Multiple choice

A agrees to complete a piece of work in 6 days for Rs.300, but engaging an assistant the work is completed in 4 days. Then the share received by the assistant is:

  1. Rs. 200

  2. Rs. 250

  3. Rs.150

  4. Rs.100
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A's rate is 1/6 work/day. With assistant, rate is 1/4 work/day. Assistant's rate = 1/4 - 1/6 = 1/12 work/day. In 4 days, assistant does 4/12 = 1/3 of the work. Share = 1/3 * 300 = 100.

AI explanation

Using the basic proportionality method for wages, wages are distributed in proportion to the fraction of work completed. The assistant joins to complete the work in 4 days instead of 6, meaning the assistant's share is based on the 2 days of work saved. The assistant completes 2 out of the 6 days of work, which is 1/3 of the total job. Therefore, the assistant's share is 1/3 of Rs.300, which equals Rs.100.

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