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

Course : CA Foundation

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

 

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

Video Solution:


CA Foundation - The ratio compounded of duplicate ratio of 4 : 5, triplicate ratio of 1 : 3 ...