A merchant reduces the original price of a coat by 20 percent for a spring sale. Finding that the coat did not sell, the

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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%


OA D

Source: Princeton Review

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BTGmoderatorDC wrote:
Sat Jul 18, 2020 7:55 pm
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%


OA D

Solution:

We can let the original price of the coat be $100. Therefore, by summer, its price is reduced to:

100 x 0.8 x 0.85 = $68

We see that this is 68% of the original price of $100.

Answer: D

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BTGmoderatorDC wrote:
Sat Jul 18, 2020 7:55 pm
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%


OA D

Source: Princeton Review
Let original price be \(100\)
Reduced price of coat is \(80\)

Final reduced price is \(\dfrac{80\cdot (100-15)}{100}=68\)

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

Therefore, D