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26 Dec 2013, 08:59
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B
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Difficulty:
5%
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Question Stats:
92% (00:41) correct
8%
(01:04)
wrong
based on 1680
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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%
(A) 20%
(B) 19%
(C) 18%
(D) 11%
(E) 10%
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).
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).
General Discussion
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%.
Answer: B.
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.
