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# Increasing the original price of an article by 15 percent

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Manager
Joined: 01 Dec 2011
Posts: 63
Increasing the original price of an article by 15 percent  [#permalink]

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05 Feb 2012, 16:25
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Difficulty:

5% (low)

Question Stats:

81% (00:59) correct 19% (00:55) wrong based on 306 sessions

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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%

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Posts: 50007
Re: Increasing the original price of an article by 15 percent  [#permalink]

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05 Feb 2012, 16:41
3
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.

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

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09 Mar 2013, 21:48
Increasing the original price of an article by 15% and then increasing the new price by 15% again is equivalent to increasing the original price by what %?

A. 34
B. 40
C. 68
D. 88
E. 102

Hey guys this might be as simple as abc for a math problem to you but not me..anyway this is how i did it after reading a gmat study guide on percents from platinumgmat albeit i dd not pretty well understand it..the two percentages in decimal form,will be as 0.15 each..x(0.15)multiply(0.15) the result is 1.3325x..to one decimal place it is 1.3x..i then found the percentage increase {(end value - start value)/start value)}*100 hence {(1.3225x-x)/x)}*100 =32.25 (to the nearest whole number;32..but among the answer choices there is no 32)how did i get it wrong?please help
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Re: Increasing the original price of an article by 15% and then  [#permalink]

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09 Mar 2013, 22:24
chiccufrazer1 wrote:
Increasing the original price of an article by 15% and then increasing the new price by 15% again is equivalent to increasing the original price by what %?

A.34 B.40 C.68 D.88 E.102

Hey guys this might be as simple as abc for a math problem to you but not me..anyway this is how i did it after reading a gmat study guide on percents from platinumgmat albeit i dd not pretty well understand it..the two percentages in decimal form,will be as 0.15 each..x(0.15)multiply(0.15) the result is 1.3325x..to one decimal place it is 1.3x..i then found the percentage increase {(end value - start value)/start value)}*100 hence {(1.3225x-x)/x)}*100 =32.25 (to the nearest whole number;32..but among the answer choices there is no 32)how did i get it wrong?please help

To INCREASE a certain number by 15%, you will have to multiply by 1.15
To DECREASE a certain number by 15%, you will have to multiply by 0.85.
To find what 15% of a certain number is, you will have to multiply by 0.15

Lets say the original price of the article is 10$Multiplying 10 by 1.15 we get 11.5$
Now multiplying 11.5 by 1.15 again we get 13.225 which is the same as increasing 10 by 32%.
So the answer you got is correct.

If the answer choices aren't incorrect, you would be best served to choose the closest possible answer choice i.e. A and move on.
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Re: Increasing the original price of an article by 15% and then  [#permalink]

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10 Mar 2013, 05:49
chiccufrazer1 wrote:
Increasing the original price of an article by 15% and then increasing the new price by 15% again is equivalent to increasing the original price by what %?

A. 34
B. 40
C. 68
D. 88
E. 102

Hey guys this might be as simple as abc for a math problem to you but not me..anyway this is how i did it after reading a gmat study guide on percents from platinumgmat albeit i dd not pretty well understand it..the two percentages in decimal form,will be as 0.15 each..x(0.15)multiply(0.15) the result is 1.3325x..to one decimal place it is 1.3x..i then found the percentage increase {(end value - start value)/start value)}*100 hence {(1.3225x-x)/x)}*100 =32.25 (to the nearest whole number;32..but among the answer choices there is no 32)how did i get it wrong?please help

The actual increase would be a little more that 15 + 15 = 30%, only A fits.

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Re: Increasing the original price of an article by 15% and then  [#permalink]

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10 Mar 2013, 08:52
chiccufrazer1 wrote:
Increasing the original price of an article by 15% and then increasing the new price by 15% again is equivalent to increasing the original price by what %?

A. 34
B. 40
C. 68
D. 88
E. 102

Hey guys this might be as simple as abc for a math problem to you but not me..anyway this is how i did it after reading a gmat study guide on percents from platinumgmat albeit i dd not pretty well understand it..the two percentages in decimal form,will be as 0.15 each..x(0.15)multiply(0.15) the result is 1.3325x..to one decimal place it is 1.3x..i then found the percentage increase {(end value - start value)/start value)}*100 hence {(1.3225x-x)/x)}*100 =32.25 (to the nearest whole number;32..but among the answer choices there is no 32)how did i get it wrong?please help

During successive increment or decrements we can apply below mentioned logic. Helps to calculate faster

Let the price of a commodity is increased by a% and then b% then the final increment will be

1 + a/100 + b/100 + ab/10000

Now the same logic can be applied with decrements also with just changing the signs.
Let for example price of commodity is increased by a% and then decreased by b% then the resulting increase/decrease will be

1 + a/100 - b/100 -ab/10000

For the above question the approach will be

1 + 0.15 + 0.15 + 0.0225 = 1.3225 ==> 32.25%
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Re: Increasing the original price of an article by 15 percent  [#permalink]

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11 Jul 2014, 01:10
1
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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11 Jul 2014, 05:50
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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30 Mar 2016, 14:32
consider base price as $100 15% increase = 1.15*100 = 115 Another 15% increase on new price = 1.15 * 115 = 132.25 therefore a 32.25% increase Correct ans - A Intern Joined: 27 Oct 2016 Posts: 2 Location: Argentina Concentration: General Management, Operations WE: Engineering (Energy and Utilities) Re: Increasing the original price of an article by 15 percent [#permalink] ### Show Tags 11 Feb 2017, 17:06 Lets say P=100$ --> 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

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

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12 Feb 2017, 02:32
1
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% and then  [#permalink]

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20 May 2017, 05:29
Since the nearest ans to 32 % is option A. I chose option A.

Let 100 be original price.
15 % increase = 115
15% increase = little more then 15 = 132

Hence 32 % increase.

Alternatively Solution:

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

30 +$$\frac{225}{100}$$

30 + 2.25

32.25
Re: Increasing the original price of an article by 15% and then &nbs [#permalink] 20 May 2017, 05:29
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