The manager of the school bookstore increased the price of a popular book from $11.75 to $12.57. she reduced the price of a less popular book by the same percent. if the less popular book was originally $18.75, what is the new price of this book? a.$17.93 b.$17.81 c. $17.53 d.$17.44

 D)   $17.44

Explanation:

First we need to calculate the percent increase of the popular book

A = old price = 11.75

B = new price = 12.57

C = percent change

C = 100*(B-A)/A

C = 100*(12.57-11.75)/(11.75)

C = 6.9787% approximately

The positive C value indicates a percent increase.

The less popular book gets roughly a 6.9787% price decrease or discount.

100% - 6.9787% = 93.0213%

The less popular book is now 93.0213% of its original price of $18.75

Apply this percentage to the original price

93.0213% of 18.75 = (93.0213/100)*18.75 = 17.4415 which rounds to 17.44

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