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A toy store's gross profit on a computer game was 10%...

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by swerve » Sat Feb 24, 2018 5:50 am
A toy store's gross profit on a computer game was 10% of the cost of the game. If the store increased the selling price of the game from $44 to $46 and the cost of the game remained the same, then the store's gross profit on the game after the price increase was what percent of the cost of the game?

A. 10.5%
B. 11%
C. 12.5%
D. 13%
E. 15%

The OA is E.

Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks.
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Source: — Problem Solving |

by GMATGuruNY » Sat Feb 24, 2018 6:43 am
swerve wrote:A toy store's gross profit on a computer game was 10% of the cost of the game. If the store increased the selling price of the game from $44 to $46 and the cost of the game remained the same, then the store's gross profit on the game after the price increase was what percent of the cost of the game?

A. 10.5%
B. 11%
C. 12.5%
D. 13%
E. 15%
A toy store's gross profit on a computer game was 10% of the cost of the game.
The store increased the selling price of the game from $44.

Since $44 yields 10% profit -- and 44 is 10% more than 40 -- the cost price of the game = 40.

If the store increased the selling price of the game to $46 and the cost of the game remained the same, then the store's gross profit on the game after the price increase was what percent of the cost of the game?
Profit = (new selling price) - (cost price) = 46-40 = 6.
Profit percentage = (profit/cost) * 100 = (6/40) * 100 = 15.

The correct answer is E.
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by Scott@TargetTestPrep » Fri Jun 14, 2019 2:44 pm
swerve wrote:A toy store's gross profit on a computer game was 10% of the cost of the game. If the store increased the selling price of the game from $44 to $46 and the cost of the game remained the same, then the store's gross profit on the game after the price increase was what percent of the cost of the game?

A. 10.5%
B. 11%
C. 12.5%
D. 13%
E. 15%

The OA is E.

Please, can any expert explain this PS question for me? I can't get the correct answer. I need your help. Thanks.

We are given that a toy store's gross profit on a computer game was 10 percent of the cost of the game. Since we know that revenue - cost = profit, and we are given that profit = 0.1 x cost, we can create the following equation, in which r = revenue and c = cost:

r - c = 0.1c

r = 1.1c

Since the original selling price (or revenue) was $44, we can substitute 44 for r in the equation r = 1.1c and determine c.

44 = 1.1c

440 = 11c

40 = c

If the price was increased to $46, the new profit would be 46 - 40 = $6.

Finally, we can determine what percent the profit was of the cost.

(profit/cost) x 100%

(6/40) x 100%

(3/20) x 100%

15%

Answer: E

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