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The incomes of three people are in the ratio 3:4:5. If each income increases by Rs. 2000, the new ratio becomes 5:6:7. What was the original income of the lowest earner?

1. Rs. 2000
2. Rs. 3000
3. Rs. 4000
4. Rs. 5000

Correct answer: Rs. 3000

Solution

Let the incomes be 3x, 4x, and 5x. After adding 2000, they become 3x+2000, 4x+2000, and 5x+2000 in the ratio 5:6:7. Solving gives x = 1000, so the lowest income is 3x = Rs. 3000.

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