Multiple choice

Akashi can do a work in 6 days while Barack can do the same work in 8 days. They both decided to do the work for Rs. 2400. With the help of Charlie, they completed the work in 3 days. How much is to be paid to Charlie?

  1. Rs. 100

  2. Rs. 300

  3. Rs. 400

  4. Rs. 800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Akashi's rate = 1/6, Barack's rate = 1/8. Combined rate = 1/6 + 1/8 = 7/24. In 3 days, they do 3 * (7/24) = 7/8 of the work. Charlie does 1 - 7/8 = 1/8 of the work. Charlie's pay = (1/8) * 2400 = 300.

AI explanation

Using the least common multiple method, let the total work be 24 units. Akashi's efficiency is 4 units per day, Barack's is 3 units per day, and their combined efficiency with Charlie is 8 units per day. Charlie's efficiency is 8 minus 7, which is 1 unit per day, making his work share 1 out of the 8 total units. The payment is calculated as 1 divided by 8 times Rs.2400, which equals Rs.300.

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