Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > RS Aggarwal Solutions: Exercise 10D - Profit & Loss
RS Aggarwal Solutions: Exercise 10D - Profit & Loss | Mathematics (Maths) Class 8 PDF Download
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Page 1
?
?
( ) ( ) ( )
Page 2
?
?
( ) ( ) ( )
c 33
1
3
%SP = Rs 100Gain = Rs (100 -75) = Rs 25 ? Gain percentage =
gain
CP
×100 % =
25
75
×100 % = 33
1
3
%
Question:61
Tick
? the correct answer:
A bat is bought for Rs 120 and sold for Rs 105. The loss per cent is
a
15%
b
12
1
2
%
c
16
2
3
%
d
14
1
5
%
Solution:
b 12
1
2
%CP = Rs 120SP = Rs 105Loss = Rs (120 -105) = Rs 15 ? Loss percentage =
loss
CP
×100 =
15
120
×100 = 12
1
2
%
Question:62
Tick
? the correct answer:
A bookseller sells a book for Rs 100, gaining Rs 20. His gain per cent is
a
20%
b
25%
c
22%
d
none of these
Solution:
b 25 %CP = SP -Gain = Rs (100 -20) = Rs 80 ? Gain percentage =
gain
CP
×100 % =
20
80
×100 % = 25 %
Question:63
On selling an article for Rs 48, a shopkeeper loses 20%. In order to gain 20%, what would be the selling price?
a
Rs 52
b
Rs 56
c
Rs 68
d
Rs 72
Solution:
d Rs 72SP = Rs 48Loss = 20 %Now, CP =
100
100-loss%
×SP = Rs
100
(100-loss%)
×SP = Rs
100
(100-20)
×48 = Rs
100
80
×48 = Rs 60
? Desired SP =
(100+gain%)
100
×CP
=
(100+20)
100
×60 = Rs
12
10
×60 = Rs 72
Question:64
Tick
? the correct answer:
On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain per cent is
a
20%
b
100%
c
120%
d
140%
Solution:
c
120%
Let the SP and CP of the article be Rs x and y, respectively.
Gain percentage = 10%
? 10 =
x-y
y
×100
? y =
10x
11
According to the question, we have:
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( ) ( )
{ }
{ } ( )
Page 3
?
?
( ) ( ) ( )
c 33
1
3
%SP = Rs 100Gain = Rs (100 -75) = Rs 25 ? Gain percentage =
gain
CP
×100 % =
25
75
×100 % = 33
1
3
%
Question:61
Tick
? the correct answer:
A bat is bought for Rs 120 and sold for Rs 105. The loss per cent is
a
15%
b
12
1
2
%
c
16
2
3
%
d
14
1
5
%
Solution:
b 12
1
2
%CP = Rs 120SP = Rs 105Loss = Rs (120 -105) = Rs 15 ? Loss percentage =
loss
CP
×100 =
15
120
×100 = 12
1
2
%
Question:62
Tick
? the correct answer:
A bookseller sells a book for Rs 100, gaining Rs 20. His gain per cent is
a
20%
b
25%
c
22%
d
none of these
Solution:
b 25 %CP = SP -Gain = Rs (100 -20) = Rs 80 ? Gain percentage =
gain
CP
×100 % =
20
80
×100 % = 25 %
Question:63
On selling an article for Rs 48, a shopkeeper loses 20%. In order to gain 20%, what would be the selling price?
a
Rs 52
b
Rs 56
c
Rs 68
d
Rs 72
Solution:
d Rs 72SP = Rs 48Loss = 20 %Now, CP =
100
100-loss%
×SP = Rs
100
(100-loss%)
×SP = Rs
100
(100-20)
×48 = Rs
100
80
×48 = Rs 60
? Desired SP =
(100+gain%)
100
×CP
=
(100+20)
100
×60 = Rs
12
10
×60 = Rs 72
Question:64
Tick
? the correct answer:
On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain per cent is
a
20%
b
100%
c
120%
d
140%
Solution:
c
120%
Let the SP and CP of the article be Rs x and y, respectively.
Gain percentage = 10%
? 10 =
x-y
y
×100
? y =
10x
11
According to the question, we have:
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( ) ( )
{ }
{ } ( )
SP = Rs 2x
? Gain percentage =
gain
CP
×100
=
2x-
10x
11
10x
11
×100 =
12
10
×100 = 120 %
Question:65
Tick
? the correct answer:
Bananas are bought at 3 for Rs 2 and sold at 2 for Rs 3. The gain per cent is
a
25%
b
50%
c
75%
d
125%
Solution:
d
125%
Cost price of a banana = Rs
2
3
Selling price of a banana = Rs
3
2
Now, profit = Rs
3
2
-
2
3
= Rs
9-4
6
= Rs
5
6
? Gain percentage =
gain
CP
×100 =
5
6
2
3
×100 =
5
6
×
3
2
×100 =
5
4
×100 = 5 ×25 = 125 %
Question:66
Tick
? the correct answer:
If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is
a
2%
b
12%
c
20%
d
25%
Solution:
c
20%
Let Rs x be the SP of each pen. SP of 10 pens = CP of 12 pens = Rs 12xCP of 10 pens = Rs 10xNow, gain = Rs (12x -10x) = Rs 2x ? Gain percentage =
gain
CP
×100 %
=
2x
10x
×100 % = 20 %
Question:67
Tick
? the correct answer:
On selling 100 pencils a man gains the selling price of 20 pencils. His gain per cent is
a
20%
b
25%
c
22
1
2
%
d
16
2
3
%
Solution:
b
25%
Let the SP of 100 pens be Rs x. SP of 1 pen = Rs
x
100
Profit = Rs
20x
100
= Rs
x
5
Now, CP = x -
x
5
=
4x
5
? Gain percentage =
x
5
4x
5
×100 = 25 %
Question:68
Tick
? the correct answer:
Ravi buys some toffees at 5 for a rupee and sells them at 2 for a rupee. His gain per cent is
a
30%
b
40%
c
50%
d
150%
( )
( )
( )
( )
( )
Page 4
?
?
( ) ( ) ( )
c 33
1
3
%SP = Rs 100Gain = Rs (100 -75) = Rs 25 ? Gain percentage =
gain
CP
×100 % =
25
75
×100 % = 33
1
3
%
Question:61
Tick
? the correct answer:
A bat is bought for Rs 120 and sold for Rs 105. The loss per cent is
a
15%
b
12
1
2
%
c
16
2
3
%
d
14
1
5
%
Solution:
b 12
1
2
%CP = Rs 120SP = Rs 105Loss = Rs (120 -105) = Rs 15 ? Loss percentage =
loss
CP
×100 =
15
120
×100 = 12
1
2
%
Question:62
Tick
? the correct answer:
A bookseller sells a book for Rs 100, gaining Rs 20. His gain per cent is
a
20%
b
25%
c
22%
d
none of these
Solution:
b 25 %CP = SP -Gain = Rs (100 -20) = Rs 80 ? Gain percentage =
gain
CP
×100 % =
20
80
×100 % = 25 %
Question:63
On selling an article for Rs 48, a shopkeeper loses 20%. In order to gain 20%, what would be the selling price?
a
Rs 52
b
Rs 56
c
Rs 68
d
Rs 72
Solution:
d Rs 72SP = Rs 48Loss = 20 %Now, CP =
100
100-loss%
×SP = Rs
100
(100-loss%)
×SP = Rs
100
(100-20)
×48 = Rs
100
80
×48 = Rs 60
? Desired SP =
(100+gain%)
100
×CP
=
(100+20)
100
×60 = Rs
12
10
×60 = Rs 72
Question:64
Tick
? the correct answer:
On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain per cent is
a
20%
b
100%
c
120%
d
140%
Solution:
c
120%
Let the SP and CP of the article be Rs x and y, respectively.
Gain percentage = 10%
? 10 =
x-y
y
×100
? y =
10x
11
According to the question, we have:
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( ) ( )
{ }
{ } ( )
SP = Rs 2x
? Gain percentage =
gain
CP
×100
=
2x-
10x
11
10x
11
×100 =
12
10
×100 = 120 %
Question:65
Tick
? the correct answer:
Bananas are bought at 3 for Rs 2 and sold at 2 for Rs 3. The gain per cent is
a
25%
b
50%
c
75%
d
125%
Solution:
d
125%
Cost price of a banana = Rs
2
3
Selling price of a banana = Rs
3
2
Now, profit = Rs
3
2
-
2
3
= Rs
9-4
6
= Rs
5
6
? Gain percentage =
gain
CP
×100 =
5
6
2
3
×100 =
5
6
×
3
2
×100 =
5
4
×100 = 5 ×25 = 125 %
Question:66
Tick
? the correct answer:
If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is
a
2%
b
12%
c
20%
d
25%
Solution:
c
20%
Let Rs x be the SP of each pen. SP of 10 pens = CP of 12 pens = Rs 12xCP of 10 pens = Rs 10xNow, gain = Rs (12x -10x) = Rs 2x ? Gain percentage =
gain
CP
×100 %
=
2x
10x
×100 % = 20 %
Question:67
Tick
? the correct answer:
On selling 100 pencils a man gains the selling price of 20 pencils. His gain per cent is
a
20%
b
25%
c
22
1
2
%
d
16
2
3
%
Solution:
b
25%
Let the SP of 100 pens be Rs x. SP of 1 pen = Rs
x
100
Profit = Rs
20x
100
= Rs
x
5
Now, CP = x -
x
5
=
4x
5
? Gain percentage =
x
5
4x
5
×100 = 25 %
Question:68
Tick
? the correct answer:
Ravi buys some toffees at 5 for a rupee and sells them at 2 for a rupee. His gain per cent is
a
30%
b
40%
c
50%
d
150%
( )
( )
( )
( )
( )
Solution:
d
150%
?
L. C. M of 5 and 2 = (5 ×1 ×2) = 10Let 10 be the number of toffees bought. CP of 5 toffees = Rs 1 CP of 1 toffee = Rs
1
5
? CP of 10 toffees = Rs
1
5
×10 = Rs 2SP of 2 toffees
= Rs. 5
Gain = Rs (5 -2) = Rs 3Gain percentage =
gain
CP
×100 % =
3
2
×100 % = 150 %
Question:69
Tick
? the correct answer:
Oranges are bought at 5 for Rs 10 and sold at 6 for Rs 15. His gain per cent is
a
50%
b
40%
c
35%
d
25%
Solution:
d
25%
? L. C. M of 5 and 6 = (5 ×1 ×6) = 30Let 30 be the number of oranges bought. CP of 5 oranges = Rs 10CP of 1 oranges = Rs
10
5
= Rs 2 ? CP of 30 oranges = Rs (2 ×30)
= Rs 75
Now, gain = Rs (75 -60) = Rs 15 ? Gain percentage =
gain
CP
×100 % =
15
60
×100 % = 25 %
Question:70
Tick
? the correct answer:
By selling a radio for Rs 950, a man loses 5%. What per cent shall he gain by selling it for Rs 1040?
a
4%
b
4.5%
c
5%
d
9%
Solution:
a
4%
SP of the radio = Rs 950Loss = 5 %CP =
100
(100-loss)
×SP = Rs
100
(100-5)
×950 = Rs
100
95
×950 = Rs 1000
Now, gain = Rs (1040 -1000) = Rs 40 ? Gain percentage =
gain
CP
×100 % =
40
1000
×100 % = 4 %
Question:71
Tick
? the correct answer:
The selling price of an article is
6
5
of the cost price. The gain per cent is
a
20%
b
25%
c
30%
d
120%
Solution:
a
20%
Let Rs x be the CP of each article. SP of an article = Rs
6
5
xNow, gain = (SP -CP) = Rs
6
5
x -x = Rs
x
5
? Gain percentage =
gain
CP
×100 % =
x
5
x
×100 % =
x
5
×
1
x
×
( ) ( )
( ) ( )
( )
( ) ( )
{ } { } ( )
( ) ( )
( ) ( )
( )
( ( )
Page 5
?
?
( ) ( ) ( )
c 33
1
3
%SP = Rs 100Gain = Rs (100 -75) = Rs 25 ? Gain percentage =
gain
CP
×100 % =
25
75
×100 % = 33
1
3
%
Question:61
Tick
? the correct answer:
A bat is bought for Rs 120 and sold for Rs 105. The loss per cent is
a
15%
b
12
1
2
%
c
16
2
3
%
d
14
1
5
%
Solution:
b 12
1
2
%CP = Rs 120SP = Rs 105Loss = Rs (120 -105) = Rs 15 ? Loss percentage =
loss
CP
×100 =
15
120
×100 = 12
1
2
%
Question:62
Tick
? the correct answer:
A bookseller sells a book for Rs 100, gaining Rs 20. His gain per cent is
a
20%
b
25%
c
22%
d
none of these
Solution:
b 25 %CP = SP -Gain = Rs (100 -20) = Rs 80 ? Gain percentage =
gain
CP
×100 % =
20
80
×100 % = 25 %
Question:63
On selling an article for Rs 48, a shopkeeper loses 20%. In order to gain 20%, what would be the selling price?
a
Rs 52
b
Rs 56
c
Rs 68
d
Rs 72
Solution:
d Rs 72SP = Rs 48Loss = 20 %Now, CP =
100
100-loss%
×SP = Rs
100
(100-loss%)
×SP = Rs
100
(100-20)
×48 = Rs
100
80
×48 = Rs 60
? Desired SP =
(100+gain%)
100
×CP
=
(100+20)
100
×60 = Rs
12
10
×60 = Rs 72
Question:64
Tick
? the correct answer:
On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain per cent is
a
20%
b
100%
c
120%
d
140%
Solution:
c
120%
Let the SP and CP of the article be Rs x and y, respectively.
Gain percentage = 10%
? 10 =
x-y
y
×100
? y =
10x
11
According to the question, we have:
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( ) ( )
{ }
{ } ( )
SP = Rs 2x
? Gain percentage =
gain
CP
×100
=
2x-
10x
11
10x
11
×100 =
12
10
×100 = 120 %
Question:65
Tick
? the correct answer:
Bananas are bought at 3 for Rs 2 and sold at 2 for Rs 3. The gain per cent is
a
25%
b
50%
c
75%
d
125%
Solution:
d
125%
Cost price of a banana = Rs
2
3
Selling price of a banana = Rs
3
2
Now, profit = Rs
3
2
-
2
3
= Rs
9-4
6
= Rs
5
6
? Gain percentage =
gain
CP
×100 =
5
6
2
3
×100 =
5
6
×
3
2
×100 =
5
4
×100 = 5 ×25 = 125 %
Question:66
Tick
? the correct answer:
If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is
a
2%
b
12%
c
20%
d
25%
Solution:
c
20%
Let Rs x be the SP of each pen. SP of 10 pens = CP of 12 pens = Rs 12xCP of 10 pens = Rs 10xNow, gain = Rs (12x -10x) = Rs 2x ? Gain percentage =
gain
CP
×100 %
=
2x
10x
×100 % = 20 %
Question:67
Tick
? the correct answer:
On selling 100 pencils a man gains the selling price of 20 pencils. His gain per cent is
a
20%
b
25%
c
22
1
2
%
d
16
2
3
%
Solution:
b
25%
Let the SP of 100 pens be Rs x. SP of 1 pen = Rs
x
100
Profit = Rs
20x
100
= Rs
x
5
Now, CP = x -
x
5
=
4x
5
? Gain percentage =
x
5
4x
5
×100 = 25 %
Question:68
Tick
? the correct answer:
Ravi buys some toffees at 5 for a rupee and sells them at 2 for a rupee. His gain per cent is
a
30%
b
40%
c
50%
d
150%
( )
( )
( )
( )
( )
Solution:
d
150%
?
L. C. M of 5 and 2 = (5 ×1 ×2) = 10Let 10 be the number of toffees bought. CP of 5 toffees = Rs 1 CP of 1 toffee = Rs
1
5
? CP of 10 toffees = Rs
1
5
×10 = Rs 2SP of 2 toffees
= Rs. 5
Gain = Rs (5 -2) = Rs 3Gain percentage =
gain
CP
×100 % =
3
2
×100 % = 150 %
Question:69
Tick
? the correct answer:
Oranges are bought at 5 for Rs 10 and sold at 6 for Rs 15. His gain per cent is
a
50%
b
40%
c
35%
d
25%
Solution:
d
25%
? L. C. M of 5 and 6 = (5 ×1 ×6) = 30Let 30 be the number of oranges bought. CP of 5 oranges = Rs 10CP of 1 oranges = Rs
10
5
= Rs 2 ? CP of 30 oranges = Rs (2 ×30)
= Rs 75
Now, gain = Rs (75 -60) = Rs 15 ? Gain percentage =
gain
CP
×100 % =
15
60
×100 % = 25 %
Question:70
Tick
? the correct answer:
By selling a radio for Rs 950, a man loses 5%. What per cent shall he gain by selling it for Rs 1040?
a
4%
b
4.5%
c
5%
d
9%
Solution:
a
4%
SP of the radio = Rs 950Loss = 5 %CP =
100
(100-loss)
×SP = Rs
100
(100-5)
×950 = Rs
100
95
×950 = Rs 1000
Now, gain = Rs (1040 -1000) = Rs 40 ? Gain percentage =
gain
CP
×100 % =
40
1000
×100 % = 4 %
Question:71
Tick
? the correct answer:
The selling price of an article is
6
5
of the cost price. The gain per cent is
a
20%
b
25%
c
30%
d
120%
Solution:
a
20%
Let Rs x be the CP of each article. SP of an article = Rs
6
5
xNow, gain = (SP -CP) = Rs
6
5
x -x = Rs
x
5
? Gain percentage =
gain
CP
×100 % =
x
5
x
×100 % =
x
5
×
1
x
×
( ) ( )
( ) ( )
( )
( ) ( )
{ } { } ( )
( ) ( )
( ) ( )
( )
( ( )
Question:72
Tick
? the correct answer:
On selling a chair for Rs 720, a man loses 25%. To gain 25% it must be sold for
a
Rs 900
b
Rs 1200
c
Rs 1080
d
Rs 1440
Solution:
? b
Rs.1200
SP = Rs 720Loss percentage = 25 %CP =
100
(100-loss%)
×SP = Rs
100
(100-25)
×SP = Rs
100
85
×720 = Rs 960 ? Desired SP =
(100+gain%)
100
×CP
= Rs.
(100+25)
100
×960 = Rs.
125
100
×960 = Rs. 1200
Question:73
Tick
? the correct answer:
The ratio of cost price and selling price of an article is 20 : 21. What is the gain per cent on it?
a
5%
b
5
1
2
%
c
6%
d
6
1
4
%
Solution:
a
5%
CP = Rs. 20xSP = Rs. 21xGain = Rs. (21 -20) = Rs. x ? Gain percentage =
gain
CP
×100 % =
x
20x
×100 % = 5 %
Question:74
Tick
? the correct answer:
A man sold two chairs for Rs 500 each. On one he gains 20% and on the other he loses 12%. His net gain or loss per cent is
a
1.5% gain
b
2% gain
c
1.5% loss
d
2% loss
Solution:
a
1.5% gain
? SP of the first chair = Rs 500Gain percentage = 20 % ? CP of the first chair =
100
(100+gain%)
×SP
= Rs.
100
(100+20)
×500 = Rs.
100
120
×500 = Rs. 416. 67
SP of the second chair = Rs. 500Loss percentage = 12 % ? CP of the second chair =
100
(100-loss%)
×SP
= Rs.
100
(100-12)
×500 = Rs.
100
88
×500 = Rs. 568. 18
Total CP of the two chairs = Rs. (416. 67 +568. 18)
= Rs. 984. 85
Total SP of the two chairs = Rs. (500 ×2)
= Rs. 1000
Since SP > CP, there is a gain in the whole transaction. Now, gain = Rs. (1000 -984. 85) = Rs. 15. 15 ? Gain percentage =
gain
CP
×100 % =
15.15
984.85
×100 % = 1. 5 %
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{ } ( )
( ) ( )
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Dec 31, 2024 Last updated |
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,RS Aggarwal Solutions: Exercise 10D - Profit & Loss | Mathematics (Maths) Class 8
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Additional Information about RS Aggarwal Solutions: Exercise 10D - Profit & Loss for Class 8 Preparation
RS Aggarwal Solutions: Exercise 10D - Profit & Loss Free PDF Download
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RS Aggarwal Solutions: Exercise 10D - Profit & Loss Notes
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RS Aggarwal Solutions: Exercise 10D - Profit & Loss Class 8 Questions
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