Multiple choice

P, Q and R completed a piece of work and earned Rs. 2100 in total. P worked for 6 days, Q worked for 4 days and R worked for 9 days. If their daily wages were in the ratio 5 : 6 : 4, then how much money was received by P?

  1. Rs. 700

  2. Rs. 560

  3. Rs. 840

  4. Rs. 1000

  5. Rs. 900
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A Correct answer
Explanation

Total earnings are proportional to (days * wage_rate). P: 6*5=30, Q: 4*6=24, R: 9*4=36. Total units = 30+24+36 = 90. P's share = (30/90) * 2100 = 700.

AI explanation

The total earnings are divided in the ratio of the work done, which is the product of the days worked and their daily wages. The ratio of their earnings is (6 * 5) : (4 * 6) : (9 * 4), simplifying to 30 : 24 : 36 or 5 : 4 : 6. The total parts in this ratio are 5 + 4 + 6 = 15, and P's share is 5 parts out of the total Rs. 2100. P's earnings are (5 / 15) * 2100 = Rs. 700.

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