RD Sharma Solutions for Class 8 Chapter 12 Percentage Exercise 12.1

In this chapter, we provide RD Sharma Solutions for Class 8 Chapter 12 Percentage Exercise 12.1 for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Solutions for Class 8 Chapter 12 Percentage Exercise 12.1 pdf, free RD Sharma Solutions for Class 8 Chapter 12 Percentage Exercise 12.1 book pdf download. Now you will get step by step solution to each question.

Access Answers to RD Sharma Solutions for Class 8 Maths Exercise 12.1 Chapter 12 Percentage

1. Write each of the following as percentage.
(i) 7/25
(ii) 14/625
(iii) 5/8
(iv) 0.8
(v) 0.005
(vi) 3:25
(vii) 11: 80
(viii) 111: 125
(ix) 13: 75
(x) 15: 16
(xi) 0.18
(xii) 7/125

Solution:

(i) 7/25

To change any number to percentage we have to multiply that number by 100,

i.e., 7/25 × 100 = 28%

(ii) 14/625

To change any number to percentage we have to multiply that number by 100,

i.e., 14/625 × 100 = 56/25 = 2.24%

(iii) 5/8

To change any number to percentage we have to multiply that number by 100,

i.e., 5/8 × 100 = 125/2 = 62.5%

(iv) 0.8

To change any number to percentage we have to multiply that number by 100,

i.e., 0.8 can be written as 8/10

so, 8/10 × 100 = 80%

(v) 0.005

To change any number to percentage we have to multiply that number by 100,

i.e., 0.005 can be written as 5/1000

so, 5/1000 × 100 = 5/10 = 0.5%

(vi) 3:25

To change any number to percentage we have to multiply that number by 100,

i.e., 3/25 × 100 = 3 × 4 = 12%

(vii) 11 : 80

To change any number to percentage we have to multiply that number by 100,

i.e., 11/80 × 100 = 55/4 = 13.75%

(viii) 111 : 125

To change any number to percentage we have to multiply that number by 100,

i.e., 111/125 × 100 = 444/5 = 88.8%

(ix) 13 : 75

To change any number to percentage we have to multiply that number by 100,

i.e., 13/75 × 100 = 52/3 = 17.3%

(x) 15 : 16

To change any number to percentage we have to multiply that number by 100,

i.e., 15/16 × 100 = 375/4 = 93.75%

(xi) 0.18

To change any number to percentage we have to multiply that number by 100,

i.e., 0.18 can be written as 18/100

so, 18/100 × 100 = 18%

(xii) 7/125

To change any number to percentage we have to multiply that number by 100,

i.e., 7/125 × 100 = 28/5 = 5.6%

2. Convert the following percentages to fractions and ratios.
(i) 25%
(ii) 2.5%
(iii) 0.25%
(iv) 0.3%
(v) 125%

Solution:

(i) 25%

To convert percentage to fractions we have to divide by 100,

i.e., 25/100 = 1/4 or 1:4

(ii) 2.5%

To convert percentage to fractions we have to divide by 100,

i.e., 2.5% can be written as 25/10

so, (25/10)/100 = 25/1000 = 1/40 or 1:40

(iii) 0.25%

To convert percentage to fractions we have to divide by 100,

i.e., 0.25% can be written as 25/100

so, (25/100)/100 = 25/10000 = 1/400 or 1:400

(iv) 0.3%

To convert percentage to fractions we have to divide by 100,

i.e., 0.3% can be written as 3/10

so, (3/10)/100 = 3/1000 or 3:1000

(v) 125%

To convert percentage to fractions we have to divide by 100,

i.e., 125/100 = 5/4 or 5:4

3. Express the following as decimal fractions.
(i) 27%
(ii) 6.3%
(iii) 32%

(iv) 0.25%
(v) 7.5%
(vi) 1/8%

Solution:

(i) 27%

To convert percentage to decimal fractions we have to divide by 100,

i.e., 27% = 27/100 = 0.27

(ii) 6.3%

Here 6.3 can be written as 63/10

To convert percentage to decimal fractions we have to divide by 100,

i.e., 6.3% = 63/(10 × 100) =63/1000 = 0.063

(iii) 32%

To convert percentage to decimal fractions we have to divide by 100,

i.e., 32% = 32/100 = 0.32

(iv) 0.25%

Here 0.25 can be written as 25/100

To convert percentage to decimal fractions we have to divide by 100,

i.e., 0.25% = 25/(100 × 100) = 25/10000 = 0.0025

(v) 7.5%

Here 7.5 can be written as 75/10

To convert percentage to decimal fractions we have to divide by 100,

i.e., 7.5% = 75/(10 × 100) =75/1000 = 0.075

(vi) 1/8%

To convert percentage to decimal fractions we have to divide by 100,

i.e., 1/8% = 1/(8 × 100) =1/800 = 0.00125


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