The incomes of two persons P and Q are in the ratio 5 : 6. If each of them saves ₹ 200 per month, the ratio of their expenditures is 3 : 4. Find the income of Q.

Ratio of expenditure of P and Q = 3 : 4

Let the expenditure of P and Q are 3a and 4a respectively

Both of them save ₹ 200 per month

Ratio of income of P and Q = 5 : 6

$$\Rightarrow$$ $$\frac{200+3a}{200+4a}=\frac{5}{6}$$

$$\Rightarrow$$ $$1200+18a=1000+20a$$

$$\Rightarrow$$ $$2a=200$$

$$\Rightarrow$$ $$a=100$$

$$\therefore\ $$Income of Q = Savings + Expenditure = 200 + 4a = 200 + 4(100) = 200 + 400 = ₹ 600

Hence, the correct answer is Option D