# Are the following statements true?

(a) 40 persons : 200 persons = ₹ 15 : ₹ 75

(b) 7.5 litres : 15 litres = 5 kg : 10 kg

(c) 99 kg : 45 kg = ₹ 44 : ₹ 20

(d) 32 m : 64 m = 6 sec : 12 sec

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

**Solution:**

We will use the concept of proportion to solve this.

(a) 40 persons : 200 persons = ₹ 15 : ₹ 75

⇒ 40 / 200 = 1 / 5

⇒ 15 / 75 = 1 / 5

⇒ 1 / 5 = 1 / 5

Hence, the statement is true

(b) 7.5 litres : 15 litres = 5 kg : 10 kg

⇒ 7.5 / 15 = 1 / 2

⇒ 5 / 10 = 1 / 2

⇒ 1 / 2 = 1 / 2

Hence, the statement is true

(c) 99 kg : 45 kg = ₹ 44 : ₹ 20

⇒ 99 / 45 = 11 / 5

⇒ 44 / 20 = 11 / 5

⇒ 11 / 5 = 11 / 5

Hence, the statement is true

(d) 32 m : 64 m = 6 sec : 12 sec

⇒ 32 / 64 = 1 / 2

⇒ 6 / 12 = 1 / 2

⇒ 1 / 2 = 1 / 2

Hence, the statement is true

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

⇒ 45 / 60 = 3 / 4

⇒ 12 / 15 = 4 / 5

⇒ 3 / 4 ≠ 4 / 5

Hence, the statement is false

You can also use Proportions Calculator to check your answer.

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.2 Question 3

## Are the following statements true? (a) 40 persons : 200 persons = ₹ 15 : ₹ 75 (b) 7.5 litres : 15 litres = 5 kg : 10 kg (c) 99 kg : 45 kg = ₹ 44 : ₹ 20 (d) 32 m : 64 m = 6 sec : 12 sec (e) 45 km : 60 km = 12 hours : 15 hours

**Summary:**

- 40 persons : 200 persons = ₹ 15 : ₹ 75 is true
- 7.5 litres : 15 litres = 5 kg : 10 kg is true
- 99 kg : 45 kg = ₹ 44 : ₹ 20 is true
- 32 m : 64 m = 6 sec : 12 sec is true
- 45 km : 60 km = 12 hours : 15 hours is false

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