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An electronics store purchased a CD player at a

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by NandishSS » Mon Dec 19, 2016 10:37 pm
An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price. If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A. 10%
B. 12%
C. 15%
D. 18%
E. 20%

OA:B

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Source: — Problem Solving |

by Jay@ManhattanReview » Mon Dec 19, 2016 11:08 pm
NandishSS wrote:An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price. If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A. 10%
B. 12%
C. 15%
D. 18%
E. 20%

OA:B

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Let the retail price be $x.

We are given that the wholesale price = $60.

Also, the selling price = x - 40% of x = 60% of x = 0.6x

=> Profit percent on wholesale price = [(0.6x - 60)/60]*100% = 25%

=> (0.6x - 60) = (1/4)*60 => x = 125

=> Profit percent on retail price = [(0.6*125 - 60)/125]*100% = [(75 - 60)/125]*100% = [(15)/125]*100% = 12%.

OA: B

-Jay

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by [email protected] » Tue Dec 20, 2016 1:34 pm
Hi NandishSS,

Since the answer choices in this question are relatively close together, you have to be careful about the math 'work' that you do - and make sure that you label all of your work so that you don't get lost in all of the details in this prompt...

We're told that a CD player had a wholesale price of $60 and that it was sold at 40% off the RETAIL PRICE...

Retail Price = X
Wholesale Price = 60
Actual Sell Price = X - .4X = .6X

The store made a 25% profit on the WHOLESALE price, so...

Actual Sell Price = 60 + .25(60) = 60 + 15 = 75
.6X = 75
X = 75/.6 = 750/6 = 125

So....
Retail Price = $125
Wholesale Price = $60
Actual Sell Price = $75
Profit = $15

We're asked for the PROFIT as a percent of the RETAIL PRICE... (15)/(125) = 3/25 = 12%

Final Answer: B

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by GMATGuruNY » Wed Dec 21, 2016 8:29 am
NandishSS wrote:An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price. If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A. 10%
B. 12%
C. 15%
D. 18%
E. 20%
Since the answer choices are PERCENTS, the given price can be ignored.
We can plug in ANY VALUES that satisfy the relationships in the problem.
The resulting percentage in each case will be the same.

Let R = the retail price, S = the selling price, and W = the wholesale price.

Let R = 100.
Since the CD player was sold at a 40% discount, S = 100 - (40% of 100) = 100-40 = 60.

Since the $60 selling price enables the store to make a 25% profit on the wholesale price, the $60 selling price is 125% of the wholesale price:
60 = (125/100)W
60 = (5/4)W
240 = 5W
W = 48.

Profit = (selling price) - (wholesale price) = 60-48 = 12.
Thus:
(profit)/(retail price) = 12/100 = 12%.

The correct answer is B.
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by Jeff@TargetTestPrep » Tue Jan 03, 2017 4:50 pm
NandishSS wrote:An electronics store purchased a CD player at a wholesale price of 60$ and then sold it at a 40 percent discount off the original retail price. If the store made a 25 percent profit on the whole price of the CD player, what was the stores profit as a percent of the original retail price?

A. 10%
B. 12%
C. 15%
D. 18%
E. 20%
We are given that the cost of the CD player was 60 dollars and that the store sold it at a 40 percent discount off the original retail price. If we let x = the original retail price, then the store sold the CD player for 0.6x dollars. Since the store made a 25% profit on the wholesale price, it made 0.25(60) = 15 dollars of profit. Since revenue - cost = profit, we can create the following equation:

0.6x - 60 = 0.25(60)

0.6x - 60 = 15

0.6x = 75

x = 125

So the profit as a percent of the original retail price is:

15/125 x 100 = 0.12 x 100 = 12 percent.


Answer: B

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