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P and Q are hired for a project for ₹1200. P starts the work alone; Q joins when 20% of the work is completed. If Q is 1.5 times as efficient as P, calculate Q's total earnings.

1. ₹ 500
2. ₹ 600
3. ₹ 720
4. ₹ 576

Correct answer: ₹ 576

Solution

Let P's efficiency be 1 unit and Q's efficiency be 1.5 units. P does 20% of the work alone, and the remaining 80% is done together in the ratio 1 : 1.5 = 2 : 3. So Q's share of the total work is \(\frac{3}{5}\times 80\% = 48\%\), hence Q earns \(48\%\) of ₹1200 = ₹576.

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