Multiple choice

A and B undertake to do a piece of work for Rs. 400. A alone can do it in 24 days while B alone can do it in 30 days with the help of C they finish the work in 12 days. How much should 'C' get for his work ? A तथा B किसी कार्य को 400 रू. में करने के लिए तैयार होते है। । उसी कार्य को A अकेले 24 दिनो में जबकि B अकेले उसी कार्य को 30 दिनों में कर सकता है। C की सहायता से वे कार्य को 12 दिनों में समाप्त करते है तो C को उसके कार्य के लिए कितना मिलेगा।

  1. Rs. 40

  2. Rs. 200

  3. Rs. 360

  4. Rs. 100

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A's work rate is 1/24 per day, B's rate is 1/30 per day. With C, their combined rate is 1/12 per day. Therefore C's rate is 1/12 - 1/24 - 1/30 = 1/120. The payment ratio A:B:C = 5:4:1 (multiplying each rate by 120), so C gets 1/10 of Rs. 400 = Rs. 40. Option B (Rs. 200) is incorrectly using C's work rate directly without proper ratio setup.