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# In July the price of a stock increased by 10 percent. In August, it de

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In July the price of a stock increased by 10 percent. In August, it de  [#permalink]

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23 Dec 2018, 09:39
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35% (medium)

Question Stats:

79% (01:36) correct 21% (01:27) wrong based on 25 sessions

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In July the price of a stock increased by 10 percent. In August, it declined by 20 percent. If in September the price increased by 10 percent, by what percent of the original July price has the stock changed in price from the start of July to the end of September?

A. 0%
B. 3.2%
C. 4.4%
D. 20%
E. 40%

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In July the price of a stock increased by 10 percent. In August, it de  [#permalink]

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23 Dec 2018, 09:52
In July the price of a stock increased by 10 percent. In August, it declined by 20 percent. If in September the price increased by 10 percent, by what percent of the original July price has the stock changed in price from the start of July to the end of September?

A. 0%
B. 3.2%
C. 4.4%
D. 20%
E. 40%

Let =100, ..July Start
10 % inc=110 ..July End
20% dec=88 ..Aug end
10% inc=96.8 ..Sept end
To find -by what percent of the original July price has the stock changed in price from the start of July to the end of September
100 to 96.8 =? % .... Ans =3.2%

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Re: In July the price of a stock increased by 10 percent. In August, it de  [#permalink]

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23 Dec 2018, 14:19

Let the Price of stock be P at the end of June.

By the end of July, it increased by 10%. Hence became 1.1P.

It then fell at the end of August by 20% ie. became .8 times of what it was when we started in August. Hence became .8 x 1.1 x P.

It then again rose by 10% by the time we reached the end of September. Hence became, 1.1 x . 8 x 1.1 x P ie. .968P.

Subtracting .968 from 1, we get .032.

Hence the total change is 3.2% reduction in P by the time we reached the end of September.
Re: In July the price of a stock increased by 10 percent. In August, it de   [#permalink] 23 Dec 2018, 14:19
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