Bunuel
A merchant sells a certain item for a price that is a whole number of dollars. If the cost of the item to her is $50, then which of the following could be her profit as a percentage of her cost?
(A) 15%
(B) 25%
(C) 33 1/3%
(D) 40%
(E) 75%
Profit = Price - Cost
\(\frac{Profit}{Cost}\) = \(\frac{Price - Cost}{Cost}\) = \(\frac{Price - 50}{50}\)
Now lets make the denominator = 100...So multiply both numerator and denominator by 2
\(\frac{2Price - 100}{100}\)
Now you can equal each answer choice easily with equation above.......You need answer that creates even number to be divided by 2
Choices A, B, & E makes the number ending with 5 odd............Eliminate
Choice C is very clear ..........................................................Eliminate
Only one answer left.
Answer D
Check it
2Price - 100 = 40.........2Price = 140......P= 70...Bingo