Question
Three machines P,Q and R were hired by a company for a
month. Machine P runs 18 hours for 15 days, machine Q runs 20 hours for 18 days and machine R runs 24 hours for 32 days. If at the end of the month, the rent amounts to Rs. 58,250. How much ought to be paid for each machine (in Rs.)?Solution
Rent for machine P : Rent for machine Q: Rent for machine R = 18`xx` 15 : 20`xx` 18 : 24`xx` 32 = 45 : 60 : 128 Rent to be paid for machine P = `45/(45+60+128)` × 58,250 = Rs. 11,250 Rent to be paid for machine Q = `60/(45+60+128)` × 58,250 = Rs. 15,000 Rent to be paid for machine R = `128/(45+60+128)` × 58,250 = Rs.32,000
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