Multiple choice

Three persons undertake to complete a piece of work for Rs.1350. The first person can complete the work in 6 days, second person in 9 days and third person in 12 days. They complete the work with the help of fourth person in 2 days. Then find the fourth person get how much money.

  1. 355 Rs.

  2. 375 Rs.

  3. 275 Rs.

  4. 475 Rs.

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's 1-day work = 1/6, B's = 1/9, C's = 1/12. In 2 days, A+B+C complete 2(1/6 + 1/9 + 1/12) = 2(6/36 + 4/36 + 3/36) = 2(13/36) = 13/18 of work. Remaining 5/18 is done by fourth person. Fourth person's share = (5/18) × 1350 = Rs 375. This is based on work contribution proportion.

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