Percentage Class 8 RS Aggarwal Exe-6A Goyal Brothers ICSE Maths Solutions Ch-6. We provide step by step Solutions of council prescribe textbook / publication to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-8 Mathematics.

## Percentage Class 8 RS Aggarwal Exe-6A Goyal Brothers ICSE Maths Solutions

Board | ICSE |

Publications | Goyal Brothers |

Subject | Maths |

Class | 8th |

Writer | RS Aggarwal |

Book Name | Foundation |

Ch-6 | Percentage |

Exe-6A | Interconversion of percentage into fraction or ratio |

Edition | 2024-2025 |

### How to Convert Percentage into fraction

for convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100. And, then we express the fractional form of the percentage in the simplest form

#### How to Convert Fraction into Percentage

To convert fractions to percentages divide the numerator (number on the top) by the denominator (number on the bottom) and multiply by 100 . This will give you the fraction as a percentage.

#### Interconversion of Percentage into Decimal

To convert a percentage to a decimal, divide by 100 while converting a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right)

**Exercise- 6A**

(Percentage Class 8 RS Aggarwal Exe-6A Goyal Brothers ICSE Maths Solutions Ch-6)

**Que-1: Convert each of the following into a fractions :**

(i) 68% (ii) 3*(1/3)% (iii) 224% (iv) 0.05%

**Sol: **(i) 68% = 68/100 = 17/25

(ii) 3*(1/3)% = 10/300 = 1/30

(iii) 224% = 224/100 = 56/25 = 2*(6/25)

(iv) 0.05% = 5/100×100 = 5/10000 = 1/2000.

**Que-2: Convert each of the following into a percentage :**

(i) 2/15 (ii) 9/40 (iii) 1*(2/3) (iv) 2*(2/5)

**Sol: **(i) 2/15

2/15 x 100 = 40/3% = 13*(1/3)%

(ii) 9/40

9/40 x 100 = 45/2% = 22*(1/2)%

(iii) 1*(2/3)

7/3 x 100 = 700/3 % = 166*(2/3)%

(iv) 2*(2/5)

12/5 x 100 = 240%

**Que-3: Express each of the following ratios as a percentage :**

(i) 13:20 (ii) 11:18 (iii) 87:25 (iv) {6*(1/4)}:{4*(3/8)}

**Sol: **(i) 13:20

13/20 x 100 = 65%

(ii) 11:18

11/18 x 100 = 550/9 % = 61*(1/9)%

(iii) 87:25

87/25 x 100 = 348%

(iv) {6*(1/4)} : {4*(3/8)}

25/4 : 35/8 = (25/4)/(35/8)

25/4 x 8/35 x 100

= 1000/7 % = 142*(6/7)%.

**Que-4: Express each of the following decimals as a percentage :**

(i) 0.2 (ii) 0.06 (iii) 0.008 (iv) 2.4

**Sol: **(i) 0.2 = 2/10

2/10 x 100 = 20%

(ii) 0.06 = 6/100

6/100 x 100 = 6%

(iii) 0.008 = 8/1000

8/1000 x 100 = 0.8%

(iv) 2.4 = 24/10

24/10 x 100 = 240%.

**Que-5: Express each of the following percentages as a decimal :**

(i) 25% (ii) 4% (iii) 3*(1/5)% (iv) 0.3%

**Sol: **(i) 25% = 25/100 = 0.25

(ii) 4% = 4/100 = 0.04

(iii) 3*(1/5)% = 16/5×100 = 0.032

(iv) 0.3% = 3/10×100 = 0.003

**Que-6: Express each of the following as a ratio :**

(i) 48% (ii) 26*(2/3)% (iii) 0.06% (iv) 120%

**Sol: **(i) 48% = 48/100 = 12:25

(ii) 26*(2/3)% = 80/3% = 80/300 = 4:15

(iii) 0.06% = 6/100 % = 6/100×100 = 3:5000

(iv) 120% = 120/100 = 6:5.

**Que-7: Find the value of :**

(i) 33% of Rs50 (ii) 6*(2/3)% of 3m (iii) 0.6% of 35kg (iv) 3*(1/4) of 5l

**Sol: **(i) 33% of Rs50

33/100 x 50 = 33/2 = Rs 16.50

(ii) 20/3 % of 3m

20/300 x 3 = 1/5 = 0.2m = 20cm

(iii) 0.6% of 35kg

6/10 % of 35kg

{6/(10×100)} x 35 = 21/100 = 0.21kg = 210g

(iv) 13/4 % of 5L

13/(4×100) x 5 = 13/80 = 0.1625L = 162.5 ml.

**Que-8: (i) What per cent of Rs 9 is Rs5 (ii) What per cent of 32m is 80m (iii) What per cent of 50kg is 65kg (iv) What per cent of 5l is 400ml.**

**Sol: **(i) Let the percent be x%

x% x 9 = 5

x/100 x 9 = 5

x = 5/9 x 100

x = 500/9 = 55*(5/9) %

(ii) Let the percent be x%

x% x 32 = 80

x/100 x 32 = 80

x = 80/32 x 100

x = 250%.

(iii) Let the percent be x%

x% x 50 = 65

x/100 x 50 = 65

x = 65/50 x 100

x = 130%

(iv) Let the percent be x%

400ml = 0.4L

x% x 5 = 0.4

x/100 x 5 = 0.4

x = 0.4/5 x 100

x = 8.0 %.

**Que-9: (i) If 8% of a number is 24, find the number**

(ii) If 7.25% of a number is 2.9, find the number.

(iii) If 6*(2/3)% of a number is 1, find the number.

(ii) If 7.25% of a number is 2.9, find the number.

(iii) If 6*(2/3)% of a number is 1, find the number.

**Sol: **(i) Let the number be x

8% of x = 24.

8/100 × x = 24

x = (24×100)/8.

x = 300.

(ii) Let the number be x

7.25 of x = 2.9

(7.25/100) × x = 2.9

x × 7.25 = 2.9×100

x = 290/7.25

x = 40

(iii) Let the number be x

20/3 % of x = 1

20/300 × x = 1

x = 300/20

x = 15.

**Que-10: (i) Increase 75 by 24% (ii) Decrease 375 by 8%.**

**Sol: **(i) 75 x (24/100)

= 3 x 6 = 18

= 75 + 18 = 93.

(ii) 375 x (8/100)

= 15 x 2 = 30

= 375 – 30 = 345.

**Que-11: What number when increased by 15% becomes 276 ?**

**Sol: **Let the number be x

276 = x+(15% of x)

276 = x+(15/100) × x

276 = (100x+15x)/100

27600 = 115x

x = 27600/115

x = 240.

**Que-12: What number when decreased by 8% becomes 345 ?**

**Sol: **Let the number be x

ATQ,

x – (8x/100) = 345

(100x-8x)/100 = 345

92x/100 = 345

x = (345×100)/92

x = 15 x 25

x = 375.

–: End of Percentage Class 8 RS Aggarwal Exe-6A ICSE Maths Solutions Ch-6. :–

**Return to :- ICSE Class -8 RS Aggarwal Goyal Brothers Math Solutions**

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