Multiple choice

Ram can do a piece of work in 6 days, and Vinod can do the same piece of work in 8 days. If Ram and Vinod work together and earn Rs. 4200, how much will Ram get?

  1. Rs. 3400

  2. Rs. 3250

  3. Rs. 2400

  4. Rs. 2750
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work ratio is inverse of time ratio. Ram:Vinod = 1/6 : 1/8 = 4:3. Ram's share = 4/7 * 4200 = 4 * 600 = 2400.

AI explanation

Wages are distributed in proportion to the work done, which equals the ratio of their efficiencies (the inverse of their time). The efficiency ratio of Ram to Vinod is 1/6 to 1/8, which simplifies to 4:3. Ram's share is 4 parts out of the total 7 parts, so his earnings are 4/7 of Rs. 4200. Calculating 4/7 of 4200 gives Rs. 2400.

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