Multiple choice

Directions: Solve the following question and mark the best possible option. Amal can complete ajob in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs. 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamals share, in rupees, is

  1. 100

  2. 200

  3. 300

  4. 400
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Amal's rate is 1/10 per day, Bimal's is 1/8 per day, and their combined rate with Kamal is 1/4 per day. Kamal's daily rate is 1/4 - (1/10 + 1/8) = 1/4 - 9/40 = 1/40. Since they work for 4 days, the total work done by Kamal is 4 * (1/40) = 1/10 of the total job, so his share is 1/10 of 1000, which is 100.

AI explanation

Amal's one-day work is 1/10 and Bimal's is 1/8, while their combined work with Kamal is 1/4, so Kamal's one-day work is found by calculating (1/4 - 1/10 - 1/8), which equals 1/40. Since the remuneration is divided in proportion to work done, Kamal's share of the Rs. 1000 is his ratio of work to the total work of 1/4, yielding (1/40) divided by (1/4). Multiplying this 1/10 ratio by 1000 gives Kamal's share as Rs. 100.

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