The incomes of A and B are in the ratio 5 : 4 and their expenditures are in the ratio 3 : 2. If each of them saves ₹1,600, what is A's income?
A. ₹5000
B. ₹4800
C. ₹3200
D. ₹4000
A. ₹5000
B. ₹4800
C. ₹3200
D. ₹4000
Best answer
Answer: D. ₹4000
Answer: (D) ₹4000
Let incomes be 5x, 4x and expenditures 3y, 2y. Then 5x − 3y = 1600 and 4x − 2y = 1600.
From the second, y = 2x − 800. Put it in the first: 5x − 6x + 2400 = 1600, so x = 800.
A's income = 5 × 800 = ₹4000.
Quick check: A spends 3 × 800 = 2400 and saves 1600.
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