Question

If 6 ( A ` s capital ) = 8 ( B ` s capital ) = 10 ( C ` s capital ) then the ratio of their capitals is

Answer 1

This question test the concept of combining ratios.

In combining ratios there must be a common ratio.

Let s first get the ratios:

6A = 8B = 10C

6A = 8B

A / B = 8/6

Simplifying this we get :

A / B = 4 / 3

A : B = 4 : 3

8B = 10C

B / C = 10 / 8

Simplifying this we get :

B / C = 5 / 4

B : C = 5 : 4

The common ratio here is B and it has the values : 5 and 3

To solve this we get the LCM of 5 and 3.

LCM of 5 and 3 is 15

We perform the following calculations :

A : B = {4 : 3} × 5

20 : 15 = A : B

B : C = {5 : 4} × 3

15 : 12 = B : C

With this calculations we have made B equal in both ratios.

We therefore get the ratios : A : B : C by simply taking the values of A, B and C and putting them in this order.

A : B : C = 20 : 15 : 12