If A:B:C = 2:3:5, then the ratio of $$\frac{A}{B}:\frac{B}{C}:\frac{C}{A}$$​ is equal to:

Correct option is A

Given:

A:B:C = 2:3:5

Formula Used:

Ratio and Proportions

Solution:

Let the numbers A,B and C be 2x,3x and 5x respectively

Then $$\frac{A}{B} = \frac{2x}{3x} = \frac{2}{3}$$​​

​$$\frac{B}{C} = \frac{3x}{5x} = \frac{3}{5}$$​​

​$$\frac{C}{A} = \frac{5x}{2x} = \frac{5}{2}$$​​

​$$\frac{A}{B}:\frac{B}{C}:\frac{C}{A}=\frac{2}{3}:\frac{3}{5}:\frac{5}{2}$$​​

Taking LCM of 3,5 and 2 = 30

​$$\frac{2}{3}\times 30:\frac{3}{5}\times 30:\frac{5}{2}\times 30$$​​

​$$= 20:18:75$$​​