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A certain store reduces the original price of a particular item by 15%

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 58464
A certain store reduces the original price of a particular item by 15%  [#permalink]

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New post 22 Nov 2018, 01:43
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (01:30) correct 7% (01:38) wrong based on 34 sessions

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D
Joined: 31 Oct 2013
Posts: 1468
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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Re: A certain store reduces the original price of a particular item by 15%  [#permalink]

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New post 22 Nov 2018, 01:48
Bunuel wrote:
A certain store reduces the original price of a particular item by 15%. It then reduces this new price by 10% to get the current price. What is the percent decrease from the original price to the current price?

A. 5%
B. 10.5%
C. 15%
D. 23.5%
E. 25%



let the price be 100

after reduction of 15%

100 - 15 - 85

after further reduced by 10% :

85 * 10% = 8.5

current price = 85 -8.5 = 76.5

% change = 100 - 76.5 = 23.5.

D is our answer.
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Re: A certain store reduces the original price of a particular item by 15%  [#permalink]

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New post 22 Nov 2018, 02:32
Bunuel wrote:
A certain store reduces the original price of a particular item by 15%. It then reduces this new price by 10% to get the current price. What is the percent decrease from the original price to the current price?

A. 5%
B. 10.5%
C. 15%
D. 23.5%
E. 25%



Let original price be 100$
100*.85= 85$ , then 85*.90= 76.5 change in price = 100-76.5= 23.5 option D
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Re: A certain store reduces the original price of a particular item by 15%  [#permalink]

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New post 24 Nov 2018, 16:07
Bunuel wrote:
A certain store reduces the original price of a particular item by 15%. It then reduces this new price by 10% to get the current price. What is the percent decrease from the original price to the current price?

A. 5%
B. 10.5%
C. 15%
D. 23.5%
E. 25%

SHORTCUT

The shortcut below is useful for two successive percent changes,
especially when numbers are not round or easy to calculate.

If we have only two successive percent changes, A and B,
to calculate overall percent change quickly, use:

PERCENT CHANGE: \(A + B + \frac{A*B}{100}\)

\(A\) = first percent change = \(-15\)
\(B\) = second percent change = \(-10\)
(If the change is a decrease, use a minus sign.)

From above:

• \(A + B + \frac{A*B}{100}\) (percent is implied)

• \(-15 + (-10) + \frac{(-15)*(-10)}{100}=\)

• \((-25 + \frac{150}{100})=(-25+1.5)=-23.5\) %

Answer D

The shortcut is discussed HERE
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Re: A certain store reduces the original price of a particular item by 15%   [#permalink] 24 Nov 2018, 16:07
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