# How to find the ratio compounded of 4 : 9, the duplicate ratio of 3 : 4, the triplicate ...

## Course : CA Foundation

## Topic : Ratio

### Learning Objective:

Application of compound ratio, duplicate ratio and 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 Ratio:

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

### Exercise : 1(A)

### Question : 10

The ratio compounded of 4 : 9, the duplicate ratio of 3 : 4, the triplicate ratio of 2 : 3 and 9 : 7 is …?

Question (A) : 2 : 7

Question (B) : 7 : 2

Question (C) : 2 : 21

Question (D) : None of these