Multiple choice

P and Q can complete a piece of work in 15 days and 10 days, respectively. They are awarded a contract to complete the work for Rs. 30,000. The share of P in the money paid will be

  1. Rs. 18,000

  2. Rs. 16,000

  3. Rs. 12,500

  4. Rs. 12,000

  5. Rs. 15,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

P's work rate = 1/15, Q's work rate = 1/10. Ratio of work = 1/15 : 1/10 = 2 : 3. P's share = (2/5) * 30000 = 12000.

AI explanation

Wages are always distributed in proportion to the actual work done by each person. Since P takes 15 days and Q takes 10 days to complete the work alone, their efficiency ratio is the inverse of their time ratio, which is 10 to 15 or 2 to 3. The total money of Rs. 30,000 is divided into 5 parts, making each part Rs. 6,000. P's share is 2 parts, which equals Rs. 12,000.

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