Subject
Quantitative Aptitude
Topic
Time and Work
The number of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?
The number of days in which A and B together can finish a piece of work is 12 days less than the time taken by A alone and 27 days less than the time taken by B alone to finish the work. If A and B completed the work in 15 days with the help of C and got a total compensation of Rs 3000 for the work, then what is the share of C?
ক)
Rs 1000খ)
Rs 600গ)
Rs 750ঘ)
Rs 500Explanation
Let the number of days in which work has been completed by A and B is n then A takes (n + 12) days and B takes (n + 27) days to finish the work. ⇒ n [(n + 12) + (n + 27)] = (n + 12) (n + 27) ⇒ 2n 2 + 39n = n 2 + 39n + 324 ⇒ n 2 = 324 ⇒ n = 18 So, if the total work is 1 unit then the work done by both A and B together in one day is 1/18 unit. So total work done by these two in 15 days = 15/18 = 5/6th of work So the work done by C is = 1/6 th of the total work So the money which C will get =Related questions
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