Multiple choice

A, B and C, each of them working alone, can complete a job in 5, 6 and 10 days, respectively. If all three of them work together to complete a job and earn Rs. 8456, then what will be C's share of the earnings (in Rs.)?

  1. 2000

  2. 1440

  3. 1812

  4. 1224

  5. 1621
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work rates: A=1/5, B=1/6, C=1/10. Ratio of work = 6:5:3. Total parts = 14. C's share = (3/14) * 8456 = 1812.

AI explanation

The ratio of work done by A, B and C in one day is 1/5 : 1/6 : 1/10, which simplifies to 6:5:3 by taking the least common multiple of 30. The total parts of earnings are 14, making C's share 3/14 of the total Rs. 8456. Calculating C's share gives 8456 * 3 / 14 = 1812.

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