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Select the correct answerThree persons undertake to complete a piece of work of 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 help of a fourth person in 3 days. What does the fourth person get?OptionsRs.200Rs.180Rs.225Rs.250

Question

Select the correct answerThree persons undertake to complete a piece of work of 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 help of a fourth person in 3 days. What does the fourth person get?OptionsRs.200Rs.180Rs.225Rs.250

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Solution

To solve this problem, we first need to find out the total work done by the first three persons in one day.

  1. The first person can complete the work in 8 days, so he does 1/8 of the work in one day.
  2. The second person can complete the work in 12 days, so he does 1/12 of the work in one day.
  3. The third person can complete the work in 16 days, so he does 1/16 of the work in one day.

Adding these together, we find that the three of them can do (1/8 + 1/12 + 1/16) = 15/96 of the work in one day.

Since they complete the work in 3 days with the help of a fourth person, this means that the total work done in one day is 1/3.

Therefore, the work done by the fourth person in one day is (1/3 - 15/96) = 17/96.

The total payment for the work is Rs.1,200, so the payment for the work done by the fourth person is (17/96)*1200 = Rs. 212.50.

However, this is not one of the options given. It seems there might be a mistake in the problem or the options provided.

This problem has been solved

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