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The incomes of A and B are in the ratio 3 : 2 and their expenditure are in ratio 5 : 3. If each saves Rs. 1000, then, A’s income can be:

a) Rs. 3000
b) Rs. 4000
c) Rs. 6000
d) Rs. 9000

Answer: c
Explanation: Let income of A and B be 3x and 2x respectively. Also, their expenditure is 5y and 3y.
3x – 5y = 1000 ——- (i) × 3
2x – 3y = 1000 ———- (ii) × 5
9x – 15y – 10x + 15y = 3000 – 5000
-x = -2000
x = 2000
Then, income of A = 3x = 3 × 2000 = Rs. 6000

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