A, B and C working alone can do a piece of work in 15, 30, 75 days respectively. They work together and get Rs 1615 for completing the work. What is the difference in shares of A and C?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Rs. 760
Given:
Time taken by A = 15 days
Time taken by B = 30 days
Time taken by C = 75 days
Earnings of A, B and C = Rs. 1615
Concept Used:
Total Work = Efficiency × Time
Earnings are distributed in the ratio of their respective efficiencies.
Explanation:
Let the total work be LCM of (15, 30, 75) = 150 units
Efficiency of A = 150/15 = 10 units/day
Efficiency of B = 150/30 = 5 units/day
Efficiency of C = 150/75 = 2 units/day
The share of A = = 950
The share of C = = 190
The required difference is (950 - 190) = Rs. 760