# Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

(a) 25 cm : 1 m and ₹ 40 : ₹ 160

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

(c) 2 kg : 80 kg and 25 g : 625 g

(d) 200 mL : 2.5 litre and ₹ 4 : ₹ 50

**Solution:**

We will use the concept of proportion to solve this.

(a) 25 cm : 1 m and ₹ 40 : ₹ 160

⇒ 25 cm = 25 / 100 m = 0.25 m

⇒ 0.25 / 1 = 1 / 4

⇒ 40 / 160 = 1 / 4

⇒ 1 / 4 = 1 / 4

Therefore, 25 cm : 1 m and ₹ 40 : ₹ 160 are in proportion.

Middle terms = 1 m, ₹ 40 and Extreme terms = 25 cm, ₹ 160

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

⇒ 39 / 65 = 3 / 5

⇒ 6 / 10 = 3 / 5

⇒ 3 / 5 = 3 / 5

Therefore, 39 liters: 65 liters and 6 bottles: 10 bottles are in proportion.

Middle terms = 65 liters, 6 bottles and Extreme terms = 39 liters, 10 bottles

(c) 2 kg : 80 kg and 25 g : 625 g

⇒ 2 / 80 = 1 / 40

⇒ 25 / 625 = 1 / 25

⇒ 1 / 40 ≠ 1 / 25

Therefore, 2 kg: 80 kg and 25 g: 625 g are not in proportion.

(d) 200 mL : 2.5 litre and ₹ 4 : ₹ 50

⇒ 2.5 litre = 2500 ml

⇒ 200 / 2500 = 2 / 25

⇒ 4 / 50 = 2 / 25

⇒ 2 / 25 = 2 / 25

Therefore, 200 mL: 2.5 liters and ₹ 4: ₹ 50 are in proportion.

Middle terms = 2.5 liters, ₹ 4 and Extreme terms = 200 ml, ₹ 50

You can also use Proportions Calculator to check your answer.

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.2 Question 4

## Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion. (a) 25 cm : 1 m and ₹ 40 : ₹ 160 (b)39 litres : 65 litres and 6 bottles : 10 bottles (c) 2 kg : 80 kg and 25 g : 625 g (d) 200 mL : 2.5 litre and ₹ 4 : ₹ 50

**Summary:**

- Yes, 25 cm : 1 m and ₹ 40 : ₹ 160 are in proportion. Middle terms = 1 m, ₹ 40 and Extreme terms = 25 cm, ₹ 160
- Yes, 39 litres : 65 litres and 6 bottles : 10 bottles are in proportion. Middle terms = 65 liters, 6 bottles and Extreme terms = 39 liters, 10 bottles
- No, 2 kg : 80 kg and 25 g : 625 g are not in proportion
- Yes, 200 mL : 2.5 litre and ₹ 4 : ₹ 50 are in proportion. Middle terms = 2.5 liters, ₹ 4 and Extreme terms = 200 ml, ₹ 50

**☛ Related Questions:**

- Present Age Of Father Is 42years And That Of His Son Is 14years Find The Ratio Of Apresent Age Of Father To The Present Age Of Son Bage Of The Father To The Age Of Son When Son Was
- Determine If The Following Are In Proportion A 15 45 40 120 B 33 121 9 96 C 24 28 36 48 D 32 48 70 210 E 4 6 8 12 F 33 44 75 100
- Write True T Or False F Against Each Of The Following Statements A 16 24 20 30 B 21 6 35 10 C 12 18 28 12 D 8 9 24 27 E 52 39 3 4
- Are The Following Statements True A 40 Persons 200 Persons Inr 15 Inr 75 B 75 Litres 15 Litres 5 Kg 10 Kg C 99 Kg 45 Kg Inr 44 Inr 20 D 32 M 64 M 6 Sec 12 Sec

visual curriculum