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Page 1
61
Raju : Dada, I can see this sign % after 58 in the picture above. And it’s there also after
43 in the other picture. What does it show?
Dada : That is the sign for percentage. The word cent means hundred. We read 58% as
‘58 percent’.
Raju : Then, what does percentage mean?
Dada : In the first picture, there is 58% water in the dam. It means that if the dam holds
100 units of water when full, then right now it is holding 58 of the same units of
water. If the mobile phone has 100 units of charge when it is fully charged, then
at this moment 43 units of charge are still left. A percentage is a comparison made
with a total which is taken to be 100 parts.
Raju : If there is 50% water in the dam, can we say that the dam is half full?
Dada : Yes, 50% is 50 parts of water out of 100, and half of 100 is 50.
58% is 58 units out of 100 units. We can write this as the fraction
58
100
.
It means that
58
100
parts out of the full capacity of the dam are filled with water.
(1) Percentage in the Form of a Fraction
50% means 50 parts of a total of 100. So, 50 out of 100 or
50
100
=
1
2
part.
In other words, 50% is half of the whole.
12
Percentage
Use water carefully.
Water in the dam 58% of the capacity
58%
Let’s discuss.
Page 2
61
Raju : Dada, I can see this sign % after 58 in the picture above. And it’s there also after
43 in the other picture. What does it show?
Dada : That is the sign for percentage. The word cent means hundred. We read 58% as
‘58 percent’.
Raju : Then, what does percentage mean?
Dada : In the first picture, there is 58% water in the dam. It means that if the dam holds
100 units of water when full, then right now it is holding 58 of the same units of
water. If the mobile phone has 100 units of charge when it is fully charged, then
at this moment 43 units of charge are still left. A percentage is a comparison made
with a total which is taken to be 100 parts.
Raju : If there is 50% water in the dam, can we say that the dam is half full?
Dada : Yes, 50% is 50 parts of water out of 100, and half of 100 is 50.
58% is 58 units out of 100 units. We can write this as the fraction
58
100
.
It means that
58
100
parts out of the full capacity of the dam are filled with water.
(1) Percentage in the Form of a Fraction
50% means 50 parts of a total of 100. So, 50 out of 100 or
50
100
=
1
2
part.
In other words, 50% is half of the whole.
12
Percentage
Use water carefully.
Water in the dam 58% of the capacity
58%
Let’s discuss.
62
25% means 25 parts out of 100. And
25
100
=
1
4
part of the whole (or total).
35% means 35 parts out of 100. And
35
100
=
7
20
part of the whole.
(2) A Fraction in the Form of a Percentage
3
4
=
325
425
×
×
=
75
100
3
4
part of the total is
75
100
or 75%.
2
5
=
220
520
×
×
=
40
100
2
5
part of the total is
40
100
or 40%.
Equivalent fractions can be used to make the denominator 100.
Example : Last year Giripremi group planted 75 trees. Of these, 48 trees flourished. The
Karmavir group planted 50 trees, of which, 35 flourished. Which group was
more successful in conserving the trees they had planted?
The number of trees each group started with is different. Hence, we have to
compare the surviving trees in each group to the number of trees planted by
them. For this comparison, it would be useful to find out for each group, the
percentage of their trees that survived. To do that, let us find the ratio of the
number of surviving trees to the total trees planted.
Suppose the surviving trees of the the Giripremi group are A%.
Suppose the surviving trees of the the Karmavir group are B%.
The Giripremi’s ratio of the surviving trees to planted trees is
A
100
and also
48
75
. Therefore,
A
100
=
48
75
. In the same way, we can also find the ratio of
surviving trees to planted trees for the Karmavir group.
Let us write the same ratio in two forms, obtain equations and solve them.
A
100
=
48
75
B
100
=
35
50
A
100
× 100 =
48
75
× 100
B
100
× 100 =
35
50
× 100
A = 64 B = 70
? The Karmavir group was more successful in conserving the trees they had planted.
Now I know -
Page 3
61
Raju : Dada, I can see this sign % after 58 in the picture above. And it’s there also after
43 in the other picture. What does it show?
Dada : That is the sign for percentage. The word cent means hundred. We read 58% as
‘58 percent’.
Raju : Then, what does percentage mean?
Dada : In the first picture, there is 58% water in the dam. It means that if the dam holds
100 units of water when full, then right now it is holding 58 of the same units of
water. If the mobile phone has 100 units of charge when it is fully charged, then
at this moment 43 units of charge are still left. A percentage is a comparison made
with a total which is taken to be 100 parts.
Raju : If there is 50% water in the dam, can we say that the dam is half full?
Dada : Yes, 50% is 50 parts of water out of 100, and half of 100 is 50.
58% is 58 units out of 100 units. We can write this as the fraction
58
100
.
It means that
58
100
parts out of the full capacity of the dam are filled with water.
(1) Percentage in the Form of a Fraction
50% means 50 parts of a total of 100. So, 50 out of 100 or
50
100
=
1
2
part.
In other words, 50% is half of the whole.
12
Percentage
Use water carefully.
Water in the dam 58% of the capacity
58%
Let’s discuss.
62
25% means 25 parts out of 100. And
25
100
=
1
4
part of the whole (or total).
35% means 35 parts out of 100. And
35
100
=
7
20
part of the whole.
(2) A Fraction in the Form of a Percentage
3
4
=
325
425
×
×
=
75
100
3
4
part of the total is
75
100
or 75%.
2
5
=
220
520
×
×
=
40
100
2
5
part of the total is
40
100
or 40%.
Equivalent fractions can be used to make the denominator 100.
Example : Last year Giripremi group planted 75 trees. Of these, 48 trees flourished. The
Karmavir group planted 50 trees, of which, 35 flourished. Which group was
more successful in conserving the trees they had planted?
The number of trees each group started with is different. Hence, we have to
compare the surviving trees in each group to the number of trees planted by
them. For this comparison, it would be useful to find out for each group, the
percentage of their trees that survived. To do that, let us find the ratio of the
number of surviving trees to the total trees planted.
Suppose the surviving trees of the the Giripremi group are A%.
Suppose the surviving trees of the the Karmavir group are B%.
The Giripremi’s ratio of the surviving trees to planted trees is
A
100
and also
48
75
. Therefore,
A
100
=
48
75
. In the same way, we can also find the ratio of
surviving trees to planted trees for the Karmavir group.
Let us write the same ratio in two forms, obtain equations and solve them.
A
100
=
48
75
B
100
=
35
50
A
100
× 100 =
48
75
× 100
B
100
× 100 =
35
50
× 100
A = 64 B = 70
? The Karmavir group was more successful in conserving the trees they had planted.
Now I know -
63
Example : In Khatav taluka, it was decided to make 200 ponds in Warudgaon and 300
ponds in Jakhangaon. Of these, 120 ponds in Warudgaon were completed at
the end of May, while in Jakhangaon work was complete on 165 ponds. In
which village was a greater proportion of the work completed?
To find the answer, we shall find the percentage of work completed in each
village and then make a comparison.
Let the number of ponds completed in Warudgaon be A% and in Jakhangaon,
B%. We shall find the ratio of the number of ponds completed to the number
of ponds planned in each case. We then write those ratios in two forms, obtain
equations and solve them.
A
100
=
120
200
B
100
=
165
300
A
100
× 100 =
120
200
× 100
B
100
× 100 =
165
300
× 100
A = 60 B = 55
? A greater proportion of the work was completed in Warudgaon.
Example : For summative evaluation in a
certain school, 720 of the 1200
children were awarded A grade
in Maths. What is the percentage
of students getting A grade?
Suppose the students getting A
grade are A%.
Let us write in two forms, the
ratio of the number of students
getting A grade to the total
number of students, obtain an
equation and solve it.
A
100
=
720
1200
?
A
100
× 100 =
720
1200
× 100
? A = 60
? 60% students got A grade.
Example : A certain Organization adopted
18% of the 400 schools in a
district. How many schools did it
adopt ?
Let us write in two forms, the
ratio of the number of schools
adopted to the total number of
schools in the district, obtain an
equation and solve it.
Here, 18% means 18 schools
adopted out of a total of 100.
Total number of schools is 400.
Suppose the number of schools
adopted is A.
A
400
=
18
100
?
A
400
× 400 =
18
100
× 400
?
A = 72
? The number of schools adopted is 72.
Page 4
61
Raju : Dada, I can see this sign % after 58 in the picture above. And it’s there also after
43 in the other picture. What does it show?
Dada : That is the sign for percentage. The word cent means hundred. We read 58% as
‘58 percent’.
Raju : Then, what does percentage mean?
Dada : In the first picture, there is 58% water in the dam. It means that if the dam holds
100 units of water when full, then right now it is holding 58 of the same units of
water. If the mobile phone has 100 units of charge when it is fully charged, then
at this moment 43 units of charge are still left. A percentage is a comparison made
with a total which is taken to be 100 parts.
Raju : If there is 50% water in the dam, can we say that the dam is half full?
Dada : Yes, 50% is 50 parts of water out of 100, and half of 100 is 50.
58% is 58 units out of 100 units. We can write this as the fraction
58
100
.
It means that
58
100
parts out of the full capacity of the dam are filled with water.
(1) Percentage in the Form of a Fraction
50% means 50 parts of a total of 100. So, 50 out of 100 or
50
100
=
1
2
part.
In other words, 50% is half of the whole.
12
Percentage
Use water carefully.
Water in the dam 58% of the capacity
58%
Let’s discuss.
62
25% means 25 parts out of 100. And
25
100
=
1
4
part of the whole (or total).
35% means 35 parts out of 100. And
35
100
=
7
20
part of the whole.
(2) A Fraction in the Form of a Percentage
3
4
=
325
425
×
×
=
75
100
3
4
part of the total is
75
100
or 75%.
2
5
=
220
520
×
×
=
40
100
2
5
part of the total is
40
100
or 40%.
Equivalent fractions can be used to make the denominator 100.
Example : Last year Giripremi group planted 75 trees. Of these, 48 trees flourished. The
Karmavir group planted 50 trees, of which, 35 flourished. Which group was
more successful in conserving the trees they had planted?
The number of trees each group started with is different. Hence, we have to
compare the surviving trees in each group to the number of trees planted by
them. For this comparison, it would be useful to find out for each group, the
percentage of their trees that survived. To do that, let us find the ratio of the
number of surviving trees to the total trees planted.
Suppose the surviving trees of the the Giripremi group are A%.
Suppose the surviving trees of the the Karmavir group are B%.
The Giripremi’s ratio of the surviving trees to planted trees is
A
100
and also
48
75
. Therefore,
A
100
=
48
75
. In the same way, we can also find the ratio of
surviving trees to planted trees for the Karmavir group.
Let us write the same ratio in two forms, obtain equations and solve them.
A
100
=
48
75
B
100
=
35
50
A
100
× 100 =
48
75
× 100
B
100
× 100 =
35
50
× 100
A = 64 B = 70
? The Karmavir group was more successful in conserving the trees they had planted.
Now I know -
63
Example : In Khatav taluka, it was decided to make 200 ponds in Warudgaon and 300
ponds in Jakhangaon. Of these, 120 ponds in Warudgaon were completed at
the end of May, while in Jakhangaon work was complete on 165 ponds. In
which village was a greater proportion of the work completed?
To find the answer, we shall find the percentage of work completed in each
village and then make a comparison.
Let the number of ponds completed in Warudgaon be A% and in Jakhangaon,
B%. We shall find the ratio of the number of ponds completed to the number
of ponds planned in each case. We then write those ratios in two forms, obtain
equations and solve them.
A
100
=
120
200
B
100
=
165
300
A
100
× 100 =
120
200
× 100
B
100
× 100 =
165
300
× 100
A = 60 B = 55
? A greater proportion of the work was completed in Warudgaon.
Example : For summative evaluation in a
certain school, 720 of the 1200
children were awarded A grade
in Maths. What is the percentage
of students getting A grade?
Suppose the students getting A
grade are A%.
Let us write in two forms, the
ratio of the number of students
getting A grade to the total
number of students, obtain an
equation and solve it.
A
100
=
720
1200
?
A
100
× 100 =
720
1200
× 100
? A = 60
? 60% students got A grade.
Example : A certain Organization adopted
18% of the 400 schools in a
district. How many schools did it
adopt ?
Let us write in two forms, the
ratio of the number of schools
adopted to the total number of
schools in the district, obtain an
equation and solve it.
Here, 18% means 18 schools
adopted out of a total of 100.
Total number of schools is 400.
Suppose the number of schools
adopted is A.
A
400
=
18
100
?
A
400
× 400 =
18
100
× 400
?
A = 72
? The number of schools adopted is 72.
64
?? Solve the following.
(1) Shabana scored 736 marks out of 800 in her exams. What was the percentage
she scored?
(2) There are 500 students in the school in Dahihanda village. If 350 of them can
swim, what percent of them can swim and what percent cannot?
(3) If Prakash sowed jowar on 75% of the 19500 sq m of his land, on how many
sq m did he actually plant jowar?
(4) Soham received 40 messages on his birthday. Of these, 90% were birthday
greetings. How many other messages did he get besides the greetings?
(5) Of the 5675 people in a village 5448 are literate. What is the percentage of literacy
in the village?
(6) In the elections, 1080 of the 1200 women in Jambhulgaon cast their vote, while
1360 of the 1700 in Wadgaon cast theirs. In which village did a greater proportion
of women cast their votes?
?????? Practice Set 30
Maths is fun!
There are 9 squares in the figure above. The letters A B C D E F G H I are written
in the squares. Give each of the letters a unique number from 1 to 9 so that every
letter has a different number.
Besides, A + B + C = C + D + E = E + F + G = G + H + I should also be true.
A B C
D
E F
I
H
G
Read More
|
30 videos|112 docs|15 tests
|
FAQs on Textbook: Percentage - Mathematics Class 6 (Maharashtra Board)
| 1. What is a percentage and how is it used in everyday life? |  |
Ans. A percentage is a way of expressing a number as a fraction of 100. It is often used to compare values, find discounts, calculate grades, and understand statistics. For example, if you score 45 out of 50 on a test, you can express your score as a percentage by calculating (45/50) * 100, which equals 90%. This shows that you scored 90% on your test.
| 2. How do you calculate a percentage of a number? | |
Ans. To calculate a percentage of a number, you multiply the number by the percentage expressed as a decimal. For instance, to find 20% of 150, you convert 20% to a decimal (0.20) and then multiply: 150 * 0.20 = 30. Therefore, 20% of 150 is 30.
| 3. What is the difference between a percentage increase and a percentage decrease? | |
Ans. A percentage increase refers to the amount an original value has grown, expressed as a percentage of that original value. For example, if a shirt costs $50 and is marked up to $60, the percentage increase is [(60 - 50) / 50] * 100 = 20%. Conversely, a percentage decrease shows how much a value has reduced compared to the original. If the shirt is then sold for $40, the percentage decrease is [(50 - 40) / 50] * 100 = 20%.
| 4. How can percentages be used to calculate discounts during sales? | |
Ans. Percentages are commonly used to express discounts. To calculate a discount, you first find the percentage of the original price and then subtract that amount from the original price. For example, if a pair of shoes costs $80 and there is a 25% discount, you would calculate the discount amount as (25/100) * 80 = $20. Thus, the sale price would be $80 - $20 = $60.
| 5. Why is understanding percentages important for students? | |
Ans. Understanding percentages is crucial for students because it helps them make informed decisions in various aspects of life, such as finance, shopping, and academics. Percentages are used in calculating grades, understanding interest rates, analyzing data, and interpreting results in surveys. A strong grasp of percentages enables students to solve real-life problems effectively.
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Sep 23, 2025
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