Multiple choice

A, B and C gets a total wage of Rs.3600 if they work together. A and B gets a total wage of Rs. 2800 if they work together and A alone gets Rs.1600. Find the efficiency ratio of A, B and C.

  1. 1:2:3

  2. 2:4:3

  3. 4:3:2

  4. 2:5:4

  5. 1:5:3
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C Correct answer
Explanation

A+B+C = 3600, A+B = 2800, A = 1600. B = 2800 - 1600 = 1200. C = 3600 - 2800 = 800. Ratio A:B:C = 1600:1200:800 = 4:3:2.

AI explanation

Since wages are distributed in proportion to work done, the efficiencies are proportional to the wages. The efficiency of A is given as Rs. 1600. The efficiency of A and B together is Rs. 2800, so B's efficiency is 2800 minus 1600, which equals 1000. The total efficiency of A, B and C is Rs. 3600, so C's efficiency is 3600 minus 2800, which equals 800. The ratio of their efficiencies A:B:C is 1600:1000:800, which simplifies to 4:3:2 when divided by 400.

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