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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, 16:25
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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%

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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, 16:41
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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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Increasing the original price of an article by 15 percent  [#permalink]

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New post 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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New post 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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New post 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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You can find other question here;
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Hope it helps.
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Re: Increasing the original price of an article by 15% and then  [#permalink]

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New post 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%
Closest answer is 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, 01:10
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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, 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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New post 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
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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, 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

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