Question

The ratio of income of two gentlemen is 9:7 and the ratio of their expenditure are 4:3. If each of them manages to save Rs. 2000 per month, find the difference in their monthly income.

• A. Rs. 14000
• B. Rs.8000
• C. Rs.4000
• D. Rs. 6000

Answer 1

The correct option is C

Rs.4000

Let x be the income of both the gentlemen and y be their expenditure.

Ratio of income = 9:7

Their total income = 9x + 7x = 16x

Ratio of their expenditure = 4 : 3

Their total expenses = 4y + 3y = 7y

savings = 2000 each [given]

Since, Income – expense = saving

9x – 4y = 2000 --------- (i)

7x – 3y = 2000 ---------- (ii)

Solving the equation (i) and (ii), we get

x = 2000 and y = 4000

So, their monthly incomes = 9 × 2000 = Rs.18000

= 7 × 2000 = Rs.14000

Difference in their income = Rs.(18000 - 14000) = Rs. 4000