Question

# A contractor needs to complete a given work in 24 days. For every day that he finishes ahead of time, he gets an incentive 'I' and for every day that he finishes behind time, he needs to pay a penalty 'P'. He has a choice of two workers who work as follows: A completes the work in 24 days for 75% of the time and in 30 days for 25% of the time. B comlpetes the work in 20 days for 60% of the time and in 30 days for 40% of the time. At what ratio of P to I will the conctractor be indifferent of using A or B?

A
83
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B
2
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C
73
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D
74
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Solution

## The correct option is C 8324 days, 75% of time no incentive In 30 days 25% of time Penalty of 6P Net chances = 34×0+14× 6P=32P For 20 days for 60% of the time Incentive = 4I 30 days for 40% of time Penalty = 6P 610×4I−410× 6P=−32P 125I=125P−32P 125I=9P PI=12045 = 249 = 83

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