Multiple choice

A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share?

  1. Rs.450

  2. Rs.600

  3. Rs.500

  4. Rs.300
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Work done in 1 day: A=1/6, B=1/8, C=1/12. Ratio of work = 1/6 : 1/8 : 1/12 = 4:3:2. Total parts = 4+3+2 = 9. B's share = (3/9) * 1800 = 600.

AI explanation

Using the LCM method, let the total work be the least common multiple of 6, 8, and 12, which is 24 units. A completes 4 units per day, B completes 3 units per day, and C completes 2 units per day, making their combined efficiency 9 units per day. The ratio of their daily work is 4 to 3 to 2, meaning B's share of the payment is 3 divided by 9, or 1/3 of the total money. Multiplying 1/3 by the total payment of Rs.1800 results in B's share of Rs.600.

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