'A' alone can do a piece of work in 10 days and 'B' alone can do it in 15 days. 'A' and 'B' undertook to do the work for ₹42,000. With the help of 'C', they completed the work in 5 days. How much (in ₹) is to be paid to C?
A.21,000
B.7,000✓ Correct
C.14,000
D.15,000
Explanation
LCM(10,15)=30 units total work. A's efficiency=3, B's=2, C's=1 (since A+B+C together complete 30 in 5 days → combined efficiency=6, so C=6−5=1). C's share = (1/6)×42,000 = ₹7,000.
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