K1 can do a piece of work alone in 4 days, K2 can do the same work alone in 8 days, while K3 can do it alone in 32 days. They work together and complete the work, and receive a total of ₹3900 as payment for doing the work. What is the share of the person who received the maximum amount?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. ₹2,400.
Given:
Time taken by K1 = 4 days
Time taken by K2 = 8 days
Time taken by K3 = 32 days
Earnings of K1, K2 and K3 = ₹3900
Concept Used:
total work done = Efficiency × Time
The earnings are distributed in the ratio of the respective efficiencies.
Explanation:
Let the total amount of work to be done be 32 units
If K1 does it in 4 days, then he would do 8 units per day
If K2 does it in 8 days, then he would do 4 units per day.
If K3 does it in 32 days, then he would do 1 unit per day.
They together will do (8 + 4 + 1) units a day i.e. 13 units per day.
The total amount they will get is Rs. 3900 and this amount would be distributed according to their efficiencies.
The efficiency of K1 is maximum, thus he will get the maximum amount.
His share would be = {3900/13} × 8 = 2400