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# The original price of an article was reduced by 25 percent.

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Director
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The original price of an article was reduced by 25 percent. [#permalink]

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17 Jan 2005, 10:18
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The original price of an article was reduced by 25 percent. During a special sale the new price was decreased by 10 percent. By approximately what percent would the price now have to be increased in order to restore the price of the article to its original amount?

A) 32.5%
B) 35%
C) 48%
D) 65%
E) 67.5%
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17 Jan 2005, 11:20
C) 48%

original price = 100
price, after 25% decrease = 75
price, after 10% during the sale = 75-10% of 75 = 67.5
the amount of price to be increased = 100-67.5 = 32.5
approx % to be increased to get the original price = 32.5/67.5 = 48%.
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17 Jan 2005, 11:49
100 --> 75 --> 67.5 back to 100 so new % will be : 100-67.5/67.5 * 100 = 48%
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17 Jan 2005, 12:00
That's what I get but OA says 32.5.

Guess its a typo
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17 Jan 2005, 12:10
gayathri wrote:
That's what I get but OA says 32.5.

Guess its a typo

i thinks so. the question seems from Kapalan. Kaplan question are pretty vauge.

That answer would be correct if the question was asked to find the following price: The original price of an article was reduced by 25 percent. During a special sale the new price was decreased by 10 percent. By approximately what percent of the original price would the price now have to be increased in order to restore the price of the article to its original amount?

Last edited by MA on 17 Jan 2005, 12:46, edited 1 time in total.
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17 Jan 2005, 12:26
def a typo...Or I am deep trouble for my GMAT....

48% is correct.
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17 Jan 2005, 13:49
It has to be
A) 32.5%

% Increase = (Amount Increased) / (original amount) * 100

To restore the original price
% Increase = (32.5)/100 *100 = 32.5%
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17 Jan 2005, 18:37
but asking for.. increase over the present right? so how can it be 100?
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29 Mar 2007, 11:16
fresinha12 wrote:
def a typo...Or I am deep trouble for my GMAT....

48% is correct.

Is it 48 or 32.5? I thought it was 48 but PR says 32.5
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01 Apr 2007, 21:39
My answer is 32.5%.

Quote:
original price = 100
price, after 25% decrease = 75
price, after 10% during the sale = 75-10% of 75 = 67.5
the amount of price to be increased = 100-67.5 = 32.5
approx % to be increased to get the original price = 32.5/67.5 = 48%.

I think this last line approx % to be increased to get the original price = 32.5/67.5 = 48% is not required since the question is what percent would the price now have to be increased in order to restore the price of the article to its original amount which is 100.

We have taken the original price as 100 so we don't need to go further....the answer 32.5 is already a percent value.

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02 Apr 2007, 09:57
Summer3 wrote:
My answer is 32.5%.

Quote:
original price = 100
price, after 25% decrease = 75
price, after 10% during the sale = 75-10% of 75 = 67.5
the amount of price to be increased = 100-67.5 = 32.5
approx % to be increased to get the original price = 32.5/67.5 = 48%.

I think this last line approx % to be increased to get the original price = 32.5/67.5 = 48% is not required since the question is what percent would the price now have to be increased in order to restore the price of the article to its original amount which is 100.

We have taken the original price as 100 so we don't need to go further....the answer 32.5 is already a percent value.

My tutor said 48. Every problem with a percent change, you just take the increase of the final price
02 Apr 2007, 09:57
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# The original price of an article was reduced by 25 percent.

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