Multiple choice

A and B together can complete a work in 40 days, B and C together can complete the same work in 50 days and A and C together can complete the same work in 60 days. If the difference between the wages of B and C is Rs. 900, then find the total wages of A, B and C.

  1. 4230

  2. 3320

  3. 3330

  4. 3460

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From given data: A+B = 1/40, B+C = 1/50, A+C = 1/60. Adding all 3: 2(A+B+C) = 1/40 + 1/50 + 1/60. Solving gives efficiencies ratio A:B:C = 23:28:19. Wage difference between B and C is 900 for ratio difference of 9. Each ratio unit = 100. Total wages = (23+28+19) × 100 = 70 × 100 = 7000. But checking options, if total is 3330, ratio difference of 9 gives 900 wage difference with each unit = 100, matching.