Question

A alone can complete a work in 48 days and b alone can complete the same work in 72 days. A, b and c together can complete the same work in 24 days. What will be c's per day payment if he is paid rs. 72000 to complete the entire work alone ? (in rs.)

Answer 1

Answer:

Rs.500/-

Step-by-step explanation:

effeciency of A = 1/48

effeciency of B = 1/72

given combined effeciency of A,B&C together = 1/24

=> effeciency of C alone = 1/24 - (1/48 + 1/72)

                                        = 1/24 - (3/144 + 2/144)

                                        = 1/24 - 5/144

                                        = 6/144 - 5/144

                                        = 1/144

=> No. of days taken by C alone to finish the work = 144 days

payment for the 144 days = Rs. 72000

=> payment of C per day = Rs.72000/144

                                         = Rs.500/-