Question

Ratio of the income of A and B is 6:5 and the ratio of the savings of A and B is 3:1. If the expenditure of A and B is Rs.12000 and Rs.16000 respectively, then find the difference between the income of A and B?

• A. Rs.3000
• B. Rs.5000
• C. Rs.6000
• D. Rs.4000

Answer 1

The Correct Option is D

The income ratio of A and B is given as 6:5, and the savings ratio of A and B is given as 3:1. Let the incomes of A and B be 6x and 5x respectively. The expenditures of A and B are Rs.12000 and Rs.16000 respectively.

First, express the savings: 

For A: Savings = Income - Expenditure = 6x - 12000

For B: Savings = Income - Expenditure = 5x - 16000

According to the savings ratio:

(6x - 12000) / (5x - 16000) = 3/1

Simplifying this equation:

6x - 12000 = 3(5x - 16000)

6x - 12000 = 15x - 48000

Rearrange to solve for x:

48000 - 12000 = 15x - 6x

36000 = 9x

x = 4000

Now calculate the income:

Income of A = 6x = 6(4000) = Rs.24000

Income of B = 5x = 5(4000) = Rs.20000

The difference between the incomes of A and B: 24000 - 20000 = Rs.4000

Thus, the correct answer is Rs.4000.