Compound Ratio – Concept, Formula, and Examples

Compound Ratio – Concept, Formula & Examples

A Compound Ratio is obtained when two or more simple ratios are multiplied together term by term. It helps in comparing quantities when multiple ratios act successively.

Formula:

If two ratios are a : b and c : d, then their compound ratio is:

Compound Ratio = (a × c) : (b × d)

Example 1:

Find the compound ratio of 3 : 5 and 4 : 7.

Solution:
(3×4):(5×7) = 12 : 35

Example 2:

Find the compound ratio of 2 : 3 and 5 : 6.

Solution:
(2×5):(3×6) = 10 : 18 = 5 : 9

Practice MCQs on Compound Ratio

1. The compound ratio of 2:3 and 4:5 is:

4 : 8 8 : 15 10 : 6 5 : 2

2. Compound ratio of 5:6 and 3:7 equals:

15 : 42 30 : 72 35 : 18 18 : 35

3. Find compound ratio of 4:9 and 3:8.

8 : 12 12 : 20 12 : 24 10 : 20

4. If two ratios are 5:8 and 2:3, their compound ratio is:

10 : 10 15 : 10 12 : 15 10 : 12

5. Compound ratio of 7:9 and 9:11 is:

7 : 9 63 : 99 11 : 7 9 : 9

See Also: Angles on the Clock with Examples and Quiz | Preparation