A alone can complete a piece of work in 18 days and B alone can complete the same work in 24 days. A and B undertook the work for Rs. 22500. They took the help of C and completed the work in 8 days. How much is to be paid to A?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Rs. 10000.
Given:
A alone can complete a piece of work in 18 days
B alone can complete the same work in 24 days
A and B undertook the work for Rs. 22500
They took the help of C and completed the work in 8 days
Concept Used:
Total work = Efficiency × Time Taken
Calculations:
Total work (LCM of 18, 24, and 8) = 72 units
Efficiency of A = 72/18 = 4 units
Efficiency of B = 72/24 = 3 units
Efficiency of (A + B + C) = 72/8 = 9 units
Amount paid to A = (22500/9) × 4 = Rs 10000