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Andrew started saving at the beginning of the year and had saved $240 [#permalink]
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AbdurRakib wrote:
Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
A. 11%
B. 25%
C. 44%
D. 56%
E. 125%

I was a bit shocked at current stats of 45% incorrect.

Sometimes a simple sketch, for me, is better than an equation.

Andrew's savings from beginning to end of each year:

Year 1: 0$ ------> $240

Year 2: $240 ----> $540*

Year 1 amount saved is $240
Year 2 amt saved is (540 - 240) = $300

Percent increase = \(\frac{change}{original}\):

\(\frac{(300-240)}{240}\) = \(\frac{60}{240}\) = \(\frac{1}{4}\) = .25 x 100 = 25%

Answer B

*(Careful, maybe: I think it would be easy to misread "by the end of 2 years he had saved a total of $540" incorrectly as "at the end of the second year he had saved [another] $540." The latter yields answer E.)
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Re: Andrew started saving at the beginning of the year and had saved $240 [#permalink]
Difference of 2 years savings and 1 year savings = 540 - 240 = 300 ---> 2nd year savings
% increase in two years = (300 - 240)/240 * 100 = 25%
Option B
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Re: Andrew started saving at the beginning of the year and had saved $240 [#permalink]
Saving increases from 240 to 540 in second year
So
First year saving=240
Second year saving=300
Increased by=300-240=60
So percent of increase=(60/240)*100=25%

Answer B

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Re: Andrew started saving at the beginning of the year and had saved $240 [#permalink]
chetan2u

Hi Chetan, I have a question: I calculated 25% but then added 100% to it so received 125%. What does the 125% represent..? Thank you for your help!!
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Re: Andrew started saving at the beginning of the year and had saved $240 [#permalink]
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lstsch wrote:
chetan2u

Hi Chetan, I have a question: I calculated 25% but then added 100% to it so received 125%. What does the 125% represent..? Thank you for your help!!


PLease elaborate on the question.

If you take 25% of something and add 100% to it - Depend on what this 100% is of
1) say there is a number a, so 25% of a = 0.25a. Add 100% of a, then it becomes 0.25a+a=1.25a. It is same as taking 25% MORE of a = a+0.25a=1.25a.
2) Now, say there is a number a, so 25% of a = 0.25a. But now you are adding 100% of 0.25a, then it becomes 0.25a+0.25a=0.5a.
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Re: Andrew started saving at the beginning of the year and had saved $240 [#permalink]
IMO B

amount saved in first year 240

amount saved at the end of second year 540

extra amount saved only in second year = 300

extra amount saved = 60

in percent = 60/250*100 = 25%

award kudos if helpful ..

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Andrew started saving at the beginning of the year and had saved $240 [#permalink]
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AbdurRakib wrote:
Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
A. 11%
B. 25%
C. 44%
D. 56%
E. 125%



\(540-240=300\) is the amount of saving of the second year.

\(300-240=60 \) excess savings in the second year.

The increase percentage \(= \frac{60}{240}*100=25\)%

The answer is \(B.\)
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Re: Andrew started saving at the beginning of the year and had saved $240 [#permalink]
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Re: Andrew started saving at the beginning of the year and had saved $240 [#permalink]
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