Class 8 RD Sharma Solutions - Chapter 12 Percentage - Exercise 12.1

Question 1: Write each of the following as percent:

Explanation: To convert into percent, we need to multiply 100 into the given value.

Note: Don't forget to write the percentage sign in your answer.

a) 7/25

Solution: 

(7/25) * 100

= 28%

b)14/265

Solution: 

(14/265) * 100

= 2.24%

c) 5/8

Solution: 

(5/8) * 100

= 62.5%

d) 0.8

Solution:

(0.8) * 100

= 80%

e) 0.005

Solution: 

(0.005) * 100

= 0.5%

f) 3:25

Solution:

(3/25) * 100

= 12%

g)11:80

Solution: 

(11/80) * 100

= 13.75%

h) 111:125

Solution: 

(111/125) * 100

= 88.8%

i) 13:75

Solution: 

(13/75) * 100

= 17.33%

j) 15/16

Solution: 

(15/16) * 100

= 93.75%

k) 0.18

Solution: 

(0.18) * 100

=18%

l) 7/125

Solution: 

(7/125) * 100

= 5.6%

Question 2: Convert the following percentage into fraction and ratios:

Explanation: To convert percentage into fraction and ratios, we need to divide the number by 100 and reduce the fraction to lowest possible term.

Note: Don't forget to remove the percentage sign.

a) 25%

Solution: 

25/100 (Divide numerator and denominator by 5)

= 5/20 (Divide numerator and denominator by 5)

= 1/4 

=1:4

b) 2.5%

Solution: 

2.5/100 

= 25/1000 (Divide numerator and denominator by 25)

= 1/40        

= 1:40

c) 0.3%

Solution:

0.3/100

= 3/1000

= 3:1000

d) 125%

Solution: 

125/100 (Divide numerator and denominator by 25)

= 5/4

= 5:4

Question 3: Express the following as decimal fractions:

Explanation: To convert percent into fraction divide it by 100 and then convert fraction into decimal values.

a) 27%

Solution: 

27/100 

= 0.27

b) 6.3%

Solution:

6.3/100

= 0.063

c) 32%

Solution: 

32/100

= 0.32

d) 0.25%

Solution: 

0.25/100

= 0.0025

e) 7.5%

Solution: 

7.5/100

= 0.075

f) (1/8)%

Solution: 

(1/8)/100 (100 will get multiplied by 8)

= 1/800

= 0.00125