ML Aggarwal Ratio and Proportion Exe-8.2 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-8.2 Questions for Ratio and Proportion as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Ratio and Proportion Exe-8.2 Class 6 ICSE Maths Solutions

Board | ICSE |

Publications | Avichal Publishig Company (APC) |

Subject | Maths |

Class | 6th |

Chapter-8 | Ratio and Proportion |

Writer | ML Aggarwal |

Book Name | Understanding |

Topics | Solution of Exe-8.2 Questions |

Edition | 2023-2024 |

**Ratio and Proportion Exe-8.2**

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-162

**Question 1. Check whether the given two ratios form a proportion or not:**

(i) 4 : 6 and 12 : 18

(ii) 15:45 and 40 :120

(iii) 14 : 4 and 18 : 6

(iv) 12 : 18 and 28 : 12

**Answer:**

**(i) 4 : 6 and 12 : 18**

4/6 and 12/18

2/3 and 2/3

= 2 : 3 and 2 : 3 **Yes**

**(ii) 15:45 and 40 :120**

15/45 and 40/120

1/3 and 1/3 **Yes**

**(iii) 14 : 4 and 18 : 6**

14/4 and 18/6

7/2 and 3/1

7 : 1 and 3 : 1 **No**

**(iv) 12 : 18 and 28 : 12**

12/18 and 28/12

2/3 and 7/3 **No**

**Ratio and Proportion Exe-8.2**

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-163

**Question 2. Write true (T) or false (F) against each of the following statements:**

(i) 16 : 24 = 20 : 30

(ii) 16 : 24 = 30 : 20

(iii) 21 : 6 :: 35 : 10

(iv) 5.2 : 3.9 :: 3 :4

**Answer:**

**(i) 16 : 24 = 20 : 30**

2 : 3 = 2 : 3 True

**(ii) 16 : 24 = 30 : 20**

2 : 3 = 3 : 2 False

**(iii) 21 : 6 :: 35 : 10**

21 : 6 = 35 : 10

7 : 2 = 7 : 2 True

**(iv) 5.2 : 3.9 :: 3 : 4**

**Question 3. Find which of the following are in proportion:**

(i) 12, 16, 6, 8

(ii) 2, 3, 4, 5

(iii) 18, 10, 9, 5

(iv) 18, 9, 10, 5

**Answer:**

**(i) 12, 16, 6, 8**

12: 16 :: 6 : 8

⇒ 12/16 = 6/8

12 × 8 = 16 × 6 ⇒ 96 = 96

∴ 12 : 16 :: 6 : 8 are in proportion

**(ii) 2, 3, 4, 5**

2 : 3 :: 4 : 5

⇒ 2/3 = 4/5

2 × 5 = 3 × 4 ⇒ 10 = 12 not in proportion

**(iii) 18, 10, 9, 5**

18 : 10 : : 9 : 5

⇒ 18/10 = 9/5

∴ 18 × 5 = 10 × 9 ⇒ 90 = 90

∴ 18 : 10 :: 9 : 5 are in proportion

**(iv) 18, 9, 10, 5**

18 : 9 :: 10 : 5

⇒ 18/9 = 10/5

18 × 5 = 9 × 10

⇒ 90 = 90

∴ 18 : 9 :: 10 : 5 are in proportion

**Question 4. Are the following statements true?**

(i) 39 kg : 36 kg = 26 men : 24 men

(ii) 45 km : 60 km = 12 hours : 15 hours

(iii) 40 people : 200 people = ₹1000 : ₹5000

(iv) 7.5 litres: 15 litres = 15 children: 30 children

**Answer:**

**(i) 39kg : 36 kg = 26 men : 24 men**

we have; 39: 36 = 39/36 = 13/12

And, 26:24 = 26/24 = 13/12

∴ 39 : 36 = 26 : 24

So, the given statement is true

**(ii) 45km : 60 km = 12 hours : 15 hours**

We have, 45 : 60 = 45/60 = 3/4

And, 12 : 15 = 12/15 = 4/5

∴ 45 : 60 ≠ 12 : 15

So, the given statement is false

**(iii) 40 people : 200 people = ₹1000 : ₹5000**

We have, 40:200 = 40/200 = 1/5

And, 1000 : 5000 = 1000/5000 = 1/5

∴ 40 : 200 = 1000 : 5000

So, the given statement is true

**(iv) 7.5 litres : 1.5 litres = 15 children : 30 children**

We have, 7.5 : 15 = 7.7/15 = 2.5/5

25/(5 x 10) = 25/50 = 1/2

And, 15: 30 = 15/30 = 1/2

∴ 7. 5 : 1.5 = 15 : 30

So, the given statement is true

**Question 5. Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms when the ratios form a proportion. **

(i) 25 cm : 1 m and ₹40 : ₹ 160

(ii) 39 litres : 65 litres and 6 bottles : 10 bottles

(iii) 2 kg : 80 kg and 30 sec : 5 minutes

(iv) 200 g : 2.5 kg and ₹4 : ₹50

**Answer:**

**(i) 25 cm : 1 m and ₹40 : ₹ 160 **

∵ 1 m = 100 cm

∴ 25 cm : 1m = 25cm : 100 cm

= 25/100 = 1/4 = 1 : 4

₹40 : ₹160 =

= 40/160 = 1/4 = 1 : 4

Since, the two ratio are equal, therefore, the given ration form a proportion. Middle terms are 1m and ₹40. Extreme terms are 25 cm and ₹160

**(ii) 39 litres : 65 litres and 6 bottles : 10 bottles**

39 litre : 65 litre

39/65 = 3/5 = 3 : 5

6 bottle : 10 bottle = 6/10

= 3/5 = 3 : 5

Since the two ratios are equal, therefore, the given ratios form a proportion. Middle terms are 65 litres and 6 bottle. Extreme terms are 39 litres and 10 bottle.

**(iii) 2 kg : 80 kg and 30 sec : 5 minutes**

2kg : 80 kg

= 2/80 = 1/40 = 1 : 40

30 sec : 5 min. = 30 sec : 5 × 60 sec

30/300 = 1/10 = 1 : 10

Since the two ratios are not equal, therefore, the given ratios do not form a proportion.

**(iv) 200 g : 2.5 kg and ₹4 : ₹50**

2.5 kg = 2.5 × 1000 g = 2500 g

∴ 200 g : 2.5kg = 200 g : 2500 g

= 200/2500 = 2/25 = 2 : 25

₹ 4 : ₹50 = 4/50 = 2/25 = 2 : 25

Since, the two ratios are equal, therefore the given ratios form a proportion. Middle term are 2.5 kg and ₹4. Extreme terms are 200g and ₹50

— : End of ML Aggarwal Ratio and Proportion Exe-8.2 Class 6 ICSE Maths Solutions :–

Return to **–** ML Aggarwal Maths Solutions for ICSE Class -6

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