Course : CA Foundation
Topic : Ratio
Application of compound ratio, duplicate ratio, triplicate ratio, sub-duplicate ratio and sub-triplicate ratio.
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
Exercise : 1(A)
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