A can do a piece of work in 8 days and B alone can do the same work in 10 days A and B agreed to do ...........

Quantitative Aptitiude (CLAT) Time and work

A can do a piece of work in 8 days and B alone can do the same work in 10 days. A and B agreed to do the work together for Rs. 720. With the help of C, they finished the work in 4 days. How much C is to be paid?

Rs. 80

Rs. 82

Rs. 72

Rs. 70

Explanation:

A gets the work done in 8 days andB in 10
LCM =40 (work) But ABC together can do the work in 4 days Therefore work/ time = rate = 40/4 = 10,
But sum of rates of A and B = 9,so rate of C = 10-9 = 1,
and the money will get divided on the basis of their rates which are A= 5, B = 4, C= 1 * ans 72 *