P, Q and R can do a piece of work in 12 days, 15 days and 20 days respectively. They start the work together but after 2 days P left the work, after further 3 days R left the work and the remaining work was done by Q. If they got Rs.5400 for the whole work, then find the share of Q?
Answer & explanation
Correct answer: option 4
Work done by P in 2 days = 5 × 2 = 10
Work done by R in 5 days = 3 × 5 = 15
Remaining work done by Q = 60 - 10 - 15 = 35
So,
P : Q : R
Work: 10 : 35 : 15
Work: 2 : 7 : 3
Wages: 2 : 7 : 3 = 12R
*Ratio of work is directly proportional to wages*
ATQ,
12R = 5400
1R = 450
Thus, Q's share = 7 × 450 = Rs.3150