Question

Monthly income of A and B are in the ratio 9:7 and those of B and C in the ratio 3:2 if 10% of is income exist s exceed 15% of C's of income by 90 Rs find the income of A,B and C​

Answer 1

Hello friend,

◆ Answer -

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...

Answer 2

A income ₹4050

B income ₹3150

C income ₹2100

Step-by-step explanation:

First we consider new ratio of A:B:C

27:21:14

then 15%-10%= 5%

5 % of 90 = 4.5×10= 45

A's income 45×90 = 4050

4050 ÷ 27 = 150 share

B' income 150 × 21 = 3150

C' income 150 × 14 = 2100

hope you understand