The DAV Books Solutions Class 5 Maths and **DAV Class 5 Maths Chapter 12 Worksheet 3** Solutions of Percentage offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 12 Worksheet 3 Solutions

Question 1.

Convert the following fractions into percentages.

(a) \(\frac{4}{5}\)

Solution:

(b) \(\frac{6}{10}\)

Solution:

(c) \(\frac{3}{4}\)

Solution:

(d) \(\frac{9}{50}\)

Solution:

(e) 1\(\frac{2}{5}\)

Solution:

(f) 1\(\frac{1}{10}\)

Solution:

Question 2.

Convert the following into percentages.

(a) 6

Solution:

Method 1:

6 = 6 × \(\frac{100}{100}\)

= \(\frac{600}{100}\)

= 600%

Method 2:

6 = (6 × 100)% = 600%

(b) 15

Solution:

Method 1:

15 = 15 × \(\frac{100}{100}\)

= \(\frac{1500}{100}\)

= 1500%

Method 2:

15 = (15 × 100)% = 1500%

(c) 28

Solution:

Method 1:

28 = 28 × \(\frac{100}{100}\)

= \(\frac{2800}{100}\)

= 2800%

Method 2:

28 = (28 × 100)% = 2800%

(d) 13

Solution:

Method 1:

13 = 13 × \(\frac{100}{100}\)

= \(\frac{1300}{100}\)

= 1300%

Method 2:

13 = (13 × 100)% = 1300%

(e) 9

Solution:

Method 1:

9 = 9 × \(\frac{100}{100}\)

= \(\frac{900}{100}\)

= 900%

Method 2:

9 = (9 × 100)% = 900%

(f) 1

Solution:

Method 1:

1 = 1 × \(\frac{100}{100}\)

= \(\frac{100}{100}\)

= 100%

Method 2:

1 = (1 × 100)% = 100%

Question 3.

Convert the following decimals into percentages.

(a) 0.45

Solution:

Method 1:

0. 45 = \(\frac{45}{100}\) = 45%

Method 2:

0. 45 = (0.45 × 100)% = 45%

(b) 0.09

Solution:

Method 1:

0.09 = \(\frac{9}{100}\) = 9%

Method 2:

0.09 = (0.09 × 100)% = 9%

(c) 2.25

Solution:

Method 1:

2.25 = \(\frac{225}{100}\) = 225%

Method 2:

2.25 = (2.25 × 100)% = 225%

(d) 7.6

Solution:

Method 1:

7.6 = \(\frac{76}{10} \times \frac{10}{10}\)

= \(\frac{760}{100}\)

= 760%

Method 2:

7.6 = (7.6 × 100)% = 760%

(e) 0.01

Solution:

Method 1:

0.01 = \(\frac{1}{100}\) = 1%

Method 2:

0.01 = (0.01 × 100)% = 1%

(f) 0.135

Solution:

Method 1:

0.135 = \(\frac{135}{1000}\)

= \(\frac{135 \div 10}{1000 \div 10}\)

= 13.5%

Method 2:

0.135 = (0.135 × 100)% = 13.5%

Question 4.

Choose the correct number.

(a) 5% = 5, 0.5, 0.05, 0.005

Solution:

0.05

(b) 45% = 4.5, 0.45, 0.045, 0.0045

Solution:

0.45

(c) 125% = 0.125, 12.5, 1.25, 125

Solution:

1.25

Question 5.

Solve the following questions.

(a) Reema scored 40 marks out of 50 in her Mathematics test. Find the percentage of marks scored by her.

Solution:

Reema scored = 40 marks

Maximum marks = 50 marks

Percentage of marks = (\(\frac{40}{50}\) × 100)%

= (4 × 20)%

= 80%

(b) In a packet of 25 toffees, three toffees are mango bites. What is the percentage of mango bite toffees?

Solution:

Total toffees = 25

No. of mango bites = 3

% of mango bite toffees = (\(\frac{3}{25}\) × 100)% = 12%

(c) In the month of April, a school worked for only 24 days. What is the percentage of working days?

Solution:

Total no. of days in April = 30 days

Number of working days = 24 days

Percentage of working days = (\(\frac{24}{30}\) × 100)% = 80%

(d) In an orchard, there are 250 trees. 175 of them are apple trees. Find the percentage of apple trees.

Solution:

Total number of trees = 250

No. of apple trees = 175

Percentage of apple trees = (\(\frac{175}{250}\) × 100)% = 70%

**DAV Class 5 Maths Chapter 12 Worksheet 3 Notes**

Convert a fraction into a percentage.

Example 1.

Let us convert \(\frac{2}{5}\) into percentage.

Solution:

Method 1:

\(\frac{2}{5}=\frac{2}{5} \times \frac{20}{20}=\frac{40}{100}\) = 40%

Method 2:

\(\frac{2}{5}\) = (\(\frac{2}{5}\) × 100)%

= \(\frac{200}{5}\)%

= 40%

We can convert a fraction into a percentage by two methods:

- Convert a fraction into an equivalent fraction with denominator 100.
- Multiply the fraction by 100.

Convert a decimal number into a percentage.

Example 2.

Convert 0.2 into a percentage.

Solution:

Method 1:

0.2 = \(\frac{2}{10}\)

= \(\frac{2 \times 10}{10 \times 10}\)

= \(\frac{20}{100}\)

= 20%

Method 2:

0.2 = (0.2 × 100)% = 20%

We can convert decimals into percentages by two methods:

- Convert decimal into an equivalent fraction with denominator 100.
- Multiply the decimal by 100.

Convert a whole number into a percentage.

Example 3.

Convert 3 into a percentage.

Solution:

Method 1:

3 = \(\frac{3 \times 100}{100}\)

= \(\frac{300}{100}\)

= 300%

Method 2:

3 = (3 × 100)% = 300%

We can convert whole numbers into percentages by 2 methods:

- Convert whole numbers into equivalent fractions with denominator 100.
- Multiply the whole number by 100.