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

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Math Expert
Joined: 02 Sep 2009
Posts: 51229
A certain store reduces the original price of a particular item by 15%  [#permalink]

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22 Nov 2018, 00:43
00:00

Difficulty:

25% (medium)

Question Stats:

91% (01:18) correct 9% (01:38) wrong based on 22 sessions

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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%

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Director
Joined: 31 Oct 2013
Posts: 883
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: A certain store reduces the original price of a particular item by 15%  [#permalink]

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22 Nov 2018, 00:48
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.

Director
Joined: 18 Aug 2017
Posts: 747
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
Re: A certain store reduces the original price of a particular item by 15%  [#permalink]

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22 Nov 2018, 01:32
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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Senior SC Moderator
Joined: 22 May 2016
Posts: 2213
Re: A certain store reduces the original price of a particular item by 15%  [#permalink]

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24 Nov 2018, 15:07
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)

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

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

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