Question

In Store A, a book that regularly sells for $24.99 is on sale at 15% off. In Store B, the same book regularly sells for $27.99 and is on sale at 25% off. Which store sells the book for the lower sale price? A. Store A; Store A's sale price is $18.74, and Store B's sale price is $23.79 B. Store A; Store A's sale price is $18.74, and Store B's sale price is $20.99 C. Store B; Store A's sale price is $21.24, and Store B's sale price is $20.99 D. Store B; Store A's sale price is $21.24, and Store B's sale price is $23.79

Answer 1

the answer is option C

Answer 2

Given the question in the question tab, the following are the solution steps to get the answer

Step 1: State the formula for the price of the book after discount is removed

`\begin{gathered} \text{New Price=Original Price-discount} \\ \text{where discount = percentage }*\text{ Original Price} \end{gathered}`

Step 2: Calculate the new price of the book at store A after the discount

`\begin{gathered} \text{Original Price=\$24.99, percentage off =15\%} \\ \text{Discount}=(15)/(100)*24.99=3.7485 \\ \text{New Price}=24.99-3.7485=21.2415 \\ \text{New Price}\approx\text{\$}21.24 \end{gathered}`

Step 3: Calculate the new price of the book at store B after the discount

`\begin{gathered} \text{Original Price=\$27.99, percentage off =25\%} \\ \text{Discount}=(25)/(100)*27.99=6.9975 \\ \text{New Price}=27.99-6.9975=20.9925 \\ \text{New Price}\approx\text{\$}20.99 \end{gathered}`

Step 4: Compare the prices at the two stores to get the store that sells the book at lower price sale

Hence, it can be seen from the calculations above that Store A's sale price is $21.24, and Store B's sale price is $20.99 which is Option C.