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percentages again !!

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by vishubn » Fri Oct 24, 2008 8:31 pm
A toy store’s gross profit on a computer game was 10 percent 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%

oa E
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Source: — Problem Solving |

by cramya » Fri Oct 24, 2008 9:40 pm
Took more than 2 minutes.


Let the cost of the game be x
Gross Profit = .10 x

Original sale prrice = 44

Sale price - cost price = profit
44 - x = .10x
x=40 (profit is 4 $ i.e 10% of 40)

Now the sale price increased to 46

New Profit = 46-40 (cost of game remained same) = 6

So basically we have to find 6 is what % of 400

x/100*40=6

x=15%

E)
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by cramya » Fri Oct 24, 2008 9:41 pm
TYPO CORRECTION IN BOLD:

Let the cost of the game be x
Gross Profit = .10 x

Original sale prrice = 44

Sale price - cost price = profit
44 - x = .10x
x=40 (profit is 4 $ i.e 10% of 40)

Now the sale price increased to 46

New Profit = 46-40 (cost of game remained same) = 6

So basically we have to find 6 is what % of 40

x/100*40=6

x=15%

E)
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Re: percentages again !!

by sudhir3127 » Fri Oct 24, 2008 9:43 pm
vishubn wrote:A toy store’s gross profit on a computer game was 10 percent 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%

oa E
let the Cp be X
Gp = 0.1X
Gp = Sp- Cp
0.1 X = 44 - X
1.1X = 44
X = 40
hence Cost price is 40

New selling price is 46

Gross profit = 46- 40 = 6

hence its 6/40 = 15% E

hope its clear . do let me know i u have any doubts
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by raunekk » Fri Oct 24, 2008 11:26 pm
Profit=SP-CP

Profit=0.10CP

original SP=44

Thus, 0.10CP=44-CP

i.e, CP = 40

Now,SP=46 and CP=40

so,profit=6
which is 15% of CP=40

Hence,E
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Re: percentages again !!

by logitech » Sat Oct 25, 2008 12:32 am
GP = S - C

10X = 44 - 100X

44 = 110X

? = 46 - 100X

Well if 44 is 110X, 46 is 115X

? = 115X - 100X ( Cost remained the same)

? = 15X


vishubn wrote:A toy store’s gross profit on a computer game was 10 percent 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%

oa E
Join the discussion