Multiple choice

Three persons undertake to complete a piece of work for Rs.1,200. 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?

  1. Rs.180

  2. Rs. 200

  3. Rs. 225

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

First, calculate each person's daily work capacity: Person 1 = 1/8, Person 2 = 1/12, Person 3 = 1/16. In 3 days, they complete 3×(1/8 + 1/12 + 1/16) = 3×(13/48) = 39/48 of the work. The fourth person contributed 1 - 39/48 = 9/48 = 3/16 of the total work. Therefore, the fourth person gets (3/16)×1200 = Rs. 225.

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