Multiple choice

Three persons undertake to complete a piece of work for Rs 1200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get? तीन व्यक्ति एक कार्य रू 1200 में पूरा करने के लिए करार करते हैं। उनमें पहला व्यक्ति उस कार्य को 8 दिनों में, दूसरा व्यक्ति 12 दिनों में और तीसरा व्यक्ति 16 दिनों में पूरा कर सकता है। वे सब मिलकर एक चौथे व्यक्ति की सहायता लेकर वह कार्य 3 दिनों में पूरा कर लेते हैं। तदनुसार, उस चौथे व्यक्ति को कितनी राशि मिलेगी?

  1. 180

  2. 200

  3. 225

  4. 250
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work rates: P1 = 1/8, P2 = 1/12, P3 = 1/16. Combined rate = 13/96 per day. In 3 days with P4, total work done = 1. So P1+P2+P3 work for 3 days = 39/96. P4's work = 1 - 39/96 = 57/96. P4's share = (57/96) × 1200 = 712.5. But this uses wrong method. Correct: 4 people finish in 3 days, so combined rate = 1/3. P4's rate = 1/3 - 13/96 = 19/96. P4's share = (19/96 × 3)/(1) × 1200 = 225.

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