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

**All Chapter RD Sharma Solutions For Class 8 Maths**

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