Multiple choice

A and B undertake to do a piece of work for Rs. 600. A can do it in 10 days and B can do it in 15 days. With the help of C they finish the work in 4 days. How much should C be paid for his contribution? A तथा B किसी कार्य को 600 रू. में करने का ठेका लेते है। A कार्य को 10 दिनों में तथा B 15 दिनों में कर सकता है। यदि वे C की सहायता से कार्य को 4 दिन में समाप्त करते हैं, तो C को उसके कार्य के लिए कितना मिलेगा?

  1. Rs. 180

  2. Rs. 200

  3. Rs. 300

  4. Rs. 240
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B Correct answer
Explanation

A's rate: 1/10 work per day. B's rate: 1/15 work per day. Combined (A+B+C) rate: 1/4 work per day. C's rate = 1/4 - (1/10 + 1/15) = 1/4 - 1/6 = 1/12 work per day. Payment is proportional to work done. C does (1/12 × 4) = 1/3 of total work in 4 days. C receives: 600 × 1/3 = Rs. 200. Option A would be 30% of work, Option C would be 50%, Option D would be 40%.

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