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.