Re: A pack of fruits has 100 units and its total cost is $117.5. If 17% of
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16 Jul 2019, 21:07
A pack of fruits has 100 units and its total cost is $117.5. If 17% of fruits in a pack are rotten, at least what is the unit selling price to earn a total profit of $90?
A. $2.2
B. $2.3
C. $2.4
D. $2.5
E. $2.6
Correct answer D
Out of 100 units, if 17% are rotten, then there are only 83 units remaining that could be sold.
On a cost of $117.5, to make a profit of $90, the total revenue from the sale of 83 units should be atleast 117.5 + 90 = 207.5.
83 * X >= 207.5, where X is the selling price of each unit
Hence, X >= 207.5/83 --> X >= 2.5
(Since division of 207.5/83 is not straight forward, at this point you could also use back solving by trying to pick the numbers from answer choices and multiplying with 83 to check if the total is greater than or equal to 207.5. Starting with D helps because 2.5 is easier to multiply with 83)