A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 6000 as wages. Find the share of A. MCQ with Answer and Explanation

A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 6000 as wages. Find the share of A.
A. Rs. 2500
B. Rs. 2400
C. Rs. 1800
D. Rs. 2000
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Ratio of wages is equal to ratio of efficiencies = 6 : 5 : 4. Total ratio parts = 6 + 5 + 4 = 15. Share of A = (6 / 15) * 6000 = 6 * 400 = Rs. 2400.

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Practice More Time and Work Questions

Question #1
A can complete a work in 12 days and B in 40 days. If both work together, in how many days will the work be completed?
A. 11.73
B. 16.73
C. 14.23
D. 9.23

Correct Answer: Option D


Explanation:
Combined rate = 1/12 + 1/40. Time = 9.23 days.

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Question #2
15 men can complete a work in 19 days. If 19 men work at the same rate, in how many days will the work be completed?
A. 21.0
B. 17.0
C. 15.0
D. 19.0

Correct Answer: Option C


Explanation:
Total work = 15 × 19 = 285 man-days. Required days = 285/19 = 15.0 days.

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Question #3
A can complete a work in 8 days and B in 29 days. If they work together, the work will be completed in:
A. 6.27
B. 21.27
C. 11.27
D. 16.27

Correct Answer: Option A


Explanation:
Combined rate = 1/8 + 1/29. Required time = 6.27 days.

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