Question
Download Solution PDFA and B undertake to do a job for Rs. 6,000. A can do it in 10 days and B can do it in 12 days. With the assistance of C, they finish the work in 4 days. How much should C be paid for his work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:-
A can do a work in 10 days
B can do a work in 12 days
they undertake to do job for Rs. 6000
Concept used:-
Efficiancy concept related to work and time.
Total work = LCM(Time taken by all individual)
Calculation:-
Total work = LCM(10, 12)
Total work = 60 units
Rs. per unit = 6000/60 = 100 Rs. per unit
∴ A's per day work = 60/10 = 6 units
A's per day income = 6 × 100 = Rs. 600
B's per day work = 60/12 = 5 units
B's per day income = 5 × 100 = Rs. 500
Let C's per day work = x units
According to Question-
⇒ (6 × 4) + (5 × 4) + (x × 4) = 60
⇒ 24 + 20 + 4x = 60
⇒ 4x = 60 - 44
⇒ x = 16/4
⇒ x = 4 units
C's per day income = 4 × 100 = Rs. 400
∴ C should be paid for work = 400 × 4 = Rs.1600
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