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Select the correct answerA and B can do a piece of work in 6 days and 8 days, respectively. With the help of C, they completed the work in 3 days and earned Rs.1,848. What was the share of C?OptionsRs.924Rs.462Rs.231Rs.693

Question

Select the correct answerA and B can do a piece of work in 6 days and 8 days, respectively. With the help of C, they completed the work in 3 days and earned Rs.1,848. What was the share of C?OptionsRs.924Rs.462Rs.231Rs.693

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Solution

To solve this problem, we first need to find the rates at which A, B, and C work.

  1. A can complete the work in 6 days, so A's work rate is 1/6 of the work per day.
  2. B can complete the work in 8 days, so B's work rate is 1/8 of the work per day.
  3. Together, A, B, and C can complete the work in 3 days, so their combined work rate is 1/3 of the work per day.

We can find C's work rate by subtracting the work rates of A and B from the combined work rate.

So, C's work rate is 1/3 - 1/6 - 1/8 = 1/24 of the work per day.

The total payment for the work is Rs.1,848, which should be divided among A, B, and C according to their work rates.

So, C's share of the payment is (C's work rate) / (combined work rate) * total payment = (1/24) / (1/3) * 1848 = Rs.231.

Therefore, the correct answer is Rs.231.

This problem has been solved

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