Bunuel wrote:
A bicycle store purchased two bicycles, one for $250 and the other for $375, and sold both bicycles at a total gross profit of $250. If the store sold one of the bicycles for $450, which of the following could be the store's gross profit from the sale of the other bicycle?
A. $75
B. $100
C. $125
D. $150
E. $175
We can assume that the $375 bicycle is sold for $450. So the profit on this bicycle is 450 - 375 = $75. Since the total profit is $250, the other bicycle must be sold for a profit of 250 - 75 = $175.
Alternate Solution:
The total cost of the bicycles to the store is 250 + 375 = $625.
Since the total profit is $250, the sum of the sale prices of the bicycles is 625 + 250 = $875.
Since one of the bicycles sold for $450, the other sold for 875 - 450 = $425.
If the bike costing $250 is sold for $425, the profit is 425 - 250 = $175.
If the bike costing $375 is sold for $425, the profit is 425 - 375 = $50.
$175 is among the answer choices, thus the answer is E.
Answer: E
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