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

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Math Expert
Joined: 02 Sep 2009
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The price of a certain television set is discounted by 10 pe [#permalink]

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26 Dec 2013, 08:59
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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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26 Dec 2013, 09:00
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SOLUTION

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%.

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

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26 Dec 2013, 21:17
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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).
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Re: The price of a certain television set is discounted by 10 pe [#permalink]

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30 Dec 2013, 05:15
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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Joined: 06 May 2016
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Re: The price of a certain television set is discounted by 10 pe [#permalink]

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20 Jun 2016, 14:01
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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Posts: 6641
Re: The price of a certain television set is discounted by 10 pe [#permalink]

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23 Nov 2017, 06:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The price of a certain television set is discounted by 10 pe   [#permalink] 23 Nov 2017, 06:02
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