A machine that cost £35,000 is operated 8 hours a day in a 5-day week but one hour each day is used for test purposes. For use of the machine there are three scales of charges, the first at the rate of £5 an hour for private use, the second at £15 an hour for research work and the third at £40 an hour for commercial work. It is estimated that the number of hours charged at the first, second and third rates are in ratios 4:2:1. What percentage of total receipts do receipts from commercial work represent?

Question

Noel Lara

Mathematics

15 August, 14:34

A machine that cost £35,000 is operated 8 hours a day in a 5-day week but one hour each day is used for test purposes. For use of the machine there are three scales of charges, the first at the rate of £5 an hour for private use, the second at £15 an hour for research work and the third at £40 an hour for commercial work. It is estimated that the number of hours charged at the first, second and third rates are in ratios 4:2:1. What percentage of total receipts do receipts from commercial work represent?

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Mckenna Hull · Answer 1

Charges for private use in particular week=4*5*5=100

Charges for research work in particular week=2*15*5=150

Charges for commercial work in a particular week=1*40*5=200

Total charges in a particular week=100+150+200=450

Percentage of charges of commercial work in total receipts = (200/450) * 100=44.4%