The incomes of A and B are in the ratio 3 : 2 and their

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The incomes of A and B are in the ratio 3 : 2 and their expenditures in the ratio 5 : 3. If each saves Rs. 1,000. A's income is ?

1. Rs. 3000
2. Rs. 4000
3. Rs. 6000
4. Rs. 9000

Correct Option: C

Let their incomes be 3x, 2x and expenditures 5y, 3y respectively.
Then, 3x - 5y = 1000 and 2x - 3y =1000.
Solving these equations we get x = 2000, y = 1000
∴ A's income = 3x = Rs.6000