??
2
100
)
will be obtained in the vice-versa
case.
Successive percentage change :
1. Two successive percentage
change : If the number is ?rst
increased by a% and then
increased by b% then,
Effective percentage change
= (a + b + )%
????
100
Similarly, if the number is ?rst
increased by a% and then
decreased by b%, then
Effective percentage change
= (a - b - )%
????
100
2. Three successive percentage
change : If the number is ?rst
increased by a% then by b% and
then by c%, then
Effective percentage change =
(a + b + c + + )%
???? + ???? + ????
100
??????
10000
Important Fractions and their equivalent
Percentage
1) = 2) = 33 % = 33.33%
1
2
50%
1
3
1
3
3) = 4) =
1
4
25%
1
5
20%
5) = 16.67% 6) = 14 % = 14.28%
1
6
1
7
2
7
7) = 12.5% 8) = 11 % = 11.11%
1
8
1
9
1
9
9) = 10% 10) = 9 % = 9.09%
1
10
1
11
1
11
11) = 8 % 12) = 7.69%
1
12
1
3
1
13
13) = 7.14% 14) = 6.67%
1
14
1
15
15) = 6.25% 16) = 83 %
1
16
5
6
1
3
17) = 37.5% 18) = 62.5%
3
8
5
8
19) = 87.5% 20) = 27.27%
7
8
3
11
21) = 66 % = %
2
3
2
3
200
3
22) = 2 = 233 %
7
3
1
3
1
3
23) = 1 = 112.5%
9
8
1
8
24) = 28.56%
2
7
These fractions are very common and it
will be very helpful to learn them.
Variety Questions
Q.1. In an election between two
candidates, 64% of the voters cast their
votes, out of which 4% of the votes were
declared invalid. A candidate got 12,288
votes which were 64% of the total valid
votes. Find the total number of votes
enrolled in that election.
SSC CHSL Tier II (02/11/2023)
(a) 30,250 (b) 32,152
(c) 31,250 (d) 20,152
Q.2. Ayush spends 25% of an amount of
money on an insurance policy, 26% on
food, 23% on children’s education and
19% on recreation. He deposits the
remaining amount of ?26,600 in the
bank. What is the total amount (in ?) that
he spends on food and recreation
together?
SSC CPO 05/10/2023 (3rd Shift)
(a) 1,95,000 (b) 1,83,000
(c) 1,62,000 (d) 1,71,000
Q.3. The monthly income of an employee
was ?26,500 and his monthly
expenditure was ?22,000. Next year his
income increased by 20% and his
expenditure increased by 15%. Find the
percentage increase in his savings.
SSC CPO 05/10/2023 (2nd Shift)
(a) 44 % (b) 44 %
4
9
7
9
(c) 44 % (d) 44 %
5
9
8
9
Q.4. The cost price of pulses is 12% less
than the selling price. Using a faulty
weighing machine, shopkeeper is able to
earn 25% pro?t. How much percent of
the faulty machine shows more weight
as compared to the actual weight
(Rounded off to the nearest integer)?
SSC CPO 04/10/2023 (3rd Shift)
(a) 10% (b) 14% (c) 13% (d) 15%
Q.5. Swastik saves 20% of his income
while spends the remaining amount on
food, rent, education and shopping. 15%
of the income is spent on food, while
?12,800 is spent on rent, ?32,000 on
education and ?7,200 on shopping. The
amount spent on shopping is 11.25% of
the total expenditure. How much money
(in ?) is spent on food?
SSC CPO 03/10/2023 (2nd Shift)
(a) 9600 (b) 12000 (c) 15000 (d) 10800
Q.6. A number is ?rst increased by 16%
and then increased by 20%. The number
so obtained is now decreased by 40%.
The net decrease percentage in the
original number is:
SSC CHSL 14/08/2023 (4th Shift)
(a) 16 % (b) 15 %
12
25
9
25
(c) 11 % (d) 13 %
13
25
7
25
Q.7. Two candidates A and B contested
in an election. 80% of the voters cast
their votes, out of which 2% of the votes
were invalid. A got 9,408 votes which
was 60% of the valid votes. Find the total
number of votes.
SSC CHSL 10/08/2023 (4th Shift)
(a) 12,000 (b) 22,000
(c) 20,000 (d) 21,000
Q.8. A number ?rst increased by 8% and
then decreased by 3% to get 2619. What
is 5% of that number ?
SSC CHSL 10/08/2023 (3rd Shift)
(a) 125 (b) 135 (c) 130 (d) 140
Q.9. A spends 68% of his monthly
income. If A's monthly income increases
by 25% and his monthly saving increases
by 15%, then the percentage increase in
his monthly expenditure will be:
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Page 2
Pinnacle Day: 66th - 70th Percentage
Percentage
Key Points :-
What does a percentage, say 20% mean?
20% simply means of something.
20
100
Also, you can see = =
20
100
1
5
0 . 2
i.e. 0.2 of something is the same as 20%
of that thing.
? Percentage change
= 100
?????? ?????????? - ???????????????? ??????????
???????????????? ??????????
×
? Percentage point change means
difference between two percentage
rates. For instance, 50% - 30% = 20%,
so here the percentage point change
is 20.
? If the price of a product increases by
%, then to keep expenditure same, ??
percentage reduction in
consumption required
= ( 100)%
??
100 + ??
×
? If the price of a product decreases
by %, then to keep expenditure ??
same, percentage increase in
consumption required
= ( 100)%
??
100 - ??
×
? If A is R% more than B, then B is less
than A by = ( 100)%
??
100 + ??
×
? If A is R% less than B, then B is more
than A by = ( 100)%
??
100 - ??
×
? If the number is ?rst increased by x%
and then decreased by x%, then the
net result is always decrease and it
is equal to = %. Same result (
??
2
100
)
will be obtained in the vice-versa
case.
Successive percentage change :
1. Two successive percentage
change : If the number is ?rst
increased by a% and then
increased by b% then,
Effective percentage change
= (a + b + )%
????
100
Similarly, if the number is ?rst
increased by a% and then
decreased by b%, then
Effective percentage change
= (a - b - )%
????
100
2. Three successive percentage
change : If the number is ?rst
increased by a% then by b% and
then by c%, then
Effective percentage change =
(a + b + c + + )%
???? + ???? + ????
100
??????
10000
Important Fractions and their equivalent
Percentage
1) = 2) = 33 % = 33.33%
1
2
50%
1
3
1
3
3) = 4) =
1
4
25%
1
5
20%
5) = 16.67% 6) = 14 % = 14.28%
1
6
1
7
2
7
7) = 12.5% 8) = 11 % = 11.11%
1
8
1
9
1
9
9) = 10% 10) = 9 % = 9.09%
1
10
1
11
1
11
11) = 8 % 12) = 7.69%
1
12
1
3
1
13
13) = 7.14% 14) = 6.67%
1
14
1
15
15) = 6.25% 16) = 83 %
1
16
5
6
1
3
17) = 37.5% 18) = 62.5%
3
8
5
8
19) = 87.5% 20) = 27.27%
7
8
3
11
21) = 66 % = %
2
3
2
3
200
3
22) = 2 = 233 %
7
3
1
3
1
3
23) = 1 = 112.5%
9
8
1
8
24) = 28.56%
2
7
These fractions are very common and it
will be very helpful to learn them.
Variety Questions
Q.1. In an election between two
candidates, 64% of the voters cast their
votes, out of which 4% of the votes were
declared invalid. A candidate got 12,288
votes which were 64% of the total valid
votes. Find the total number of votes
enrolled in that election.
SSC CHSL Tier II (02/11/2023)
(a) 30,250 (b) 32,152
(c) 31,250 (d) 20,152
Q.2. Ayush spends 25% of an amount of
money on an insurance policy, 26% on
food, 23% on children’s education and
19% on recreation. He deposits the
remaining amount of ?26,600 in the
bank. What is the total amount (in ?) that
he spends on food and recreation
together?
SSC CPO 05/10/2023 (3rd Shift)
(a) 1,95,000 (b) 1,83,000
(c) 1,62,000 (d) 1,71,000
Q.3. The monthly income of an employee
was ?26,500 and his monthly
expenditure was ?22,000. Next year his
income increased by 20% and his
expenditure increased by 15%. Find the
percentage increase in his savings.
SSC CPO 05/10/2023 (2nd Shift)
(a) 44 % (b) 44 %
4
9
7
9
(c) 44 % (d) 44 %
5
9
8
9
Q.4. The cost price of pulses is 12% less
than the selling price. Using a faulty
weighing machine, shopkeeper is able to
earn 25% pro?t. How much percent of
the faulty machine shows more weight
as compared to the actual weight
(Rounded off to the nearest integer)?
SSC CPO 04/10/2023 (3rd Shift)
(a) 10% (b) 14% (c) 13% (d) 15%
Q.5. Swastik saves 20% of his income
while spends the remaining amount on
food, rent, education and shopping. 15%
of the income is spent on food, while
?12,800 is spent on rent, ?32,000 on
education and ?7,200 on shopping. The
amount spent on shopping is 11.25% of
the total expenditure. How much money
(in ?) is spent on food?
SSC CPO 03/10/2023 (2nd Shift)
(a) 9600 (b) 12000 (c) 15000 (d) 10800
Q.6. A number is ?rst increased by 16%
and then increased by 20%. The number
so obtained is now decreased by 40%.
The net decrease percentage in the
original number is:
SSC CHSL 14/08/2023 (4th Shift)
(a) 16 % (b) 15 %
12
25
9
25
(c) 11 % (d) 13 %
13
25
7
25
Q.7. Two candidates A and B contested
in an election. 80% of the voters cast
their votes, out of which 2% of the votes
were invalid. A got 9,408 votes which
was 60% of the valid votes. Find the total
number of votes.
SSC CHSL 10/08/2023 (4th Shift)
(a) 12,000 (b) 22,000
(c) 20,000 (d) 21,000
Q.8. A number ?rst increased by 8% and
then decreased by 3% to get 2619. What
is 5% of that number ?
SSC CHSL 10/08/2023 (3rd Shift)
(a) 125 (b) 135 (c) 130 (d) 140
Q.9. A spends 68% of his monthly
income. If A's monthly income increases
by 25% and his monthly saving increases
by 15%, then the percentage increase in
his monthly expenditure will be:
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Pinnacle Day: 66th - 70th Percentage
SSC CHSL 09/08/2023 (1st Shift)
(a) 27 % (b) 29 %
13
17
12
17
(c) 33 % (d) 31 %
7
17
6
17
Q.10. Harsha's expenditure is 45% of her
income. If the income from the next
month is increased by 15% and the
amount she saved each month remains
the same, then ?nd the percentage
increase in her expenditure (rounded off
to 2 decimal places).
SSC CHSL 07/08/2023 (4th Shift)
(a) 33.33% (b) 15.00%
(c) 45.00% (d) 27.50%
Q.11. The price of an article is increased
by r%. The new price was decreased by
r% later. Now the latest price is
Rs.1.What was the original price of the
article?
SSC CGL 20/07/2023 (3rd shift)
(a) (b)
10000
10000 - ??
2
10000 - ??
2
10000
(c) (d)
100
100 - ??
2
100
1 - ??
2
Q.12. Aditya buys 300 mangoes for
Rs.1,100. Some of these mangoes are
rotten and are thrown away. He sells the
remaining mangoes at Rs.5 each and
makes a pro?t of Rs.150. Find the
percentage of mangoes thrown away.
SSC CGL 19/07/2023 (4th shift)
(a) 16 (b)
1
2
% 15
2
3
%
(c) 16 (d) 16
2
3
%
1
3
%
Q.13. In an election, 15% of the voters on
the voters list did not cast their votes and
100 voters cast their ballot paper blank.
There were only two candidates Ram and
Shyam. The winner, Ram, was supported
by 69% of all the voters in the list and he
got 630 votes more than Shyam. Find the
number of voters on the list.
Matriculation Level 30/06/2023 (Shift - 3)
(a) 1200 (b) 1000 (c) 1100 (d) 1300
Q.14. If the price of rice is increased by
25 percent, then by what percentage
consumption of rice should be
decreased so that the expenditure
incurred on rice gets decreased by 40
percent?
SSC CHSL 21/03/2023 (4th Shift)
(a) 52 % (b) 43.33 (c) 42 % (d) 48 %
Q.15. Shiva’s monthly salary is
Rs.75,000. He spends Rs.12,000 on
household items, Rs.14,000 on LIC and
mutual funds, Rs.15,000 on his children’s
education, and keeps Rs.10,000 for
miscellaneous expenses. His savings are
Rs.21,000 per month and he donates the
rest of the amount to an orphanage. The
percentage of his income that he
donates is:
SSC CGL 13/12/2022 (3rd Shift)
(a) 3% (b) 6% (c) 8% (d) 4%
Q.16. The expenditure on the cost of
living of a man and his family is 60% of
his salary. He gets two increments of
30% and 60% in his salary. If his saving
increases by 250% of his initial saving,
then the new cost of living expenditure is
what percentage (rounded off to the
nearest integer) of the increased salary?
SSC CGL 12/12/2022 (4th Shift)
(a) 32.7 Percent (b) 43.6 Percent
(c) 29.5 Percent (d) 36.6 Percent
Q.17. A mask manufacturing company
manufactured ‘X’ number of masks in
2018. It increased its manufacturing
capacity by 30% in 2019 and further
increased its manufacturing by 15% in
2020. In 2021, due to the machinery
breakdown, its manufacturing declined
by 40%. What is the value of ‘X’ if it
manufactured 179400 masks in 2021?
SSC CGL 07/12/2022 (1st Shift)
(a) 180000 (b) 230000
(c) 200000 (d) 210000
Q.18. The population of country A
decreased by p% and the population of
country B decreased by q% from the
year 2020 to 2021. Here 'p' is greater
than 'q'. Let 'x' be the ratio of the
population of country A to the population
of country B in the given year. What is the
percentage decrease in 'x' from 2020 to
2021?
SSC CGL 06/12/2022 (2nd Shift)
(a) (b)
100 ( ?? - ?? )
( 100 - ?? )
100 ( ?? - ?? )
100 + ??
(c) (d)
100 ( ?? - ?? )
100 - ??
100 ( ?? - ?? )
100
Q.19. In an election between two
candidates, the defeated candidate
secured 42% of the valid votes polled and
lost the election by 7,68,400 votes. If
82,560 votes were declared invalid and
20% people did NOT cast their vote, then
the invalid votes were what percentage
(rounded off to 1 decimal place) of the
votes which people did NOT cast ?
SSC CGL 02/12/2022 (2nd Shift)
(a) 10.6 Percent (b) 9.8 Percent
(c) 12.9 Percent (d) 6.8 Percent
Q.20. Sonam is a cab driver, who plies
within a city. The number of kilometres
that she drives on a Tuesday was 12.5%
less than the number of kilometres that
she drives on the day before.On the other
hand, the number of kilometres that she
drives on Wednesday was 20% more
than the number of kilometres that she
drives on Tuesday. If Sonam drives a
total of 336 km on Wednesday, how
many kilometers did she drive on
Monday ?
SSC CHSL 02/06/2022 (Morning)
(a) 315 (b) 318 (c) 320 (d) 324
Q.21. In an election, there were three
candidates: A, B and C. 10% of the
eligible voters did not vote. Out of those
who voted, 45% voted for A, 35% voted
for B and the remaining 20% voted for C.
30% of the votes polled for A and 20% of
the votes polled for B were later deemed
invalid, while all the votes polled for C
were deemed valid. If A got 882 more
valid votes than B did, how many valid
votes did C receive?
SSC CHSL 27/05/2022 ( Afternoon )
(a) 5020 (b) 5040 (c) 5050 (d) 5060
Q.22. A fruit seller sells 45% of the
oranges that he has along with one more
oranges to a customer . He then sells
20% of the remaining oranges and 2
more oranges to a second customer. He
then sells 90% of the now remaining
oranges to a third customer and is still
left with 5 oranges. How many oranges
did the fruit seller have initially?
SSC CGL 19/04/2022 (Evening)
(a) 100 (b) 111 (c) 121 (d) 120
Q.23. By mistake, the reciprocal of a
positive fraction got typed in place of
itself, and thereby its value got reduced
by %. What was the value of the
175
4
fraction?
SSC CGL 24/08/2021 (Evening)
(a) (b) (c) (d)
1
2
4
3
3
4
1
4
Q.24. The income of A is 20% less than
the income of B and the income of C is
70% of the sum of incomes of A and B.
The income of D is 25% more than the
income of C. If the difference between
the incomes of B and D is Rs 23000, then
what is the income (in Rs) of A?
SSC CGL 18/08/2021 (Afternoon)
(a) 32000 (b) 25000 (c) 26000 (d) 28000
Q.25. A certain number of students from
school X appeared in an examination and
20% students failed. From school Y,
130% more students than that from
school X, appeared in the same
examination. If 90% of the total number
of students appeared from both the
schools passed, then what is the
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Page 3
Pinnacle Day: 66th - 70th Percentage
Percentage
Key Points :-
What does a percentage, say 20% mean?
20% simply means of something.
20
100
Also, you can see = =
20
100
1
5
0 . 2
i.e. 0.2 of something is the same as 20%
of that thing.
? Percentage change
= 100
?????? ?????????? - ???????????????? ??????????
???????????????? ??????????
×
? Percentage point change means
difference between two percentage
rates. For instance, 50% - 30% = 20%,
so here the percentage point change
is 20.
? If the price of a product increases by
%, then to keep expenditure same, ??
percentage reduction in
consumption required
= ( 100)%
??
100 + ??
×
? If the price of a product decreases
by %, then to keep expenditure ??
same, percentage increase in
consumption required
= ( 100)%
??
100 - ??
×
? If A is R% more than B, then B is less
than A by = ( 100)%
??
100 + ??
×
? If A is R% less than B, then B is more
than A by = ( 100)%
??
100 - ??
×
? If the number is ?rst increased by x%
and then decreased by x%, then the
net result is always decrease and it
is equal to = %. Same result (
??
2
100
)
will be obtained in the vice-versa
case.
Successive percentage change :
1. Two successive percentage
change : If the number is ?rst
increased by a% and then
increased by b% then,
Effective percentage change
= (a + b + )%
????
100
Similarly, if the number is ?rst
increased by a% and then
decreased by b%, then
Effective percentage change
= (a - b - )%
????
100
2. Three successive percentage
change : If the number is ?rst
increased by a% then by b% and
then by c%, then
Effective percentage change =
(a + b + c + + )%
???? + ???? + ????
100
??????
10000
Important Fractions and their equivalent
Percentage
1) = 2) = 33 % = 33.33%
1
2
50%
1
3
1
3
3) = 4) =
1
4
25%
1
5
20%
5) = 16.67% 6) = 14 % = 14.28%
1
6
1
7
2
7
7) = 12.5% 8) = 11 % = 11.11%
1
8
1
9
1
9
9) = 10% 10) = 9 % = 9.09%
1
10
1
11
1
11
11) = 8 % 12) = 7.69%
1
12
1
3
1
13
13) = 7.14% 14) = 6.67%
1
14
1
15
15) = 6.25% 16) = 83 %
1
16
5
6
1
3
17) = 37.5% 18) = 62.5%
3
8
5
8
19) = 87.5% 20) = 27.27%
7
8
3
11
21) = 66 % = %
2
3
2
3
200
3
22) = 2 = 233 %
7
3
1
3
1
3
23) = 1 = 112.5%
9
8
1
8
24) = 28.56%
2
7
These fractions are very common and it
will be very helpful to learn them.
Variety Questions
Q.1. In an election between two
candidates, 64% of the voters cast their
votes, out of which 4% of the votes were
declared invalid. A candidate got 12,288
votes which were 64% of the total valid
votes. Find the total number of votes
enrolled in that election.
SSC CHSL Tier II (02/11/2023)
(a) 30,250 (b) 32,152
(c) 31,250 (d) 20,152
Q.2. Ayush spends 25% of an amount of
money on an insurance policy, 26% on
food, 23% on children’s education and
19% on recreation. He deposits the
remaining amount of ?26,600 in the
bank. What is the total amount (in ?) that
he spends on food and recreation
together?
SSC CPO 05/10/2023 (3rd Shift)
(a) 1,95,000 (b) 1,83,000
(c) 1,62,000 (d) 1,71,000
Q.3. The monthly income of an employee
was ?26,500 and his monthly
expenditure was ?22,000. Next year his
income increased by 20% and his
expenditure increased by 15%. Find the
percentage increase in his savings.
SSC CPO 05/10/2023 (2nd Shift)
(a) 44 % (b) 44 %
4
9
7
9
(c) 44 % (d) 44 %
5
9
8
9
Q.4. The cost price of pulses is 12% less
than the selling price. Using a faulty
weighing machine, shopkeeper is able to
earn 25% pro?t. How much percent of
the faulty machine shows more weight
as compared to the actual weight
(Rounded off to the nearest integer)?
SSC CPO 04/10/2023 (3rd Shift)
(a) 10% (b) 14% (c) 13% (d) 15%
Q.5. Swastik saves 20% of his income
while spends the remaining amount on
food, rent, education and shopping. 15%
of the income is spent on food, while
?12,800 is spent on rent, ?32,000 on
education and ?7,200 on shopping. The
amount spent on shopping is 11.25% of
the total expenditure. How much money
(in ?) is spent on food?
SSC CPO 03/10/2023 (2nd Shift)
(a) 9600 (b) 12000 (c) 15000 (d) 10800
Q.6. A number is ?rst increased by 16%
and then increased by 20%. The number
so obtained is now decreased by 40%.
The net decrease percentage in the
original number is:
SSC CHSL 14/08/2023 (4th Shift)
(a) 16 % (b) 15 %
12
25
9
25
(c) 11 % (d) 13 %
13
25
7
25
Q.7. Two candidates A and B contested
in an election. 80% of the voters cast
their votes, out of which 2% of the votes
were invalid. A got 9,408 votes which
was 60% of the valid votes. Find the total
number of votes.
SSC CHSL 10/08/2023 (4th Shift)
(a) 12,000 (b) 22,000
(c) 20,000 (d) 21,000
Q.8. A number ?rst increased by 8% and
then decreased by 3% to get 2619. What
is 5% of that number ?
SSC CHSL 10/08/2023 (3rd Shift)
(a) 125 (b) 135 (c) 130 (d) 140
Q.9. A spends 68% of his monthly
income. If A's monthly income increases
by 25% and his monthly saving increases
by 15%, then the percentage increase in
his monthly expenditure will be:
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Pinnacle Day: 66th - 70th Percentage
SSC CHSL 09/08/2023 (1st Shift)
(a) 27 % (b) 29 %
13
17
12
17
(c) 33 % (d) 31 %
7
17
6
17
Q.10. Harsha's expenditure is 45% of her
income. If the income from the next
month is increased by 15% and the
amount she saved each month remains
the same, then ?nd the percentage
increase in her expenditure (rounded off
to 2 decimal places).
SSC CHSL 07/08/2023 (4th Shift)
(a) 33.33% (b) 15.00%
(c) 45.00% (d) 27.50%
Q.11. The price of an article is increased
by r%. The new price was decreased by
r% later. Now the latest price is
Rs.1.What was the original price of the
article?
SSC CGL 20/07/2023 (3rd shift)
(a) (b)
10000
10000 - ??
2
10000 - ??
2
10000
(c) (d)
100
100 - ??
2
100
1 - ??
2
Q.12. Aditya buys 300 mangoes for
Rs.1,100. Some of these mangoes are
rotten and are thrown away. He sells the
remaining mangoes at Rs.5 each and
makes a pro?t of Rs.150. Find the
percentage of mangoes thrown away.
SSC CGL 19/07/2023 (4th shift)
(a) 16 (b)
1
2
% 15
2
3
%
(c) 16 (d) 16
2
3
%
1
3
%
Q.13. In an election, 15% of the voters on
the voters list did not cast their votes and
100 voters cast their ballot paper blank.
There were only two candidates Ram and
Shyam. The winner, Ram, was supported
by 69% of all the voters in the list and he
got 630 votes more than Shyam. Find the
number of voters on the list.
Matriculation Level 30/06/2023 (Shift - 3)
(a) 1200 (b) 1000 (c) 1100 (d) 1300
Q.14. If the price of rice is increased by
25 percent, then by what percentage
consumption of rice should be
decreased so that the expenditure
incurred on rice gets decreased by 40
percent?
SSC CHSL 21/03/2023 (4th Shift)
(a) 52 % (b) 43.33 (c) 42 % (d) 48 %
Q.15. Shiva’s monthly salary is
Rs.75,000. He spends Rs.12,000 on
household items, Rs.14,000 on LIC and
mutual funds, Rs.15,000 on his children’s
education, and keeps Rs.10,000 for
miscellaneous expenses. His savings are
Rs.21,000 per month and he donates the
rest of the amount to an orphanage. The
percentage of his income that he
donates is:
SSC CGL 13/12/2022 (3rd Shift)
(a) 3% (b) 6% (c) 8% (d) 4%
Q.16. The expenditure on the cost of
living of a man and his family is 60% of
his salary. He gets two increments of
30% and 60% in his salary. If his saving
increases by 250% of his initial saving,
then the new cost of living expenditure is
what percentage (rounded off to the
nearest integer) of the increased salary?
SSC CGL 12/12/2022 (4th Shift)
(a) 32.7 Percent (b) 43.6 Percent
(c) 29.5 Percent (d) 36.6 Percent
Q.17. A mask manufacturing company
manufactured ‘X’ number of masks in
2018. It increased its manufacturing
capacity by 30% in 2019 and further
increased its manufacturing by 15% in
2020. In 2021, due to the machinery
breakdown, its manufacturing declined
by 40%. What is the value of ‘X’ if it
manufactured 179400 masks in 2021?
SSC CGL 07/12/2022 (1st Shift)
(a) 180000 (b) 230000
(c) 200000 (d) 210000
Q.18. The population of country A
decreased by p% and the population of
country B decreased by q% from the
year 2020 to 2021. Here 'p' is greater
than 'q'. Let 'x' be the ratio of the
population of country A to the population
of country B in the given year. What is the
percentage decrease in 'x' from 2020 to
2021?
SSC CGL 06/12/2022 (2nd Shift)
(a) (b)
100 ( ?? - ?? )
( 100 - ?? )
100 ( ?? - ?? )
100 + ??
(c) (d)
100 ( ?? - ?? )
100 - ??
100 ( ?? - ?? )
100
Q.19. In an election between two
candidates, the defeated candidate
secured 42% of the valid votes polled and
lost the election by 7,68,400 votes. If
82,560 votes were declared invalid and
20% people did NOT cast their vote, then
the invalid votes were what percentage
(rounded off to 1 decimal place) of the
votes which people did NOT cast ?
SSC CGL 02/12/2022 (2nd Shift)
(a) 10.6 Percent (b) 9.8 Percent
(c) 12.9 Percent (d) 6.8 Percent
Q.20. Sonam is a cab driver, who plies
within a city. The number of kilometres
that she drives on a Tuesday was 12.5%
less than the number of kilometres that
she drives on the day before.On the other
hand, the number of kilometres that she
drives on Wednesday was 20% more
than the number of kilometres that she
drives on Tuesday. If Sonam drives a
total of 336 km on Wednesday, how
many kilometers did she drive on
Monday ?
SSC CHSL 02/06/2022 (Morning)
(a) 315 (b) 318 (c) 320 (d) 324
Q.21. In an election, there were three
candidates: A, B and C. 10% of the
eligible voters did not vote. Out of those
who voted, 45% voted for A, 35% voted
for B and the remaining 20% voted for C.
30% of the votes polled for A and 20% of
the votes polled for B were later deemed
invalid, while all the votes polled for C
were deemed valid. If A got 882 more
valid votes than B did, how many valid
votes did C receive?
SSC CHSL 27/05/2022 ( Afternoon )
(a) 5020 (b) 5040 (c) 5050 (d) 5060
Q.22. A fruit seller sells 45% of the
oranges that he has along with one more
oranges to a customer . He then sells
20% of the remaining oranges and 2
more oranges to a second customer. He
then sells 90% of the now remaining
oranges to a third customer and is still
left with 5 oranges. How many oranges
did the fruit seller have initially?
SSC CGL 19/04/2022 (Evening)
(a) 100 (b) 111 (c) 121 (d) 120
Q.23. By mistake, the reciprocal of a
positive fraction got typed in place of
itself, and thereby its value got reduced
by %. What was the value of the
175
4
fraction?
SSC CGL 24/08/2021 (Evening)
(a) (b) (c) (d)
1
2
4
3
3
4
1
4
Q.24. The income of A is 20% less than
the income of B and the income of C is
70% of the sum of incomes of A and B.
The income of D is 25% more than the
income of C. If the difference between
the incomes of B and D is Rs 23000, then
what is the income (in Rs) of A?
SSC CGL 18/08/2021 (Afternoon)
(a) 32000 (b) 25000 (c) 26000 (d) 28000
Q.25. A certain number of students from
school X appeared in an examination and
20% students failed. From school Y,
130% more students than that from
school X, appeared in the same
examination. If 90% of the total number
of students appeared from both the
schools passed, then what is the
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percentage of students from school Y
who failed (correct to one decimal
place)?
SSC CGL 17/08/2021 (Morning)
(a) 8.3% (b) 10% (c) 6.4% (d) 5.7%
Q.26. In a workshop with 80 students
and 10 resource persons, sweets were
distributed at the end of the workshop.
The amount spent for distributing sweets
to each student was 30% of the total
number of students and the amount
spent towards each resource person was
40% of the total number of students. The
total amount spent for sweets
distribution in the workshop was:
SSC CHSL 10/08/2021 (Afternoon)
(a) Rs. 2400 (b) Rs. 2440
(c) Rs. 2420 (d) Rs. 2240
Q.27. In a constituency, 55% of the total
number of voters are males and the rest
are females. If 40% of the males are
illiterate and 40% of the females are
literate, then by what percentage is the
number of illiterate females more than
that if the illiterate males(correct to the
one decimal place)
SSC CHSL 04/08/2021 (Evening)
(a) 22.7% (b) 16.4% (c) 21.5% (d) 20.8%
Q.28. A reduction of 20% in the price of
sugar enables a purchaser to obtain 4 kg
more for Rs.160. The original price of
sugar per kg is:
SSC CHSL 20/10/2020 (Morning)
(a) 12 (b) 10 (c) 14 (d) 15
Q.29. A student multiplied a number with
instead of . What is the error
3
4
4
3
percentage?
SSC CHSL 15/10/2020 (Afternoon)
(a) 59.67% (b) 43.75%
(c) 67.45% (d) 39.34%
Q.30 . A crate of fruits contains one
spoiled fruit for every 25 fruits. 60% of
the spoiled fruits were sold. If the seller
had sold 48 spoiled fruits, then the
number of fruits in the crate were:
SSC CHSL 14/10/2020 (Afternoon)
(a) 2000 (b) 2400 (c) 3000 (d) 1200
Q.31. If each edge of a cube is increased
by 10%, then the percentage increase in
its surface area is:
SSC CHSL 13/10/2020 (Afternoon)
(a) 21% (b) 19% (c) 22% (d) 20%
Q.32. In a school, 4% of the students did
not appear for the annual exams. 10% of
the students who appeared for the
exams could not pass the exam. Out of
the remaining students, 50% got
distinction marks and 432 students
passed the exam but could not get
distinction marks. The total number of
students in the school is:
SSC CGL 06/03/2020 (Afternoon)
(a) 960 (b) 1000 (c) 878 (d) 1200
Q.33. A, B and C donate 8%,7% and 9%,
of their salaries respectively to a
charitable trust. The salaries of A and B
are the same and the difference between
their donations is ?259. The total
donation of A and B is ?1,185 more than
that of C. The total donation of A and C is
what percentage of the total salaries of
A, B and C? (Correct to one decimal
place)
SSC CGL 04/03/2020 (Evening)
(a) 6.2 % (b) 5.8 % (c) 6.4 % (d) 7.1%
Q.34. The income of A is 60% less than
that of B, and the expenditure of A is
equal to 60% of B’s expenditure. If A’s
income is equal to 70% of B’s
expenditure, then what is the ratio of the
savings of A and B?
SSC CGL 04/03/2020 (Afternoon)
(a) 3 : 8 (b) 5 : 9 (c) 4 : 7 (d) 2 : 15
Q.35. The population of town B is 300%
more than that of town A. For the next
two years, the population of A increases
by x% per year and that of B decreases
by the same percentage per year. After 2
years, if the population of A and B
become equal, then the value of x is ____.
SSC CPO 13/12/2019(Evening)
(a) 30 (b) 40 (c) 25 (d) 33
2
3
1
3
Q.36. The monthly salary of a person
was Rs.50,000. He used to spend on
three heads- personal and family
expenses (E), taxes(T), philanthropy (P),
and the rest were his savings. E was 50%
of the income, T was 20%of E and P was
15% of T. When his salary got raised by
40%, he maintained the average level of
E, but T became 30% of E and P became
20% of T. By what percentage is the new
savings more or less than the earlier
savings?(correct upto one decimal place)
SSC CPO 09/12/2019 (Morning)
(a) 16.4% more (b) 8.2% more
(c) 16.4% less (d) 8.2% less
Q.37. In an examination, A obtained 10%
more marks than B, B obtained 20% more
marks than C and C obtained 32% less
marks that D. If A obtained 272 more
marks than C, then the marks obtained
by B is :
SSC CGL Tier II (13/09/2019)
(a) 850 (b) 816
(c) 1020 (d) 952
Q.38. If A is 28% more than B and C is
25% less than the sum of A and B, then
by what percent will C be more than A
(correct to one decimal place)?
SSC CGL Tier II (11/09/2019)
(a) 32.2% (b) 28% (c) 43% (d) 33.6%
Q.39. When the price of an item was
reduced by 25%, then its sale was
increased by x%. If there is an increase of
20% in the receipt of the revenue, then
the value of x will be :
SSC CGL Tier II (11/09/2019)
(a) 50% (b) 60% (c) 45% (d) 75%
Q.40. With reference to a number greater
than one, the difference between itself
and its reciprocal is 25% of the sum of
itself and its reciprocal. By how much
percentage (correct one decimal place)
is the fourth power of the number greater
than its square?
SSC CHSL 11/07/2019 (Morning)
(a) 57.8 (b) 62.5 (c) 64.5 (d) 66.7
Q.41. For an examination of a practical
based subject, the total marks is 100.
The break-up for theory, practical, project
and viva voce is 40%, 30%, 20%, 10%. A
candidate scored 80% in theory, 70% in
practical, 60% in project and 50% in viva
voce. What was her aggregate
percentage ?
SSC CHSL 09/07/2019 (Evening)
(a) 70 (b) 72 (c) 68 (d) 67
Q.42. Two students, A and B, appeared
for an examination. A secured 8 marks
more than B and the marks of the former
was 55% of the sum of their marks. The
marks obtained by A and B, respectively,
are :
SSC CHSL 05/07/2019 (Evening)
(a) 44, 36 (b) 36, 28 (c) 38, 30 (d) 40, 32
Q.43. Sudha decided to donate 12% of
her monthly income to an orphanage. On
the day of donation, she changed her
decision and donated a sum of Rs. 4800
which was equal to 80% of what she had
decided earlier. What is 27% of her
monthly income ?
SSC CHSL 04/07/2019 (Morning)
(a) Rs. 13959 (b) Rs. 11934
(c) Rs. 14040 (d) Rs. 13500
Q.44. If decreasing 120 by x% gives the
same result as increasing 40 by x% then
x% of 210 is what percent less than (x +
20)% of 180?
SSC CGL 04/06/2019 (Morning)
(a) 33 (b)18 (c)16 (d) 20
1
3
2
3
Q.45. The price of an article increases by
20% every year. If the difference between
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Page 4
Pinnacle Day: 66th - 70th Percentage
Percentage
Key Points :-
What does a percentage, say 20% mean?
20% simply means of something.
20
100
Also, you can see = =
20
100
1
5
0 . 2
i.e. 0.2 of something is the same as 20%
of that thing.
? Percentage change
= 100
?????? ?????????? - ???????????????? ??????????
???????????????? ??????????
×
? Percentage point change means
difference between two percentage
rates. For instance, 50% - 30% = 20%,
so here the percentage point change
is 20.
? If the price of a product increases by
%, then to keep expenditure same, ??
percentage reduction in
consumption required
= ( 100)%
??
100 + ??
×
? If the price of a product decreases
by %, then to keep expenditure ??
same, percentage increase in
consumption required
= ( 100)%
??
100 - ??
×
? If A is R% more than B, then B is less
than A by = ( 100)%
??
100 + ??
×
? If A is R% less than B, then B is more
than A by = ( 100)%
??
100 - ??
×
? If the number is ?rst increased by x%
and then decreased by x%, then the
net result is always decrease and it
is equal to = %. Same result (
??
2
100
)
will be obtained in the vice-versa
case.
Successive percentage change :
1. Two successive percentage
change : If the number is ?rst
increased by a% and then
increased by b% then,
Effective percentage change
= (a + b + )%
????
100
Similarly, if the number is ?rst
increased by a% and then
decreased by b%, then
Effective percentage change
= (a - b - )%
????
100
2. Three successive percentage
change : If the number is ?rst
increased by a% then by b% and
then by c%, then
Effective percentage change =
(a + b + c + + )%
???? + ???? + ????
100
??????
10000
Important Fractions and their equivalent
Percentage
1) = 2) = 33 % = 33.33%
1
2
50%
1
3
1
3
3) = 4) =
1
4
25%
1
5
20%
5) = 16.67% 6) = 14 % = 14.28%
1
6
1
7
2
7
7) = 12.5% 8) = 11 % = 11.11%
1
8
1
9
1
9
9) = 10% 10) = 9 % = 9.09%
1
10
1
11
1
11
11) = 8 % 12) = 7.69%
1
12
1
3
1
13
13) = 7.14% 14) = 6.67%
1
14
1
15
15) = 6.25% 16) = 83 %
1
16
5
6
1
3
17) = 37.5% 18) = 62.5%
3
8
5
8
19) = 87.5% 20) = 27.27%
7
8
3
11
21) = 66 % = %
2
3
2
3
200
3
22) = 2 = 233 %
7
3
1
3
1
3
23) = 1 = 112.5%
9
8
1
8
24) = 28.56%
2
7
These fractions are very common and it
will be very helpful to learn them.
Variety Questions
Q.1. In an election between two
candidates, 64% of the voters cast their
votes, out of which 4% of the votes were
declared invalid. A candidate got 12,288
votes which were 64% of the total valid
votes. Find the total number of votes
enrolled in that election.
SSC CHSL Tier II (02/11/2023)
(a) 30,250 (b) 32,152
(c) 31,250 (d) 20,152
Q.2. Ayush spends 25% of an amount of
money on an insurance policy, 26% on
food, 23% on children’s education and
19% on recreation. He deposits the
remaining amount of ?26,600 in the
bank. What is the total amount (in ?) that
he spends on food and recreation
together?
SSC CPO 05/10/2023 (3rd Shift)
(a) 1,95,000 (b) 1,83,000
(c) 1,62,000 (d) 1,71,000
Q.3. The monthly income of an employee
was ?26,500 and his monthly
expenditure was ?22,000. Next year his
income increased by 20% and his
expenditure increased by 15%. Find the
percentage increase in his savings.
SSC CPO 05/10/2023 (2nd Shift)
(a) 44 % (b) 44 %
4
9
7
9
(c) 44 % (d) 44 %
5
9
8
9
Q.4. The cost price of pulses is 12% less
than the selling price. Using a faulty
weighing machine, shopkeeper is able to
earn 25% pro?t. How much percent of
the faulty machine shows more weight
as compared to the actual weight
(Rounded off to the nearest integer)?
SSC CPO 04/10/2023 (3rd Shift)
(a) 10% (b) 14% (c) 13% (d) 15%
Q.5. Swastik saves 20% of his income
while spends the remaining amount on
food, rent, education and shopping. 15%
of the income is spent on food, while
?12,800 is spent on rent, ?32,000 on
education and ?7,200 on shopping. The
amount spent on shopping is 11.25% of
the total expenditure. How much money
(in ?) is spent on food?
SSC CPO 03/10/2023 (2nd Shift)
(a) 9600 (b) 12000 (c) 15000 (d) 10800
Q.6. A number is ?rst increased by 16%
and then increased by 20%. The number
so obtained is now decreased by 40%.
The net decrease percentage in the
original number is:
SSC CHSL 14/08/2023 (4th Shift)
(a) 16 % (b) 15 %
12
25
9
25
(c) 11 % (d) 13 %
13
25
7
25
Q.7. Two candidates A and B contested
in an election. 80% of the voters cast
their votes, out of which 2% of the votes
were invalid. A got 9,408 votes which
was 60% of the valid votes. Find the total
number of votes.
SSC CHSL 10/08/2023 (4th Shift)
(a) 12,000 (b) 22,000
(c) 20,000 (d) 21,000
Q.8. A number ?rst increased by 8% and
then decreased by 3% to get 2619. What
is 5% of that number ?
SSC CHSL 10/08/2023 (3rd Shift)
(a) 125 (b) 135 (c) 130 (d) 140
Q.9. A spends 68% of his monthly
income. If A's monthly income increases
by 25% and his monthly saving increases
by 15%, then the percentage increase in
his monthly expenditure will be:
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SSC CHSL 09/08/2023 (1st Shift)
(a) 27 % (b) 29 %
13
17
12
17
(c) 33 % (d) 31 %
7
17
6
17
Q.10. Harsha's expenditure is 45% of her
income. If the income from the next
month is increased by 15% and the
amount she saved each month remains
the same, then ?nd the percentage
increase in her expenditure (rounded off
to 2 decimal places).
SSC CHSL 07/08/2023 (4th Shift)
(a) 33.33% (b) 15.00%
(c) 45.00% (d) 27.50%
Q.11. The price of an article is increased
by r%. The new price was decreased by
r% later. Now the latest price is
Rs.1.What was the original price of the
article?
SSC CGL 20/07/2023 (3rd shift)
(a) (b)
10000
10000 - ??
2
10000 - ??
2
10000
(c) (d)
100
100 - ??
2
100
1 - ??
2
Q.12. Aditya buys 300 mangoes for
Rs.1,100. Some of these mangoes are
rotten and are thrown away. He sells the
remaining mangoes at Rs.5 each and
makes a pro?t of Rs.150. Find the
percentage of mangoes thrown away.
SSC CGL 19/07/2023 (4th shift)
(a) 16 (b)
1
2
% 15
2
3
%
(c) 16 (d) 16
2
3
%
1
3
%
Q.13. In an election, 15% of the voters on
the voters list did not cast their votes and
100 voters cast their ballot paper blank.
There were only two candidates Ram and
Shyam. The winner, Ram, was supported
by 69% of all the voters in the list and he
got 630 votes more than Shyam. Find the
number of voters on the list.
Matriculation Level 30/06/2023 (Shift - 3)
(a) 1200 (b) 1000 (c) 1100 (d) 1300
Q.14. If the price of rice is increased by
25 percent, then by what percentage
consumption of rice should be
decreased so that the expenditure
incurred on rice gets decreased by 40
percent?
SSC CHSL 21/03/2023 (4th Shift)
(a) 52 % (b) 43.33 (c) 42 % (d) 48 %
Q.15. Shiva’s monthly salary is
Rs.75,000. He spends Rs.12,000 on
household items, Rs.14,000 on LIC and
mutual funds, Rs.15,000 on his children’s
education, and keeps Rs.10,000 for
miscellaneous expenses. His savings are
Rs.21,000 per month and he donates the
rest of the amount to an orphanage. The
percentage of his income that he
donates is:
SSC CGL 13/12/2022 (3rd Shift)
(a) 3% (b) 6% (c) 8% (d) 4%
Q.16. The expenditure on the cost of
living of a man and his family is 60% of
his salary. He gets two increments of
30% and 60% in his salary. If his saving
increases by 250% of his initial saving,
then the new cost of living expenditure is
what percentage (rounded off to the
nearest integer) of the increased salary?
SSC CGL 12/12/2022 (4th Shift)
(a) 32.7 Percent (b) 43.6 Percent
(c) 29.5 Percent (d) 36.6 Percent
Q.17. A mask manufacturing company
manufactured ‘X’ number of masks in
2018. It increased its manufacturing
capacity by 30% in 2019 and further
increased its manufacturing by 15% in
2020. In 2021, due to the machinery
breakdown, its manufacturing declined
by 40%. What is the value of ‘X’ if it
manufactured 179400 masks in 2021?
SSC CGL 07/12/2022 (1st Shift)
(a) 180000 (b) 230000
(c) 200000 (d) 210000
Q.18. The population of country A
decreased by p% and the population of
country B decreased by q% from the
year 2020 to 2021. Here 'p' is greater
than 'q'. Let 'x' be the ratio of the
population of country A to the population
of country B in the given year. What is the
percentage decrease in 'x' from 2020 to
2021?
SSC CGL 06/12/2022 (2nd Shift)
(a) (b)
100 ( ?? - ?? )
( 100 - ?? )
100 ( ?? - ?? )
100 + ??
(c) (d)
100 ( ?? - ?? )
100 - ??
100 ( ?? - ?? )
100
Q.19. In an election between two
candidates, the defeated candidate
secured 42% of the valid votes polled and
lost the election by 7,68,400 votes. If
82,560 votes were declared invalid and
20% people did NOT cast their vote, then
the invalid votes were what percentage
(rounded off to 1 decimal place) of the
votes which people did NOT cast ?
SSC CGL 02/12/2022 (2nd Shift)
(a) 10.6 Percent (b) 9.8 Percent
(c) 12.9 Percent (d) 6.8 Percent
Q.20. Sonam is a cab driver, who plies
within a city. The number of kilometres
that she drives on a Tuesday was 12.5%
less than the number of kilometres that
she drives on the day before.On the other
hand, the number of kilometres that she
drives on Wednesday was 20% more
than the number of kilometres that she
drives on Tuesday. If Sonam drives a
total of 336 km on Wednesday, how
many kilometers did she drive on
Monday ?
SSC CHSL 02/06/2022 (Morning)
(a) 315 (b) 318 (c) 320 (d) 324
Q.21. In an election, there were three
candidates: A, B and C. 10% of the
eligible voters did not vote. Out of those
who voted, 45% voted for A, 35% voted
for B and the remaining 20% voted for C.
30% of the votes polled for A and 20% of
the votes polled for B were later deemed
invalid, while all the votes polled for C
were deemed valid. If A got 882 more
valid votes than B did, how many valid
votes did C receive?
SSC CHSL 27/05/2022 ( Afternoon )
(a) 5020 (b) 5040 (c) 5050 (d) 5060
Q.22. A fruit seller sells 45% of the
oranges that he has along with one more
oranges to a customer . He then sells
20% of the remaining oranges and 2
more oranges to a second customer. He
then sells 90% of the now remaining
oranges to a third customer and is still
left with 5 oranges. How many oranges
did the fruit seller have initially?
SSC CGL 19/04/2022 (Evening)
(a) 100 (b) 111 (c) 121 (d) 120
Q.23. By mistake, the reciprocal of a
positive fraction got typed in place of
itself, and thereby its value got reduced
by %. What was the value of the
175
4
fraction?
SSC CGL 24/08/2021 (Evening)
(a) (b) (c) (d)
1
2
4
3
3
4
1
4
Q.24. The income of A is 20% less than
the income of B and the income of C is
70% of the sum of incomes of A and B.
The income of D is 25% more than the
income of C. If the difference between
the incomes of B and D is Rs 23000, then
what is the income (in Rs) of A?
SSC CGL 18/08/2021 (Afternoon)
(a) 32000 (b) 25000 (c) 26000 (d) 28000
Q.25. A certain number of students from
school X appeared in an examination and
20% students failed. From school Y,
130% more students than that from
school X, appeared in the same
examination. If 90% of the total number
of students appeared from both the
schools passed, then what is the
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Pinnacle Day: 66th - 70th Percentage
percentage of students from school Y
who failed (correct to one decimal
place)?
SSC CGL 17/08/2021 (Morning)
(a) 8.3% (b) 10% (c) 6.4% (d) 5.7%
Q.26. In a workshop with 80 students
and 10 resource persons, sweets were
distributed at the end of the workshop.
The amount spent for distributing sweets
to each student was 30% of the total
number of students and the amount
spent towards each resource person was
40% of the total number of students. The
total amount spent for sweets
distribution in the workshop was:
SSC CHSL 10/08/2021 (Afternoon)
(a) Rs. 2400 (b) Rs. 2440
(c) Rs. 2420 (d) Rs. 2240
Q.27. In a constituency, 55% of the total
number of voters are males and the rest
are females. If 40% of the males are
illiterate and 40% of the females are
literate, then by what percentage is the
number of illiterate females more than
that if the illiterate males(correct to the
one decimal place)
SSC CHSL 04/08/2021 (Evening)
(a) 22.7% (b) 16.4% (c) 21.5% (d) 20.8%
Q.28. A reduction of 20% in the price of
sugar enables a purchaser to obtain 4 kg
more for Rs.160. The original price of
sugar per kg is:
SSC CHSL 20/10/2020 (Morning)
(a) 12 (b) 10 (c) 14 (d) 15
Q.29. A student multiplied a number with
instead of . What is the error
3
4
4
3
percentage?
SSC CHSL 15/10/2020 (Afternoon)
(a) 59.67% (b) 43.75%
(c) 67.45% (d) 39.34%
Q.30 . A crate of fruits contains one
spoiled fruit for every 25 fruits. 60% of
the spoiled fruits were sold. If the seller
had sold 48 spoiled fruits, then the
number of fruits in the crate were:
SSC CHSL 14/10/2020 (Afternoon)
(a) 2000 (b) 2400 (c) 3000 (d) 1200
Q.31. If each edge of a cube is increased
by 10%, then the percentage increase in
its surface area is:
SSC CHSL 13/10/2020 (Afternoon)
(a) 21% (b) 19% (c) 22% (d) 20%
Q.32. In a school, 4% of the students did
not appear for the annual exams. 10% of
the students who appeared for the
exams could not pass the exam. Out of
the remaining students, 50% got
distinction marks and 432 students
passed the exam but could not get
distinction marks. The total number of
students in the school is:
SSC CGL 06/03/2020 (Afternoon)
(a) 960 (b) 1000 (c) 878 (d) 1200
Q.33. A, B and C donate 8%,7% and 9%,
of their salaries respectively to a
charitable trust. The salaries of A and B
are the same and the difference between
their donations is ?259. The total
donation of A and B is ?1,185 more than
that of C. The total donation of A and C is
what percentage of the total salaries of
A, B and C? (Correct to one decimal
place)
SSC CGL 04/03/2020 (Evening)
(a) 6.2 % (b) 5.8 % (c) 6.4 % (d) 7.1%
Q.34. The income of A is 60% less than
that of B, and the expenditure of A is
equal to 60% of B’s expenditure. If A’s
income is equal to 70% of B’s
expenditure, then what is the ratio of the
savings of A and B?
SSC CGL 04/03/2020 (Afternoon)
(a) 3 : 8 (b) 5 : 9 (c) 4 : 7 (d) 2 : 15
Q.35. The population of town B is 300%
more than that of town A. For the next
two years, the population of A increases
by x% per year and that of B decreases
by the same percentage per year. After 2
years, if the population of A and B
become equal, then the value of x is ____.
SSC CPO 13/12/2019(Evening)
(a) 30 (b) 40 (c) 25 (d) 33
2
3
1
3
Q.36. The monthly salary of a person
was Rs.50,000. He used to spend on
three heads- personal and family
expenses (E), taxes(T), philanthropy (P),
and the rest were his savings. E was 50%
of the income, T was 20%of E and P was
15% of T. When his salary got raised by
40%, he maintained the average level of
E, but T became 30% of E and P became
20% of T. By what percentage is the new
savings more or less than the earlier
savings?(correct upto one decimal place)
SSC CPO 09/12/2019 (Morning)
(a) 16.4% more (b) 8.2% more
(c) 16.4% less (d) 8.2% less
Q.37. In an examination, A obtained 10%
more marks than B, B obtained 20% more
marks than C and C obtained 32% less
marks that D. If A obtained 272 more
marks than C, then the marks obtained
by B is :
SSC CGL Tier II (13/09/2019)
(a) 850 (b) 816
(c) 1020 (d) 952
Q.38. If A is 28% more than B and C is
25% less than the sum of A and B, then
by what percent will C be more than A
(correct to one decimal place)?
SSC CGL Tier II (11/09/2019)
(a) 32.2% (b) 28% (c) 43% (d) 33.6%
Q.39. When the price of an item was
reduced by 25%, then its sale was
increased by x%. If there is an increase of
20% in the receipt of the revenue, then
the value of x will be :
SSC CGL Tier II (11/09/2019)
(a) 50% (b) 60% (c) 45% (d) 75%
Q.40. With reference to a number greater
than one, the difference between itself
and its reciprocal is 25% of the sum of
itself and its reciprocal. By how much
percentage (correct one decimal place)
is the fourth power of the number greater
than its square?
SSC CHSL 11/07/2019 (Morning)
(a) 57.8 (b) 62.5 (c) 64.5 (d) 66.7
Q.41. For an examination of a practical
based subject, the total marks is 100.
The break-up for theory, practical, project
and viva voce is 40%, 30%, 20%, 10%. A
candidate scored 80% in theory, 70% in
practical, 60% in project and 50% in viva
voce. What was her aggregate
percentage ?
SSC CHSL 09/07/2019 (Evening)
(a) 70 (b) 72 (c) 68 (d) 67
Q.42. Two students, A and B, appeared
for an examination. A secured 8 marks
more than B and the marks of the former
was 55% of the sum of their marks. The
marks obtained by A and B, respectively,
are :
SSC CHSL 05/07/2019 (Evening)
(a) 44, 36 (b) 36, 28 (c) 38, 30 (d) 40, 32
Q.43. Sudha decided to donate 12% of
her monthly income to an orphanage. On
the day of donation, she changed her
decision and donated a sum of Rs. 4800
which was equal to 80% of what she had
decided earlier. What is 27% of her
monthly income ?
SSC CHSL 04/07/2019 (Morning)
(a) Rs. 13959 (b) Rs. 11934
(c) Rs. 14040 (d) Rs. 13500
Q.44. If decreasing 120 by x% gives the
same result as increasing 40 by x% then
x% of 210 is what percent less than (x +
20)% of 180?
SSC CGL 04/06/2019 (Morning)
(a) 33 (b)18 (c)16 (d) 20
1
3
2
3
Q.45. The price of an article increases by
20% every year. If the difference between
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Pinnacle Day: 66th - 70th Percentage
the prices at the end of the third and
fourth years is Rs. 259.20, then 40% of
the price (In Rs.) at the end of the second
year is :
SSC CHSL 03/06/2019 (Evening)
(a) 484 (b) 432 (c) 384 (d) 472
Q.46. In an examination, Shreya scored
84 out of 90 in Mathematics, 45 out of 50
in Science, 23 out of 25 in Computer
Science and 68 out of 80 in English. In
which subject did Shreya score the
highest percentage?
SSC CPO 16/03/2019 (Afternoon)
(a) Mathematics (b) English
(c) Science (d) Computer Science
Q.47. The price of petrol was raised by
15%. By how much percentage should a
motorist reduce the consumption of
petrol so that the expenditure on it does
not increase?
SSC CPO 15 /03/2019 (Morning)
(a) 9 % (b) 15 %
2
11
3
13
(c) 13 % (d) 6 %
1
23
7
8
Q.48. A marketing agent earns a
commission of 2% on ?rst Rs. 2,00,000,
1.5% on next Rs 2,00,000 and 1% on the
remaining amount of sales made in a
month. If the sales achieved by the agent
for the month of April 2018 are Rs.
5,68,000. The commission earned is
SSC CPO 15/03/2019 (Morning)
(a) Rs.8680 (b) Rs.7730
(c) Rs.8240 (d) Rs.7105
Practice Questions
SSC CHSL 2023 Tier - 2
Q.49. The population of the city was
1,75,000 two years ago. If it had
increased by 4% and 5% in the last two
years, ?nd the present population of the
city.
SSC CHSL Tier II (02/11/2023)
(a) 1,89,200 (b) 1,92,100
(c) 1,93,200 (d) 1,91,100
Q.50. A number is increased by 25% and
then decreased by 16%, the ?nal value of
the number:
SSC CHSL Tier II (02/11/2023)
(a) decreases by 13%
(b) increases by 5%
(c) does not change
(d) decreases by 5%
Q.51. A dishonest shopkeeper sells rice
at a cost price but makes a 25% pro?t by
using faulty weights. He decides to give
a discount to attract more customers.
What percent of discount should he offer
to make 10% pro?t ?
SSC CHSL Tier II (02/11/2023)
(a) 11% (b) 12% (c) 10% (d) 9%
Q.52. In an election, a candidate who
gets 90% votes is elected by a margin of
800 votes. What is the total number of
votes polled?
Note: There are only two candidates
contesting the election and assume all
the votes were valid.
SSC CHSL Tier II (10/01/2024)
(a) 1050 (b) 950 (c) 1000 (d) 900
SSC CPO 2023 Tier - 1
Q.53. A man spends 72% of his salary
and saves ?5,740 per month. What is
10% of his annual salary (in ?)?
SSC CPO 03/10/2023 (1st Shift)
(a) ?21600 (b) ?24600
(c) ?28400 (d) ?20500
Q.54. In an election between two
candidates, 80% of the voters cast their
votes, out of which 5% votes were
declared invalid. A candidate got 9500
votes which were 80% of the valid votes.
Find the total number of voters enrolled
in that election.
SSC CPO 04/10/2023 (1st Shift)
(a) 14780 (b) 15625
(c) 16100 (d) 15100
Q.55. The fraction equivalent to % is:
1
5
SSC CPO 04/10/2023 (1st Shift)
(a) (b) (c) (d)
1
125
1
500
1
200
1
40
Q.56. In an election between two
candidates, 30% of the electorate did not
cast their votes. 20% of the votes polled
were found invalid. The winning
candidate got 64% of the valid votes and
won by a majority of 3136 votes. Find the
number of voters enrolled in the voter
list.
SSC CPO 04/10/2023 (3rd Shift)
(a) 24000 (b) 20000 (c) 25000 (d) 30000
Q.57. In an election between two
candidates, the difference between the
candidates who won and lost was 2,500
votes. The candidate who won got 75%
of the votes, and there were no invalid
votes. The total number of votes polled
of the losing candidate was:
SSC CPO 04/10/2023 (3rd Shift)
(a) 1875 (b) 1250 (c) 5000 (d) 3750
Q.58. In an election between two
candidates, 20% of the voters on the
voters list did not cast their votes and 80
voters cast their ballot papers blank. The
winner secured 45% of all the voters in
the list and he got 280 votes more than
his rival. The number of voters on the list
was:
SSC CPO 05/10/2023 (1st Shift)
(a) 2000 (b) 2800 (c) 2500 (d) 1500
Q.59. A family earns ?75,000, out of
which 10% is saved. 30% of the
expenditure is incurred on education,
while ?30,375 is spent on health and the
remaining amount is spent on food. What
is the percentage of food expenditure to
the total income?
SSC CPO 05/10/2023 (2nd Shift)
(a) 20% (b) 21.5% (c) 22.5% (d) 32.5%
Q.60. Three candidates contested an
election and won 1136, 7636 and 11628
votes, respectively. What percentage of
the total votes did the winning candidate
get ?
SSC CPO 05/10/2023 (2nd Shift)
(a) 57 (b) 45 (c) 33 (d) 49
SSC MTS 2023 Tier -1
Q.61. If the ?rst number is 20% less than
the third number and the ratio of the
second to the third number is 7 : 10, then
the average of the ?rst and the third
number is how much percent more than
the second number ?
SSC MTS 01/09/2023 (1st Shift)
(a) (b) (c) (d) 26
4
7
28
2
7
28
4
7
24
2
7
Q.62. A contractor reduces the working
time of a week (Monday to Saturday)
from 48 hours to 36 hours for his
workers without changing the payment.
What is the percentage increase in the
hourly rate?
SSC MTS 05/09/2023 (3rd Shift)
(a) 30 % (b) 33 %
1
3
1
3
(c) 67 % (d) 70 %
2
3
2
3
Q.63. If due to a 12% decrease in the
price of sugar, Akshat can buy 7 kg more
sugar for ?1,200, then ?nd the actual
price (in ?) of sugar. (Rounded off to 2
decimal places)
SSC MTS 12/09/2023 (2nd Shift)
(a) 23.38 (b) 28.25 (c) 25.79 (d) 26.35
Q.64. A family spends 20% of its monthly
income on house rent. Out of the
remaining amount, the family spends
50% on household expenditure and 20%
on children's education. If after doing so,
its monthly saving is ?6,600, then what is
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Page 5
Pinnacle Day: 66th - 70th Percentage
Percentage
Key Points :-
What does a percentage, say 20% mean?
20% simply means of something.
20
100
Also, you can see = =
20
100
1
5
0 . 2
i.e. 0.2 of something is the same as 20%
of that thing.
? Percentage change
= 100
?????? ?????????? - ???????????????? ??????????
???????????????? ??????????
×
? Percentage point change means
difference between two percentage
rates. For instance, 50% - 30% = 20%,
so here the percentage point change
is 20.
? If the price of a product increases by
%, then to keep expenditure same, ??
percentage reduction in
consumption required
= ( 100)%
??
100 + ??
×
? If the price of a product decreases
by %, then to keep expenditure ??
same, percentage increase in
consumption required
= ( 100)%
??
100 - ??
×
? If A is R% more than B, then B is less
than A by = ( 100)%
??
100 + ??
×
? If A is R% less than B, then B is more
than A by = ( 100)%
??
100 - ??
×
? If the number is ?rst increased by x%
and then decreased by x%, then the
net result is always decrease and it
is equal to = %. Same result (
??
2
100
)
will be obtained in the vice-versa
case.
Successive percentage change :
1. Two successive percentage
change : If the number is ?rst
increased by a% and then
increased by b% then,
Effective percentage change
= (a + b + )%
????
100
Similarly, if the number is ?rst
increased by a% and then
decreased by b%, then
Effective percentage change
= (a - b - )%
????
100
2. Three successive percentage
change : If the number is ?rst
increased by a% then by b% and
then by c%, then
Effective percentage change =
(a + b + c + + )%
???? + ???? + ????
100
??????
10000
Important Fractions and their equivalent
Percentage
1) = 2) = 33 % = 33.33%
1
2
50%
1
3
1
3
3) = 4) =
1
4
25%
1
5
20%
5) = 16.67% 6) = 14 % = 14.28%
1
6
1
7
2
7
7) = 12.5% 8) = 11 % = 11.11%
1
8
1
9
1
9
9) = 10% 10) = 9 % = 9.09%
1
10
1
11
1
11
11) = 8 % 12) = 7.69%
1
12
1
3
1
13
13) = 7.14% 14) = 6.67%
1
14
1
15
15) = 6.25% 16) = 83 %
1
16
5
6
1
3
17) = 37.5% 18) = 62.5%
3
8
5
8
19) = 87.5% 20) = 27.27%
7
8
3
11
21) = 66 % = %
2
3
2
3
200
3
22) = 2 = 233 %
7
3
1
3
1
3
23) = 1 = 112.5%
9
8
1
8
24) = 28.56%
2
7
These fractions are very common and it
will be very helpful to learn them.
Variety Questions
Q.1. In an election between two
candidates, 64% of the voters cast their
votes, out of which 4% of the votes were
declared invalid. A candidate got 12,288
votes which were 64% of the total valid
votes. Find the total number of votes
enrolled in that election.
SSC CHSL Tier II (02/11/2023)
(a) 30,250 (b) 32,152
(c) 31,250 (d) 20,152
Q.2. Ayush spends 25% of an amount of
money on an insurance policy, 26% on
food, 23% on children’s education and
19% on recreation. He deposits the
remaining amount of ?26,600 in the
bank. What is the total amount (in ?) that
he spends on food and recreation
together?
SSC CPO 05/10/2023 (3rd Shift)
(a) 1,95,000 (b) 1,83,000
(c) 1,62,000 (d) 1,71,000
Q.3. The monthly income of an employee
was ?26,500 and his monthly
expenditure was ?22,000. Next year his
income increased by 20% and his
expenditure increased by 15%. Find the
percentage increase in his savings.
SSC CPO 05/10/2023 (2nd Shift)
(a) 44 % (b) 44 %
4
9
7
9
(c) 44 % (d) 44 %
5
9
8
9
Q.4. The cost price of pulses is 12% less
than the selling price. Using a faulty
weighing machine, shopkeeper is able to
earn 25% pro?t. How much percent of
the faulty machine shows more weight
as compared to the actual weight
(Rounded off to the nearest integer)?
SSC CPO 04/10/2023 (3rd Shift)
(a) 10% (b) 14% (c) 13% (d) 15%
Q.5. Swastik saves 20% of his income
while spends the remaining amount on
food, rent, education and shopping. 15%
of the income is spent on food, while
?12,800 is spent on rent, ?32,000 on
education and ?7,200 on shopping. The
amount spent on shopping is 11.25% of
the total expenditure. How much money
(in ?) is spent on food?
SSC CPO 03/10/2023 (2nd Shift)
(a) 9600 (b) 12000 (c) 15000 (d) 10800
Q.6. A number is ?rst increased by 16%
and then increased by 20%. The number
so obtained is now decreased by 40%.
The net decrease percentage in the
original number is:
SSC CHSL 14/08/2023 (4th Shift)
(a) 16 % (b) 15 %
12
25
9
25
(c) 11 % (d) 13 %
13
25
7
25
Q.7. Two candidates A and B contested
in an election. 80% of the voters cast
their votes, out of which 2% of the votes
were invalid. A got 9,408 votes which
was 60% of the valid votes. Find the total
number of votes.
SSC CHSL 10/08/2023 (4th Shift)
(a) 12,000 (b) 22,000
(c) 20,000 (d) 21,000
Q.8. A number ?rst increased by 8% and
then decreased by 3% to get 2619. What
is 5% of that number ?
SSC CHSL 10/08/2023 (3rd Shift)
(a) 125 (b) 135 (c) 130 (d) 140
Q.9. A spends 68% of his monthly
income. If A's monthly income increases
by 25% and his monthly saving increases
by 15%, then the percentage increase in
his monthly expenditure will be:
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SSC CHSL 09/08/2023 (1st Shift)
(a) 27 % (b) 29 %
13
17
12
17
(c) 33 % (d) 31 %
7
17
6
17
Q.10. Harsha's expenditure is 45% of her
income. If the income from the next
month is increased by 15% and the
amount she saved each month remains
the same, then ?nd the percentage
increase in her expenditure (rounded off
to 2 decimal places).
SSC CHSL 07/08/2023 (4th Shift)
(a) 33.33% (b) 15.00%
(c) 45.00% (d) 27.50%
Q.11. The price of an article is increased
by r%. The new price was decreased by
r% later. Now the latest price is
Rs.1.What was the original price of the
article?
SSC CGL 20/07/2023 (3rd shift)
(a) (b)
10000
10000 - ??
2
10000 - ??
2
10000
(c) (d)
100
100 - ??
2
100
1 - ??
2
Q.12. Aditya buys 300 mangoes for
Rs.1,100. Some of these mangoes are
rotten and are thrown away. He sells the
remaining mangoes at Rs.5 each and
makes a pro?t of Rs.150. Find the
percentage of mangoes thrown away.
SSC CGL 19/07/2023 (4th shift)
(a) 16 (b)
1
2
% 15
2
3
%
(c) 16 (d) 16
2
3
%
1
3
%
Q.13. In an election, 15% of the voters on
the voters list did not cast their votes and
100 voters cast their ballot paper blank.
There were only two candidates Ram and
Shyam. The winner, Ram, was supported
by 69% of all the voters in the list and he
got 630 votes more than Shyam. Find the
number of voters on the list.
Matriculation Level 30/06/2023 (Shift - 3)
(a) 1200 (b) 1000 (c) 1100 (d) 1300
Q.14. If the price of rice is increased by
25 percent, then by what percentage
consumption of rice should be
decreased so that the expenditure
incurred on rice gets decreased by 40
percent?
SSC CHSL 21/03/2023 (4th Shift)
(a) 52 % (b) 43.33 (c) 42 % (d) 48 %
Q.15. Shiva’s monthly salary is
Rs.75,000. He spends Rs.12,000 on
household items, Rs.14,000 on LIC and
mutual funds, Rs.15,000 on his children’s
education, and keeps Rs.10,000 for
miscellaneous expenses. His savings are
Rs.21,000 per month and he donates the
rest of the amount to an orphanage. The
percentage of his income that he
donates is:
SSC CGL 13/12/2022 (3rd Shift)
(a) 3% (b) 6% (c) 8% (d) 4%
Q.16. The expenditure on the cost of
living of a man and his family is 60% of
his salary. He gets two increments of
30% and 60% in his salary. If his saving
increases by 250% of his initial saving,
then the new cost of living expenditure is
what percentage (rounded off to the
nearest integer) of the increased salary?
SSC CGL 12/12/2022 (4th Shift)
(a) 32.7 Percent (b) 43.6 Percent
(c) 29.5 Percent (d) 36.6 Percent
Q.17. A mask manufacturing company
manufactured ‘X’ number of masks in
2018. It increased its manufacturing
capacity by 30% in 2019 and further
increased its manufacturing by 15% in
2020. In 2021, due to the machinery
breakdown, its manufacturing declined
by 40%. What is the value of ‘X’ if it
manufactured 179400 masks in 2021?
SSC CGL 07/12/2022 (1st Shift)
(a) 180000 (b) 230000
(c) 200000 (d) 210000
Q.18. The population of country A
decreased by p% and the population of
country B decreased by q% from the
year 2020 to 2021. Here 'p' is greater
than 'q'. Let 'x' be the ratio of the
population of country A to the population
of country B in the given year. What is the
percentage decrease in 'x' from 2020 to
2021?
SSC CGL 06/12/2022 (2nd Shift)
(a) (b)
100 ( ?? - ?? )
( 100 - ?? )
100 ( ?? - ?? )
100 + ??
(c) (d)
100 ( ?? - ?? )
100 - ??
100 ( ?? - ?? )
100
Q.19. In an election between two
candidates, the defeated candidate
secured 42% of the valid votes polled and
lost the election by 7,68,400 votes. If
82,560 votes were declared invalid and
20% people did NOT cast their vote, then
the invalid votes were what percentage
(rounded off to 1 decimal place) of the
votes which people did NOT cast ?
SSC CGL 02/12/2022 (2nd Shift)
(a) 10.6 Percent (b) 9.8 Percent
(c) 12.9 Percent (d) 6.8 Percent
Q.20. Sonam is a cab driver, who plies
within a city. The number of kilometres
that she drives on a Tuesday was 12.5%
less than the number of kilometres that
she drives on the day before.On the other
hand, the number of kilometres that she
drives on Wednesday was 20% more
than the number of kilometres that she
drives on Tuesday. If Sonam drives a
total of 336 km on Wednesday, how
many kilometers did she drive on
Monday ?
SSC CHSL 02/06/2022 (Morning)
(a) 315 (b) 318 (c) 320 (d) 324
Q.21. In an election, there were three
candidates: A, B and C. 10% of the
eligible voters did not vote. Out of those
who voted, 45% voted for A, 35% voted
for B and the remaining 20% voted for C.
30% of the votes polled for A and 20% of
the votes polled for B were later deemed
invalid, while all the votes polled for C
were deemed valid. If A got 882 more
valid votes than B did, how many valid
votes did C receive?
SSC CHSL 27/05/2022 ( Afternoon )
(a) 5020 (b) 5040 (c) 5050 (d) 5060
Q.22. A fruit seller sells 45% of the
oranges that he has along with one more
oranges to a customer . He then sells
20% of the remaining oranges and 2
more oranges to a second customer. He
then sells 90% of the now remaining
oranges to a third customer and is still
left with 5 oranges. How many oranges
did the fruit seller have initially?
SSC CGL 19/04/2022 (Evening)
(a) 100 (b) 111 (c) 121 (d) 120
Q.23. By mistake, the reciprocal of a
positive fraction got typed in place of
itself, and thereby its value got reduced
by %. What was the value of the
175
4
fraction?
SSC CGL 24/08/2021 (Evening)
(a) (b) (c) (d)
1
2
4
3
3
4
1
4
Q.24. The income of A is 20% less than
the income of B and the income of C is
70% of the sum of incomes of A and B.
The income of D is 25% more than the
income of C. If the difference between
the incomes of B and D is Rs 23000, then
what is the income (in Rs) of A?
SSC CGL 18/08/2021 (Afternoon)
(a) 32000 (b) 25000 (c) 26000 (d) 28000
Q.25. A certain number of students from
school X appeared in an examination and
20% students failed. From school Y,
130% more students than that from
school X, appeared in the same
examination. If 90% of the total number
of students appeared from both the
schools passed, then what is the
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percentage of students from school Y
who failed (correct to one decimal
place)?
SSC CGL 17/08/2021 (Morning)
(a) 8.3% (b) 10% (c) 6.4% (d) 5.7%
Q.26. In a workshop with 80 students
and 10 resource persons, sweets were
distributed at the end of the workshop.
The amount spent for distributing sweets
to each student was 30% of the total
number of students and the amount
spent towards each resource person was
40% of the total number of students. The
total amount spent for sweets
distribution in the workshop was:
SSC CHSL 10/08/2021 (Afternoon)
(a) Rs. 2400 (b) Rs. 2440
(c) Rs. 2420 (d) Rs. 2240
Q.27. In a constituency, 55% of the total
number of voters are males and the rest
are females. If 40% of the males are
illiterate and 40% of the females are
literate, then by what percentage is the
number of illiterate females more than
that if the illiterate males(correct to the
one decimal place)
SSC CHSL 04/08/2021 (Evening)
(a) 22.7% (b) 16.4% (c) 21.5% (d) 20.8%
Q.28. A reduction of 20% in the price of
sugar enables a purchaser to obtain 4 kg
more for Rs.160. The original price of
sugar per kg is:
SSC CHSL 20/10/2020 (Morning)
(a) 12 (b) 10 (c) 14 (d) 15
Q.29. A student multiplied a number with
instead of . What is the error
3
4
4
3
percentage?
SSC CHSL 15/10/2020 (Afternoon)
(a) 59.67% (b) 43.75%
(c) 67.45% (d) 39.34%
Q.30 . A crate of fruits contains one
spoiled fruit for every 25 fruits. 60% of
the spoiled fruits were sold. If the seller
had sold 48 spoiled fruits, then the
number of fruits in the crate were:
SSC CHSL 14/10/2020 (Afternoon)
(a) 2000 (b) 2400 (c) 3000 (d) 1200
Q.31. If each edge of a cube is increased
by 10%, then the percentage increase in
its surface area is:
SSC CHSL 13/10/2020 (Afternoon)
(a) 21% (b) 19% (c) 22% (d) 20%
Q.32. In a school, 4% of the students did
not appear for the annual exams. 10% of
the students who appeared for the
exams could not pass the exam. Out of
the remaining students, 50% got
distinction marks and 432 students
passed the exam but could not get
distinction marks. The total number of
students in the school is:
SSC CGL 06/03/2020 (Afternoon)
(a) 960 (b) 1000 (c) 878 (d) 1200
Q.33. A, B and C donate 8%,7% and 9%,
of their salaries respectively to a
charitable trust. The salaries of A and B
are the same and the difference between
their donations is ?259. The total
donation of A and B is ?1,185 more than
that of C. The total donation of A and C is
what percentage of the total salaries of
A, B and C? (Correct to one decimal
place)
SSC CGL 04/03/2020 (Evening)
(a) 6.2 % (b) 5.8 % (c) 6.4 % (d) 7.1%
Q.34. The income of A is 60% less than
that of B, and the expenditure of A is
equal to 60% of B’s expenditure. If A’s
income is equal to 70% of B’s
expenditure, then what is the ratio of the
savings of A and B?
SSC CGL 04/03/2020 (Afternoon)
(a) 3 : 8 (b) 5 : 9 (c) 4 : 7 (d) 2 : 15
Q.35. The population of town B is 300%
more than that of town A. For the next
two years, the population of A increases
by x% per year and that of B decreases
by the same percentage per year. After 2
years, if the population of A and B
become equal, then the value of x is ____.
SSC CPO 13/12/2019(Evening)
(a) 30 (b) 40 (c) 25 (d) 33
2
3
1
3
Q.36. The monthly salary of a person
was Rs.50,000. He used to spend on
three heads- personal and family
expenses (E), taxes(T), philanthropy (P),
and the rest were his savings. E was 50%
of the income, T was 20%of E and P was
15% of T. When his salary got raised by
40%, he maintained the average level of
E, but T became 30% of E and P became
20% of T. By what percentage is the new
savings more or less than the earlier
savings?(correct upto one decimal place)
SSC CPO 09/12/2019 (Morning)
(a) 16.4% more (b) 8.2% more
(c) 16.4% less (d) 8.2% less
Q.37. In an examination, A obtained 10%
more marks than B, B obtained 20% more
marks than C and C obtained 32% less
marks that D. If A obtained 272 more
marks than C, then the marks obtained
by B is :
SSC CGL Tier II (13/09/2019)
(a) 850 (b) 816
(c) 1020 (d) 952
Q.38. If A is 28% more than B and C is
25% less than the sum of A and B, then
by what percent will C be more than A
(correct to one decimal place)?
SSC CGL Tier II (11/09/2019)
(a) 32.2% (b) 28% (c) 43% (d) 33.6%
Q.39. When the price of an item was
reduced by 25%, then its sale was
increased by x%. If there is an increase of
20% in the receipt of the revenue, then
the value of x will be :
SSC CGL Tier II (11/09/2019)
(a) 50% (b) 60% (c) 45% (d) 75%
Q.40. With reference to a number greater
than one, the difference between itself
and its reciprocal is 25% of the sum of
itself and its reciprocal. By how much
percentage (correct one decimal place)
is the fourth power of the number greater
than its square?
SSC CHSL 11/07/2019 (Morning)
(a) 57.8 (b) 62.5 (c) 64.5 (d) 66.7
Q.41. For an examination of a practical
based subject, the total marks is 100.
The break-up for theory, practical, project
and viva voce is 40%, 30%, 20%, 10%. A
candidate scored 80% in theory, 70% in
practical, 60% in project and 50% in viva
voce. What was her aggregate
percentage ?
SSC CHSL 09/07/2019 (Evening)
(a) 70 (b) 72 (c) 68 (d) 67
Q.42. Two students, A and B, appeared
for an examination. A secured 8 marks
more than B and the marks of the former
was 55% of the sum of their marks. The
marks obtained by A and B, respectively,
are :
SSC CHSL 05/07/2019 (Evening)
(a) 44, 36 (b) 36, 28 (c) 38, 30 (d) 40, 32
Q.43. Sudha decided to donate 12% of
her monthly income to an orphanage. On
the day of donation, she changed her
decision and donated a sum of Rs. 4800
which was equal to 80% of what she had
decided earlier. What is 27% of her
monthly income ?
SSC CHSL 04/07/2019 (Morning)
(a) Rs. 13959 (b) Rs. 11934
(c) Rs. 14040 (d) Rs. 13500
Q.44. If decreasing 120 by x% gives the
same result as increasing 40 by x% then
x% of 210 is what percent less than (x +
20)% of 180?
SSC CGL 04/06/2019 (Morning)
(a) 33 (b)18 (c)16 (d) 20
1
3
2
3
Q.45. The price of an article increases by
20% every year. If the difference between
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Pinnacle Day: 66th - 70th Percentage
the prices at the end of the third and
fourth years is Rs. 259.20, then 40% of
the price (In Rs.) at the end of the second
year is :
SSC CHSL 03/06/2019 (Evening)
(a) 484 (b) 432 (c) 384 (d) 472
Q.46. In an examination, Shreya scored
84 out of 90 in Mathematics, 45 out of 50
in Science, 23 out of 25 in Computer
Science and 68 out of 80 in English. In
which subject did Shreya score the
highest percentage?
SSC CPO 16/03/2019 (Afternoon)
(a) Mathematics (b) English
(c) Science (d) Computer Science
Q.47. The price of petrol was raised by
15%. By how much percentage should a
motorist reduce the consumption of
petrol so that the expenditure on it does
not increase?
SSC CPO 15 /03/2019 (Morning)
(a) 9 % (b) 15 %
2
11
3
13
(c) 13 % (d) 6 %
1
23
7
8
Q.48. A marketing agent earns a
commission of 2% on ?rst Rs. 2,00,000,
1.5% on next Rs 2,00,000 and 1% on the
remaining amount of sales made in a
month. If the sales achieved by the agent
for the month of April 2018 are Rs.
5,68,000. The commission earned is
SSC CPO 15/03/2019 (Morning)
(a) Rs.8680 (b) Rs.7730
(c) Rs.8240 (d) Rs.7105
Practice Questions
SSC CHSL 2023 Tier - 2
Q.49. The population of the city was
1,75,000 two years ago. If it had
increased by 4% and 5% in the last two
years, ?nd the present population of the
city.
SSC CHSL Tier II (02/11/2023)
(a) 1,89,200 (b) 1,92,100
(c) 1,93,200 (d) 1,91,100
Q.50. A number is increased by 25% and
then decreased by 16%, the ?nal value of
the number:
SSC CHSL Tier II (02/11/2023)
(a) decreases by 13%
(b) increases by 5%
(c) does not change
(d) decreases by 5%
Q.51. A dishonest shopkeeper sells rice
at a cost price but makes a 25% pro?t by
using faulty weights. He decides to give
a discount to attract more customers.
What percent of discount should he offer
to make 10% pro?t ?
SSC CHSL Tier II (02/11/2023)
(a) 11% (b) 12% (c) 10% (d) 9%
Q.52. In an election, a candidate who
gets 90% votes is elected by a margin of
800 votes. What is the total number of
votes polled?
Note: There are only two candidates
contesting the election and assume all
the votes were valid.
SSC CHSL Tier II (10/01/2024)
(a) 1050 (b) 950 (c) 1000 (d) 900
SSC CPO 2023 Tier - 1
Q.53. A man spends 72% of his salary
and saves ?5,740 per month. What is
10% of his annual salary (in ?)?
SSC CPO 03/10/2023 (1st Shift)
(a) ?21600 (b) ?24600
(c) ?28400 (d) ?20500
Q.54. In an election between two
candidates, 80% of the voters cast their
votes, out of which 5% votes were
declared invalid. A candidate got 9500
votes which were 80% of the valid votes.
Find the total number of voters enrolled
in that election.
SSC CPO 04/10/2023 (1st Shift)
(a) 14780 (b) 15625
(c) 16100 (d) 15100
Q.55. The fraction equivalent to % is:
1
5
SSC CPO 04/10/2023 (1st Shift)
(a) (b) (c) (d)
1
125
1
500
1
200
1
40
Q.56. In an election between two
candidates, 30% of the electorate did not
cast their votes. 20% of the votes polled
were found invalid. The winning
candidate got 64% of the valid votes and
won by a majority of 3136 votes. Find the
number of voters enrolled in the voter
list.
SSC CPO 04/10/2023 (3rd Shift)
(a) 24000 (b) 20000 (c) 25000 (d) 30000
Q.57. In an election between two
candidates, the difference between the
candidates who won and lost was 2,500
votes. The candidate who won got 75%
of the votes, and there were no invalid
votes. The total number of votes polled
of the losing candidate was:
SSC CPO 04/10/2023 (3rd Shift)
(a) 1875 (b) 1250 (c) 5000 (d) 3750
Q.58. In an election between two
candidates, 20% of the voters on the
voters list did not cast their votes and 80
voters cast their ballot papers blank. The
winner secured 45% of all the voters in
the list and he got 280 votes more than
his rival. The number of voters on the list
was:
SSC CPO 05/10/2023 (1st Shift)
(a) 2000 (b) 2800 (c) 2500 (d) 1500
Q.59. A family earns ?75,000, out of
which 10% is saved. 30% of the
expenditure is incurred on education,
while ?30,375 is spent on health and the
remaining amount is spent on food. What
is the percentage of food expenditure to
the total income?
SSC CPO 05/10/2023 (2nd Shift)
(a) 20% (b) 21.5% (c) 22.5% (d) 32.5%
Q.60. Three candidates contested an
election and won 1136, 7636 and 11628
votes, respectively. What percentage of
the total votes did the winning candidate
get ?
SSC CPO 05/10/2023 (2nd Shift)
(a) 57 (b) 45 (c) 33 (d) 49
SSC MTS 2023 Tier -1
Q.61. If the ?rst number is 20% less than
the third number and the ratio of the
second to the third number is 7 : 10, then
the average of the ?rst and the third
number is how much percent more than
the second number ?
SSC MTS 01/09/2023 (1st Shift)
(a) (b) (c) (d) 26
4
7
28
2
7
28
4
7
24
2
7
Q.62. A contractor reduces the working
time of a week (Monday to Saturday)
from 48 hours to 36 hours for his
workers without changing the payment.
What is the percentage increase in the
hourly rate?
SSC MTS 05/09/2023 (3rd Shift)
(a) 30 % (b) 33 %
1
3
1
3
(c) 67 % (d) 70 %
2
3
2
3
Q.63. If due to a 12% decrease in the
price of sugar, Akshat can buy 7 kg more
sugar for ?1,200, then ?nd the actual
price (in ?) of sugar. (Rounded off to 2
decimal places)
SSC MTS 12/09/2023 (2nd Shift)
(a) 23.38 (b) 28.25 (c) 25.79 (d) 26.35
Q.64. A family spends 20% of its monthly
income on house rent. Out of the
remaining amount, the family spends
50% on household expenditure and 20%
on children's education. If after doing so,
its monthly saving is ?6,600, then what is
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the total monthly income of the family?
SSC MTS 13/09/2023 (1st Shift)
(a) ?25,000 (b) ?27,500
(c) ?30,000 (d) ?28,000
Q.65. Suresh could save 20% of his
income. But 4 years later, when his
income increased by 40%, he could save
the same amount only as before. By how
much percentage did his expenditure
increase?
SSC MTS 14/09/2023 (2nd Shift)
(a) 23% (b) 50% (c) 22% (d) 45%
SSC CHSL 2023 Tier - 1
Q.66. Bhushan's monthly income is
?45,000 and his monthly expenditure is
?33,000. If his monthly income is
increased by 22% while monthly
expenditure is increased by 11%, then
what is his new monthly savings (in ?) ?
SSC CHSL 02/08/2023 (1st Shift)
(a) 18,270 (b) 18,690 (c) 18,000 (d) 19,000
Q.67 . If the price of a movie ticket
increased by % and the sale of 12
1
2
tickets also increased by %, then ?nd 8
1
2
% change in income.
SSC CHSL 02/08/2023 (2nd Shift)
(a) 21.875% (b) 22.6750%
(c) 20.675% (d) 22.0625%
Q.68. Two years ago, the population of a
small town was 60,000. It increased by
5% in the ?rst year, but due to the
pandemic. it decreased by 10% in the
second year. What is its present
population (after the end of 2 years) ?
SSC CHSL 02/08/2023 (4th Shift)
(a) 56,700 (b) 56,900
(c) 3300 (d) 55,700
Q.69. In a village election between three
candidates, 80% of the voters cast their
votes, out of which 3% votes were
declared invalid. The winning candidate
got 42,680 votes which were 55% of the
total valid votes. Find the number of valid
votes received by the candidate who
stood third, given that he received only
10% of the total valid votes.
SSC CHSL 03/08/2023 (1st Shift)
(a) 7760 (b) 7700 (c) 7670 (d) 7680
Q.70. A total of 7,50,000 voters
participated in an election. A candidate
received 3,82,500 votes which was 60%
of the total valid votes. What was the
percentage of invalid votes in the
election?
SSC CHSL 04/08/2023 (1st Shift)
(a) 15% (b) 20% (c) 12% (d) 18%
Q.71. If the length and breadth of a
cuboid are increased by 7% and 6%,
respectively, then the percentage
increase in its volume is :
SSC CHSL 04/08/2023 (1st Shift)
(a) 11.20% (b) 13.42%
(c) 18.12% (d) 15.25%
Q.72. Prakash spends 27% of his salary
on children's education and donates 4%
to a trust in a particular month. He
spends ?3,038 on these two heads, then
his total salary for that month is:
SSC CHSL 04/08/2023 (2nd Shift)
(a) ?4,402 (b) ?9,800
(c) ?11,251 (d) ?13,200
Q.73. A candidate who gets 20% of the
marks in an examination fails by 30
marks. But another candidate who gets
32%marks, gets 42 marks more than
necessary for passing. Find the
maximum number of marks.
SSC CHSL 04/08/2023 (3rd Shift)
(a) 500 (b) 700 (c) 400 (d) 600
Q.74. A man spent 30% of his monthly
income on rent. He spent 15% of the
remaining amount on food. 35% of the
amount now left was used for all other
expenses. If ?1,62,435 was left with him,
then his monthly income was:
SSC CHSL 04/08/2023 (4th Shift)
(a) ?4,80,000 (b) ?4,20,000
(c) ?3,60,000 (d) ?5,40,000
Q.75. If the curved surface area of a
cylinder is increased by 20%, and height
is decreased by 4%, then the net
decrease or increase in the volume will
be:
SSC CHSL 08/08/2023 (3rd Shift)
(a) 36 % decrease (b) 20 % increase
(c) 50 % increase (d) 33 % decrease
Q.76. Ravi initially had a certain number
of chocolates, while Bhanu initially had
80% of the number of chocolates that
Ravi initially had. Ravi gave 10% of his
chocolates to his sister while Bhanu
received from his uncle another 35% of
the number of chocolates he initially had.
If Bhanu ?nally had 54 chocolates, how
many chocolates did Ravi give to his
sister?
SSC CHSL 09/08/2023 (2nd Shift)
(a) 3 (b) 6 (c) 5 (d) 4
Q.77. If each side of a cube is decreased
by 12%, then the percentage decrease in
its surface area is:
SSC CHSL 10/08/2023 (2nd Shift)
(a) 25.66% (b) 28.23%
(c) 22.56% (d) 26.54%
Q.78. If four-?fths of ?ve-sixths of
one-eighth of a certain number is 4365,
what is 65% of the number?
SSC CHSL 11/08/2023 (1st Shift)
(a) 36,375 (b) 53,280
(c) 34,047 (d) 52,380
Q.79. In a show room, the ratio of TVs
and rice cookers is 2 : 3. Find the
percentage of rice cookers in the show
room.
SSC CHSL 14/08/2023 (1st Shift)
(a) 40% (b) 30% (c) 60% (d) 50%
Q.80. The radius of a circle is increased
by 20%. Find the percentage increase in
the circumference of the circle.
SSC CHSL 14/08/2023 (2nd Shift)
(a) 30% (b) 20% (c) 15% (d) 40%
Q.81. In an election, a candidate who got
73% of the votes is elected by a majority
of 1426 votes. If 20% of votes are invalid,
then what is the total number of votes
polled ?
SSC CHSL 14/08/2023 (2nd Shift)
(a) 1878 (b) 4824 (c) 2865 (d) 3875
Q.82. Rajat, Pooja and Abha participate
in the election. If the total votes polled
are 40,000 and 10% of votes are invalid,
Rajat got 36% of valid votes and Pooja
got 40% of valid votes, then ?nd the
number of votes Abha got.
SSC CHSL 14/08/2023 (3rd Shift)
(a) 9245 (b) 1024 (c) 8640 (d) 5760
Q.83. In an election between two
candidates, 85% of the electorate cast
their votes. 6% of the votes polled were
declared invalid. If the winning candidate
secured 60% of the valid votes, how
many votes did the winning candidate
receive if the number of eligible voters
was 10000 ?
SSC CHSL 17/08/2023 (1st Shift)
(a) 4784 (b) 4804 (c) 4794 (d) 4824
Q.84. 65% of Samita's income is equal to
91% of Bhairav's income. If Samita's
income was 1,500 more than what it is ?
and Bhairav's income was 500 more ?
than what it is, the ratio of the incomes
of Samita and Bhairav would have been 3
: 2. What is the actual combined income
(in ) of Samita and Bhairav? ?
SSC CHSL 17/08/2023 (3rd Shift)
(a) 18,500 (b) 17,500
(c) 20,000 (d) 18,000
SSC CGL 2023 Tier - 1
Q.85. If A is 95% of B, then what percent
of A is B ?
SSC CGL 14/07/2023 (1st shift)
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