Bissoy.com
Doctors Medicines MCQs Q&A

A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is ?

A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is ? Correct Answer Rs. 50

L.C.M. of Total Work = 45
One day work of A = $$\frac{{45}}{{5}}$$ = 9 unit/day
One day work of B = $$\frac{{45}}{{15}}$$ = 3 unit/day
One day work of A + B + C = $$\frac{{45}}{{3}}$$ = 15 unit/day
$$\eqalign{ & {\text{Efficiency of C}} \cr & = 15 - \left( {9 + 3} \right) \cr & = 3 \cr & {\text{C's amount}} \cr & = \frac{{250}}{{15}} \times 3 \cr & = {\text{Rs}}{\text{. 50}} \cr} $$

Related Questions

A and B undertake a piece of work for Rs.250 . A alone can do that work in 5 days and B alone cando that work in 15 days . With the help of C, they finish thework in 3 days . If every one gets paid in proportion towork done by them, the amount C will get is
‘P’ taken 16 days to finish a piece of work. ‘Q’ takes 24 days to finish the same piece of work.  'R' takes 48 days to finish the same piece of work. How many days will all three of them together take to finish the same piece of work?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A can do a piece of work in 10 days and B can do the same work in 15 days. They start working together and after 4 days, A left the work. Find in how many days the total work will be completed. Quantity B: P can do a piece of work in 15 days and Q can do the same work in 25 days. They start working together and after 5 days, Q left the work. Find in how many days the remaining work will gets completed.
A and B undertake a piece of work for Rs. 4500. A alone can do it in 10 days and B alone can do it in 30 days. With the help of C, they finish it in 5 days. How much Cs would be paid for the work?
When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?
A can finish the work in 9 days, B can finish the same work in 15 days, with the help of C they together can finish the work in 5 days. Find in how many days can C finish the work alone?
In the following question, two statements are numbered as Statement I and II. On solving these statements we get Quantity A and B respectively. Solve the given statements for both quantities and choose the correct option. Statement I: 5 men can finish work in 25 days. After 12 days, 2 workers have fallen sick. How much approximate time does it take to finish the work by remaining workers? Statement II: 12 men can finish a work in 28 days and 10 women can finish the same work in 30 days. What is the approximate time taken by 7 men and 5 women to finish this work?
X women can finish a work in 2Y days. 1.5X men can finish that same work in Y days and 3X children can finish the same work in 2Y days. 8 Men, 8 Women and 8 children can finish a work in 45/2 days. 9 men can finish the same in Y + 20 days. What is the value of X, Y?
A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn i.e., first day A does it alone, B does it the second day and C the third day. After that A does it for another day, and so on. After finishing the work they get Rs. 240. If the wages are divided in proportion to the work done by them, find what each will get ?
A can finish a piece of work in a certain number of days. B takes 45% more number of days to finish the same work independently. They worked together for 58 days and then the remaining work was done by B alone in 29 days. In how many days could A have completed the work, had he worked alone?