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Three persons' incomes are in the ratio 3 : 4 : 5. If each income goes up by Rs. 2000, the ratio becomes 5 : 6 : 7. What was the original income of the person who earned the least?

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

Correct answer: Rs. 3000

Solution

Let incomes be 3x, 4x, 5x. After +2000 each, (3x+2000):(4x+2000) = 5:6 gives 18x + 12000 = 20x + 10000, so x = 1000. The lowest income = 3x = 3000.

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