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The price of a certain television set is discounted by 10 pe

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The price of a certain television set is discounted by 10 pe [#permalink]

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent. This series of successive discounts is equivalent to a single discount of

(A) 20%
(B) 19%
(C) 18%
(D) 11%
(E) 10%

Problem Solving
Question: 9
Category: Arithmetic Percents
Page: 63
Difficulty: 600


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Re: The price of a certain television set is discounted by 10 pe [#permalink]

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The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent. This series of successive discounts is equivalent to a single discount of

(A) 20%
(B) 19%
(C) 18%
(D) 11%
(E) 10%

Say the original price of the TV was $p, then the final price would be \((0.9p)*0.9=0.81p\). Therefore the original price was discounted by 19%.

Answer: B.
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Collection of Questions:
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Re: The price of a certain television set is discounted by 10 pe [#permalink]

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Let the Original price be 100(Since all the values are in %, it is best to assume a value of 100)
Since the initial discount is 10%, the discounted price will be 90% of 100, giving a value of 90.
Since there is a further discount of 10%, the final discounted price will be (90% of 90) or 81.

Since there is a discount of 19%(100-81), answer is (B). :-D
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Re: The price of a certain television set is discounted by 10 pe [#permalink]

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New post 30 Dec 2013, 04:15
The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent. This series of successive discounts is equivalent to a single discount of

(A) 20%
(B) 19%
(C) 18%
(D) 11%
(E) 10%

Sol:

Let the price of telvision be 100 and then after first discount price becomes 90 and then again it is discounted by 10% (105 of 90 is 9) so price of telvision becomes 81

So a single discount will be of 19%.

Ans B
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Re: The price of a certain television set is discounted by 10 pe [#permalink]

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New post 20 Jun 2016, 13:01
This is a simple question but you could also use a formula Z (Final percentage change) = X+Y+X*Y/100.
X=-10, Y=-10
z= -19 (19% decrease)
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Re: The price of a certain television set is discounted by 10 pe [#permalink]

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Re: The price of a certain television set is discounted by 10 pe   [#permalink] 23 Nov 2017, 05:02
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