Increasing the original price of an article by 15 percent : GMAT Problem Solving (PS)
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Increasing the original price of an article by 15 percent

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Increasing the original price of an article by 15 percent [#permalink]

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New post 05 Feb 2012, 15:25
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Increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by

A) 32.25%
B) 31.00%
C) 30.25%
D) 30.00%
E) 22.50%
[Reveal] Spoiler: OA

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Re: Increasing the original price of an article by 15 percent [#permalink]

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New post 05 Feb 2012, 15:41
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fiendex wrote:
Increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by

A) 32.25%
B) 31.00%
C) 30.25%
D) 30.00%
E) 22.50%


You can do this by approximation, or with straight math by calculating 100*1.15^2.

Or step by step: if you increase 100 by 15% you'll get 115, then if you increase 115=100+15 by 15% again, 100 will gain 15 again and 15 will gain its 15% which is 2.25, so total gain is 15+2.25=17.25 --> 115+17.25=132.25.

Answer: A.
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Re: Increasing the original price of an article by 15 percent [#permalink]

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New post 11 Jul 2014, 00:10
Initial Price = 100

15% increase = 115

Again 15% increase on new price \(= 115 + 115 * \frac{15}{100}\)

= 115 + 117.25

= 132.25

Percentage Increase = 132.25 - 100 = 32.25%
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Re: Increasing the original price of an article by 15 percent [#permalink]

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New post 11 Jul 2014, 04:50
Original Price be P

Increasing by 15% => New price = 1.15 P
Again Increasing it by 15 % => Final Price = 1.15*1.15 P = 1.3225 { 115^2 = 11*12 25 = 13225}

Hence increase is (1.3225 - 1)*100% = 32.25%
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Re: Increasing the original price of an article by 15 percent [#permalink]

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New post 30 Mar 2016, 13:32
consider base price as $100
15% increase = 1.15*100 = 115
Another 15% increase on new price = 1.15 * 115 = 132.25
therefore a 32.25% increase

Correct ans - A
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Re: Increasing the original price of an article by 15 percent [#permalink]

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New post 11 Feb 2017, 16:06
Lets say P=100 $ --> 100*15%=115$ = P1

115+15%*(115)= P2

You can think 115 as 100 + 10 + 5 and take 15% of each one:
15%* 100 = 15
15%*10= 1,5
15%*(2*5)=1,5-->15%*5=0,75

The answer is 115+15+1,5+0,75= 132,25 --> Answer A
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Re: Increasing the original price of an article by 15 percent [#permalink]

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New post 12 Feb 2017, 01:32
fiendex wrote:
Increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by

A) 32.25%
B) 31.00%
C) 30.25%
D) 30.00%
E) 22.50%


Shortest method will be -

\(15 + 15 + \frac{(15*15)}{100}\)

= 30 + 2.25

= 32.25%

Hence, correct answer will be (A) 32.25%
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Re: Increasing the original price of an article by 15 percent   [#permalink] 12 Feb 2017, 01:32
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