Multiple choice

Direction : Study the following questions carefully and choose the right answer. Amar, Akbar and Anthony take up a task to finish for Rs. 876. Amar completes his assignment in 4 days, Akbar does it in 8 days and Anthony takes 12 days to finish it. They complete the work with the help of there mother Nirupama in 2 days. What does Nirupama get?

  1. Rs. 307

  2. Rs. 73

  3. Rs. 75

  4. Rs. 267

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

Their combined work rate is 1/4 + 1/8 + 1/12 = 11/24 of the task per day. In two days they complete 11/12 of the task, leaving Nirupama to complete 1/12. Her share is therefore Rs. 876/12 = Rs. 73.

AI explanation

The sum of the daily work of Amar, Akbar, and Anthony is 1/4 + 1/8 + 1/12, which equals 11/24 of the task per day. Since all four complete the work in 2 days, their combined daily work is 1/2, leaving Nirupama's daily work as 1/2 minus 11/24, which equals 1/24. Nirupama's share is her efficiency ratio (1/24) divided by the total family efficiency (1/2), resulting in 1/12 of the total 876 rupees, which equals 73 rupees.

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