A can complete 3/4th of the work in 9 days, and B can complete 2/5th of the work in 12 days. With the help of C, all three together complete the whole work in 60/11 days and earn Rs. 330. If money is shared in the ratio of work done, then find the difference in the share of C and the share of A.
Show answer & explanation
Correct answer: B
Explanation
The Correct answer is option 2 i.e. Rs. 30
Given:
Time taken by A to complete 3/4th of the work = 9 days
Time taken by B to complete 2/5th of the work = 12 days
A, B and C together can complete the whole work in 60/11 days.
Earnings of A, B and C = Rs. 330
Concept Used:
Total work done = Efficiency × Time
The share of earnings is distributed in the ratio of respective efficiencies.
Explanation:
According to the given question,
A can complete 3/4th of the work in 9 days
A can complete whole work in = 9 × (4/3) = 12 days
B can complete 2/5th of the work in 12 days
B can complete whole work in = 12 × (5/2) = 30 days
Let the total work done by A, B and C be LCM (12, 30, 60) = 60
The efficiency of A (60/12) = 5
The efficiency of B (60/30) = 2
The efficiency of A + B + C (60/(60/11)) = 11
The efficiency of C = 11 - (5 + 2)
⇒ 11 - 7 = 4
Rs. 330 is divided by A, B, and C in the ratio of 5 : 2 : 4
So, 11 units= Rs. 330
1 units = 330/11 = Rs. 30
Hence, the difference of the amount of A and C is (5 - 4) × 30 = Rs. 30