Question

The incomes of two persons P and Q are in the ratio 5 ∶ 6. If each of them saves Rs.200 per month, the ratio of their expenditures is 3 ∶ 4. Find the income of Q.
1. Rs.740
2. Rs.800
3. Rs.750
4. Rs.600

Answer 1

Correct Answer - Option 4 : Rs.600

Given:

Income ratio of P and Q = 5 : 6

Individual savings of P and Q = ₹ 200

Expenditure ratio = 3 : 4

Formula used:

Profit = Investment × Time period

Calculation:

Let income of P be 5x

Let income of Q be 6x

(5x – 200)/(6x – 200) = 3/4

⇒ 20x – 800 = 18x – 600

⇒ 20x – 18x = 800 – 600

⇒ 2x = 200

⇒ x = 100

Income of P = 100 × 5 = 500

Income of Q = 100 × 6 = 600

∴ The income of Q is 600.