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A merchant reduces the original price of a coat by 20 percent for a sp

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A merchant reduces the original price of a coat by 20 percent for a sp [#permalink] New post   16 Feb 2017, 06:38
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A merchant reduces the original price of a coat by 20 percent for a spring sale. Finding that the coat did not sell, the merchant reduces the spring price by a further 15 percent at the start of the summer. The coat’s summer price is what percent of its original price?

A. 35%
B. 64%
C. 65%
D. 68%
E. 80%
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D
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Re: A merchant reduces the original price of a coat by 20 percent for a sp [#permalink] New post   21 Feb 2017, 10:21
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SajjadAhmad wrote:
A merchant reduces the original price of a coat by 20 percent for a spring sale. Finding that the coat did not sell, the merchant reduces the spring price by a further 15 percent at the start of the summer. The coat’s summer price is what percent of its original price?

A. 35%
B. 64%
C. 65%
D. 68%
E. 80%



We can let the original price of the coat = x. After a 20% reduction, the price is 0.8x. After another 15% reduction, the price is 0.85(0.8x) = 0.68x.

Thus, coat’s summer price is (0.68x/x)100 = 68% of the original price.

Answer: D
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Re: A merchant reduces the original price of a coat by 20 percent for a sp [#permalink] New post   16 Feb 2017, 08:12
SajjadAhmad wrote:
A merchant reduces the original price of a coat by 20 percent for a spring sale. Finding that the coat did not sell, the merchant reduces the spring price by a further 15 percent at the start of the summer. The coat’s summer price is what percent of its original price?

A. 35%
B. 64%
C. 65%
D. 68%
E. 80%


Let x be the original price
after 20% decrease, new price = 0.8x
after 15% further decrease = 0.8x*.85=0.68x
coat’s summer price is what percent of its original price = 0.68x/x = 0.68 = 68%

Hence Option D is correct.
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Re: A merchant reduces the original price of a coat by 20 percent for a sp [#permalink] New post   16 Feb 2017, 08:47
SajjadAhmad wrote:
A merchant reduces the original price of a coat by 20 percent for a spring sale. Finding that the coat did not sell, the merchant reduces the spring price by a further 15 percent at the start of the summer. The coat’s summer price is what percent of its original price?

A. 35%
B. 64%
C. 65%
D. 68%
E. 80%


Let original price be 100

Reduced price of coat is 80

Final reduced price is \(\frac{80*(100-15)}{100} = 68\)

Thus, the final price of the coat is \(\frac{68}{100*100}\) = 68% of the Original Price.

Hence, answer will be (D) 68%
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Re: A merchant reduces the original price of a coat by 20 percent for a sp [#permalink]
16 Feb 2017, 08:47
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