AAPL wrote:P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share. If D persons cancel their trip thus failing to pay their share, which of the following represents the additional number of dollars per person that each remaining person must pay in order to still rent the van?
A) Dx
B) x/(P −D)
C) Dx/(P −D)
D) Dx/(P(P −D))
E) x/(P(P −D))
Let x = $10 and P = 10 people.
Since 10 people plan to split the $10 cost, the expected cost per person = (total cost)/(number of people) = 10/10 = $1.
Let D=9, implying that 9 of the 10 people cancel, with the result that the one remaining person must pay the entire $10.
Since the one remaining person must pay $10 instead of $1, the increase in the cost for this person = $9.
Now plug x=10, P=10 and D=9 into the answers to see which yields the additional amount paid by the one remaining person ($9).
Only
D works:
Dx/[(P(P -D)] = (9*10)/[(10)(10-9)] = 9.
The correct answer is
D.
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