Multiple choice

A sum of Rs. 2550 was paid for a work which A can do in 32 days, B in 20 days, B & C in 12 days and D in 24 days. What will be the share of C if all the four work together?

  1. 500

  2. 544

  3. 522

  4. 550

  5. 525
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Find individual work rates: A = 1/32, B = 1/20, B+C = 1/12, D = 1/24. From B+C = 1/12 and B = 1/20, we get C = 1/12 - 1/20 = 1/30. Combined rate when all work together = 1/32 + 1/20 + 1/30 + 1/24 = 75/480 = 5/32. C's proportion of work = (1/32)/(5/32) = 16/75. C's share = Rs. 2550 × 16/75 = Rs. 544. Distribution is based on each person's contribution rate relative to the total.

Keep practicing — related questions