Multiple choice

A can do a piece of work in 10 days and B in 5 days. A and B undertook to do it for Rs. 400. With the help of C, they finished it in 2 days. Find the share of C from the remuneration. A एक कार्य को 10 दिन में कर सकता है और B इसे 5 दिन में कर सकता है। A और B इस कार्य को करने के लिए 400 रूपये लेते है। C की सहायता से, वे इसे 2 दिन में पूरा कर लेते है। पारिश्रमिक में C का हिस्सा ज्ञात कीजिए।

  1. Rs./रू. 145

  2. Rs./रू. 135

  3. Rs./रू. 170

  4. Rs./रू. 160
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D Correct answer
Explanation

A's work rate = 1/10, B's work rate = 1/5. Combined rate of A+B = 1/10 + 1/5 = 3/10. With C, they finish in 2 days, so combined rate of A+B+C = 1/2. Therefore C's rate = 1/2 - 3/10 = 2/10 = 1/5. Total work = LCM(10,5,2) = 10 units. A does 1 unit, B does 2 units, C does 2 units in 2 days. C's share = (2/5) × 400 = Rs. 160.

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