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# At the end of the first quarter, the share price of a certain mutual

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Math Expert
Joined: 02 Sep 2009
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At the end of the first quarter, the share price of a certain mutual  [#permalink]

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30 Sep 2014, 09:50
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Difficulty:

15% (low)

Question Stats:

78% (01:08) correct 22% (01:26) wrong based on 171 sessions

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At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?

A. 20%
B. 25%
C. 30%
D. 33%
E. 40%

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Re: At the end of the first quarter, the share price of a certain mutual  [#permalink]

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30 Sep 2014, 10:57
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Bunuel wrote:
At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?

A. 20%
B. 25%
C. 30%
D. 33%
E. 40%

Consider share price in beginning was 100. at the end of first quarter it is 120 and in second it is 150.
so the increase is [[(150-120)/120]*100 =25%
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Re: At the end of the first quarter, the share price of a certain mutual  [#permalink]

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30 Sep 2014, 19:17
2
Say price at the beginning of year = 100

End of 1st Quarter = 100+20 = 120

End of 2nd Quarter = 100+50 = 150

Percentage increase between 1st & 2nd Quarter$$= \frac{150-120}{120} * 100 = 25%$$

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Re: At the end of the first quarter, the share price of a certain mutual  [#permalink]

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30 Sep 2014, 21:29
1
At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?

A. 20%
B. 25%
C. 30%
D. 33%
E. 40%

Another method is to use the formula for 2 successive percentage changes:

Total = a + b + ab/100

50 = 20 + b + 20b/100

b = 25

Yet another method is to use the multipliers:

50% increase is 3/2
20% increase is 6/5

3/2 = 6/5*x
x = 5/4

5/4 is a 25% increase.

Use whatever works best for you.
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Re: At the end of the first quarter, the share price of a certain mutual  [#permalink]

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23 May 2016, 14:59
Consider the initial share price of a certain mutual fund as $100 After 1st quarter price = 1.2 * 100 =$120
Now the twist comes
After 2nd quarter price increased by 50% of the original price which was at the beginning of the year
So price after 2nd quarter = 1.5 * 100 = 150
Percent increase in the share price from the end of the first quarter to the end of the second quarter = $$\frac{(150-120)}{120}$$ * 100 = 25%
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Re: At the end of the first quarter, the share price of a certain mutual  [#permalink]

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23 May 2016, 19:59
1
Bunuel wrote:
At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?

A. 20%
B. 25%
C. 30%
D. 33%
E. 40%

Share price at the end of 1st quarter 1.2x
Share price at the end of 2nd quarter 1.5x

% increase= 1.5x-1.2x/1.2x*100= 25%

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Re: At the end of the first quarter, the share price of a certain mutual  [#permalink]

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25 Apr 2019, 08:51
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Re: At the end of the first quarter, the share price of a certain mutual   [#permalink] 25 Apr 2019, 08:51
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