Question

The monthly incomes of A and B are in the ratio of 9 : 7 and those of B and C are in the ratio of
3:2. If 10% of A's income exceeds 15% of C's income by ₹ 18, find their incomes.​

Answer 1

Answer:

Step-A's income = 4050 Rs

B's income = 3150 Rs

C's income = 2100 Rs

◆ Explanation -

Let income of a, b and c be respective incomes of A, B and C.

Given that,

a/b = 9/7

b = 7/9 a

Also,

b/c = 3/2

7/9 a = 3/2 c

c = 2/3 × 7/9 a

c = 14/27 a

We know that,

10% a - 15% c = 90

10/100 a - 15/100 × 14/27 a = 90

a/45 = 90

a = 45 × 90

a = 4050

Therefore,

A's income => a = 4050 Rs

B's income => b = 7/9 × 4050 = 3150 Rs

C's income => c = 14/27 × 4050 = 2100 Rs

Hope this helps you...