Given in the scenario:
a.) The wholesale price for a bookcase is $170.
b.) A certain furniture store marks up the wholesale price by 28%.
It's been stated that the wholesale price of the bookcase in a certain furniture store marks up by 28%. It means that the price of the bookcase has been added by 28% of the wholesale price in a certain furniture store.
We get,
![\text{ P = Wholesale Price + 28\% of Wholesale price}](https://img.qammunity.org/2023/formulas/mathematics/college/wkomgjmilwzbbnsygebvknixta8cti50nc.png)
Where,
P = The price of the bookcase in the furniture shop.
Step 1: Let's determine the 28% of the wholesale price.
![\text{ = \$170 x }\frac{28(\text{\%)}}{100(\text{\%)}}\text{ = \$170 x }0.28](https://img.qammunity.org/2023/formulas/mathematics/college/t32bg8es25qbcs1rkrj9uv05yxuebqn0a1.png)
![\text{ = \$47.60}](https://img.qammunity.org/2023/formulas/mathematics/college/17cc9znhwaau3aklbdy3vk48eau8tdtqsy.png)
Therefore, the added price of the bookcase is $47.60.
Step 2: Add the wholesale price and the 28% mark up.
![\text{ = \$170 + \$47.60}](https://img.qammunity.org/2023/formulas/mathematics/college/ac3vpxbrd06pl43gp9vdnwoo1soioru5im.png)
![\text{ = \$217.60}](https://img.qammunity.org/2023/formulas/mathematics/college/z9yrd12o8jc6dh63oupfr8w5afjx8rfo89.png)
Therefore, the price of the bookcase in the furniture shop is $217.60.