Question

The annual income of Mr. X and Mr. Y is in the ratio 9 : 8 and their expenditures are in the ratio 5 : 4. If both individually manage to save Rs. 5,000, then B’s expenditure is:
1. Rs. 1,250
2. Rs. 5,000
3. Rs. 6,250
4. Rs. 11,250

Answer 1

Correct Answer - Option 2 : Rs. 5,000

Let the annual income of Mr. X and Mr. Y be Rs. 9x and Rs. 8x respectively.

Also, let their expenditures be Rs. 5y and Rs. 4y respectively.

Both individually save Rs. 5,000

Savings for Mr. X : 9x – 5y = 5000 ... (i)

Savings for Mr. Y : 8x – 4y = 5000 ... (ii)

Solving (i) and (ii), x = 1250 and y = 1250

[9x – 5y = 5000] ⨯ 4 ... (i)

[8x – 4y = 5000] ⨯ 5 ... (ii)

36x - 20y = 20000 …. (i)

40x - 20y = 25000 ……(ii)

On solving we get,

x = 1250 and y = 1250

∴ B’s expenditure = 4y = 4 ⨯ 1250 = 5,000

Hence, ‘5000’ is the correct answer.