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
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