a alone can do a work in 12 days b alone in 10 days. a and b undertook to do it for rs 4000.with the help of c, they completed the work in 3 days, how much is to be paid to c?
Answers
Given :-
- A alone can do a work in 12 days .
- B alone in 10 days.
- A and B undertook to do it for Rs. 4000.
- With the help of C, they completed the work in 3 days.
To Find :-
- How much is to be paid to C ?
Solution :-
→ LCM of 12 , 10 and 3 = 60 units = Let total work .
so,
→ Efficiency of A = Total work / days = 60/12 = 5 units/day.
→ Efficiency of B = Total work / days = 60/10 = 6 units/day.
→ Efficiency of (A+B+C) = Total work / days = 60/3 = 20 units/day.
then,
→ Efficiency of C = Efficiency of (A+B+C) - Efficiency of A - Efficiency of B = 20 - 5 - 6 = 20 - 11 = 9 units/day.
we can conclude that,
The payment was given in the ratio of their Efficiency .
therefore,
→ C received = (9/20) * 4000 = Rs.1800 (Ans.)
Hence, Rs.1800 is paid to C .
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