Multiple choice

Pankaj can produce one unit in 15 days, while Bharti can do the same in 12 days. After producing one unit, working together, they received Rs. 90, which they distributed amongst themselves in proportional to their efficiency. If they work for 20 days, and sell the produce, then Bharti should receive

  1. 150

  2. 160

  3. 170

  4. 180

  5. 190
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A Correct answer
Explanation

Efficiency is inversely proportional to time. Pankaj's rate is 1/15, Bharti's is 1/12. Ratio of efficiencies = (1/15) : (1/12) = 4:5. Total parts = 9. Bharti's share of 90 is (5/9) * 90 = 50 per unit. For 20 days, they produce 20/15 + 20/12 = 4/3 + 5/3 = 3 units. Total earnings = 3 * 90 = 270. Bharti's share = (5/9) * 270 = 150.

AI explanation

Since Pankaj and Bharti produce units in 15 and 12 days respectively, their efficiency ratio is the inverse of their times, which is 12 to 15 or 4 to 5. Over a period of 20 days, Pankaj completes 20 divided by 15 units and Bharti completes 20 divided by 12 units, making their total production 3 units. Assuming the Rs. 90 rate applies to the 3 units sold, the total earnings are Rs. 270. Bharti's share of these earnings is her 5 parts out of the 9 total efficiency parts, so multiplying 270 by 5 and dividing by 9 gives her Rs. 150.

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