**ML Aggarwal Solutions for Class 7 Maths Chapter 7 Percentage and Its Applications** are available here. To cover the entire syllabus in Maths, the ML Aggarwal solutions is an essential study material as it offers a wide range of questions that test students’ understanding of concepts. Students can gain a thorough knowledge of the concepts by referring to ML Aggarwal Solutions for Class 7 Maths.

Chapter 7 – Percentage and Its Applications are available for download in PDF for free. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the per cent sign, “%”. Suppose a student obtains 90 marks out of 100 in Maths; we can say that he has obtained 90 per cent marks in Maths. Topics covered in this ML Aggarwal Solutions for Class 7 Maths Chapter 7 include converting a fraction into a percentage, converting a percentage into a fraction, percentage as a ratio, and converting a given ratio into a percentage.

## ML Aggarwal Solutions for Class 7 Maths Chapter 7 Percentage and Its Applications

### Access Answers to ML Aggarwal Solutions for Class 7 Maths Chapter 7 Percentage and Its Applications

**1. Convert the following percents into fractions in simplest form:**

**(i) 25%**

**Solution:-**

25% can be written in the form of fraction as = 25/100

= ¼

(ii) 150%

**Solution:-**

150% can be written in the form of fraction as = 150/100

= 15/10

= 3/2

(iii) 7½%

**Solution:-**

First, convert the mixed fraction into an improper fraction,

7½% = (15/2)%

Then, (15/2)% can be written in the form of fraction as = (15/2)/100

= (15/(2 x 100))

= 15/200

= 3/40

(iv)

** %**

**Solution:-**

First, convert the mixed fraction into an improper fraction,

** % **= (100/3)%

Then, (100/3)% can be written in the form of fraction as = (100/3)/100

= (100/(3 x 100))

= 1/3

**(2) Convert the following fractions into percents:
(i) 1/8**

**Solution:-**

1/8 can be converted into per cent as,

= (1/8)/100

= (1/8) x 100

= 12.5%

(ii) 5/4

**Solution:-**

5/4 can be converted into per cent as,

= (5/4)/100

= (5/4) x 100

= 5 x 25

= 125%

(iii) 9/16

**Solution:-**

9/16 can be converted into per cent as,

= (9/16)/100

= (9/16) x 100

= 56¼ %

(iv) 3/7

**Solution:-**

3/7 can be converted into per cent as,

= (3/7)/100

= (3/7) x 100

=

%

(v) 11/15

**Solution:-**

11/15 can be converted into per cent as,

= (11/15)/100

= (11/15) x 100

=

%

(vi)

**%**

**Solution:-**

Convert the mixed fraction into an improper fraction, and we get,

11/8

11/8 can be converted into per cent as,

= (11/8)/100

= (11/8) x 100

= 137.5%

**3. **

**(i) 6 students out of 40 students in a class are absent. What percentage of the students are absent?**

**Solution:-**

From the question, it is given that,

The total number of students in the class is 40

Number of students who are absent = 6

Then, the percentage of the students who are absent = (6/40) x 100

= 0.15 x 100

= 15%

(ii) Antony secured 384 marks out of 500 marks. Find the percentage of marks secured by Antony.

**Solution:-**

From the question, it is given that,

Antony secured 384 marks

Maximum marks = 500 mark

Then, the percentage of marks secured by Antony = (384/500) x 100

= 0.768 x 100

= 76.8%

**(iii) A shop has 500 shirts, out of which 15 are defective. What percentage of shirts are defective?**

**Solution:-**

Total number of shits that shop has = 500

Number of defective shirts = 15

Then, the percentage of shirts that are defective = (15/500) x 100

= 0.03 x 100

= 3%

(iv) Vani has a collection of bangles. She has 20 gold bangles and 10 silver bangles. What is the percentage of each type of bangle?

**Solution:-**

From the question, it is given that,

Vani has a collection of bangles

Number of gold bangles = 20

Number of silver bangles = 10

Total number of bangles she has = 20 + 10 = 30 bangles

Then, percentage of gold bangles = (20/30) x 100

= 66.67%

Percentage of silver bangles = (10/30) x 100

= 33.34%

**(v) There are 120 voters, and 90 of them voted. What per cent did not vote?**

**Solution:-**

From the question, it is given that,

Total number of voters = 120

Number of voters voted = 90

Number of voters did not vote = 120 – 90 = 30

Then, per cent did not vote = (30/120) x 100

= 25%

**4. Estimate the part of the figure which is shaded and hence find the percentage of the part which is shaded.**

**(i)**

**Solution:-**

From the figure,

The shaded part = ¾

Then, the percentage of the part which is shaded = (¾) x 100

= 75%

**(ii)**

**Solution:-**

From the figure,

The shaded part = 2/6

= 1/3

Then, the percentage of the part which is shaded = (1/3) x 100

= 33.34%

**(iii)**

**Solution:-**

From the figure,

The shaded part = 5/8

Then, the percentage of the part which is shaded = (5/8) x 100

= 62.5%

**5. Convert the following percentages into ratios in simplest form:**

**(i) 14%**

**Solution:-**

14% can be written as,

= 14/100

= 7/50

It can be written in ratio form as = 7: 50

(ii) 7/4%

**Solution:-**

7/4% can be written as,

= (7/4)/100

= 7/(4 x 100)

= 7/400

It can be written in ratio form as = 7: 100

(iii) 100/3%

**Solution:-**

100/3% can be written as,

= (100/3)/100

= 100/(3 x 100)

= 1/3

It can be written in ratio form as = 1: 3

(iv) 37.5%

**Solution:-**

37.5% can be written as,

= 37.5/100

= 375/1000

= 3/8

It can be written in ratio form as = 3: 8

**6. Express the following ratios as percentages:
(i) 5: 4**

**Solution:-**

The above ratios can be written as = 5/4

Percentage = (5/4) x 100

= 5 x 25

= 125%

(ii) 1: 1

**Solution:-**

The above ratios can be written as = 1/1

Percentage = (1/1) x 100

= 100%

(iii) 2: 3

**Solution:-**

The above ratios can be written as = 2/3

Percentage = (2/3) x 100

= 66.67%

(iv) 9: 16

**Solution:-**

The above ratios can be written as = 9/16

Percentage = (9/16) x 100

= 0.5625 x 100

= 56.25%

**7. An alloy consists of 7 parts of zinc and 33 parts of copper. Find the percentage of copper in the alloy.**

**Solution:-**

From the question, it is given that,

An alloy consists of 7 parts of zinc

33 parts of copper

Then, the total parts contain in the alloy = 33 + 7 = 40

So, the percentage of copper in the alloy = (33/40) x 100

= 82.5%

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