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 are in the ratio 5 : 3. If each saves Rs. 1000, then A’s income is

1. Rs. 6000
2. Rs. 4000
3. Rs. 2000
4. Rs. 5000

Correct Option: A

Let incomes of A and B be Rs. 3x and Rs. 2x respectively. Let the expenditures of A and B be Rs. 5y and Rs. 3y respectively.
According to the question,
3x – 5y = Rs. 1000 .... (i)
2x – 3y = Rs. 1000 .... (ii)
By equation (i) × 2 – (ii) × 3,

∴ y = 1000
From equation (i),
3x – 5 × 1000 = 1000
⇒ 3x = 1000 + 5000 = Rs. 6000
= A’s income