Ratio and Proportion Questions & Answers

Question 16

Easy

If A is 150% of B, what is A : B?

A 2 : 3

B 2 : 1

C 3 : 2

D 1 : 1

Correct Answer: C

Explanation:

Step 1: A = 150% of B = (150/100) × B. Step 2: So A/B = 150/100, i.e. A : B = 150 : 100. Step 3: Divide by the HCF 50: 3 : 2.

Question 17

Medium

A 20-litre mixture contains milk and water in the ratio 4 : 1. How much water must be added to make the ratio 16 : 7?

A 7 litres

B 3 litres

C 1 litres

D 4 litres

Correct Answer: B

Explanation:

Step 1: Milk = 20 × 4/5 = 16 L and water = 4 L. Step 2: Adding water does not change the milk, so 16 : (4 + x) = 16 : 7. Step 3: 4 + x = 16 × 7/16 = 7 → x = 3 litres.

Question 18

Easy

A's income is 20% more than B's income. What is the ratio of A's income to B's income?

A 5 : 6

B 6 : 5

C 7 : 5

D 1 : 1

Correct Answer: B

Explanation:

Step 1: 20% more than B means A = B + 20% of B = (120/100) × B. Step 2: So A : B = 120 : 100. Step 3: Divide by the HCF 20: 6 : 5.

Question 19

Easy

If A : B = 3 : 7 and B : C = 9 : 2, find A : B : C.

A 3 : 7 : 2

B 27 : 63 : 14

C 3 : 9 : 2

D 14 : 63 : 27

Correct Answer: B

Explanation:

Step 1: B is 7 in the first ratio and 9 in the second; make it equal by multiplying the first ratio by 9 and the second by 7. Step 2: A : B = 27 : 63 and B : C = 63 : 14. Step 3: A : B : C = 27 : 63 : 14 = 27 : 63 : 14.

Question 20

Easy

Express the ratio 247 : 228 in its simplest form.

A 12 : 13

B 7 : 6

C 1 : 1

D 13 : 12

Correct Answer: D

Explanation:

Step 1: Find the HCF of 247 and 228; it is 19. Step 2: Divide both terms by 19: 247 ÷ 19 = 13 and 228 ÷ 19 = 12. Step 3: 13 and 12 have no common factor, so the simplest form is 13 : 12.

Ratio and Proportion Practice Questions