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# How to find the ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3 ...

## Topic : Ratio

### Learning Objective:

• Application of compound ratio, duplicate ratio, triplicate ratio, sub-duplicate ratio and sub-triplicate ratio.

### Concepts:

• A ratio is a comparison of the sizes of two or more quantities of the same kind by division.

• If p and q are two quantities of the same kind, then the fraction p/q is called the ratio of p to q.

• The quantities p and q are called terms of the ratio.

### Properties of Ratios

• The ratio compounded of the two ratios a : b and c : d is ac : bd.

• The duplicate ratio of a : b is a² : b²

• The triplicate ratio of a : b is a³ : b³

• The sub-duplicate ratio of a : b is √a : √b

### Question : 11

The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3, sub duplicate ratio of 81 : 256 and sub triplicate ratio of 125 : 512 is...

• Option (A) : 4 : 512

• Option (B) : 3 : 32

• Option (C) : 1 : 12

• Option (D) : None of these

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