Let x be marked up price. We have been given that a chemistry set costing $27.50, marked up 32% on cost.
![x=27.50*(32)/(100)](https://img.qammunity.org/2019/formulas/mathematics/high-school/x5nthtntu96w4udn1fqgcpagf5hftglno8.png)
![x=27.50*.32](https://img.qammunity.org/2019/formulas/mathematics/high-school/wztwlwmhp3b93nlrhj1az78wqjcr4rrhp5.png)
![x=8.8](https://img.qammunity.org/2019/formulas/mathematics/high-school/ozof4jfbiwbo5vrdofqtscidozndsun80l.png)
Therefore, mark up price is $8.80.
Since we know that selling price of any item equals the sum of cost and mark-up price of the item.
Let us find selling price of our chemistry set.
![\text{Selling price of chemistry set}=27.50+8.8](https://img.qammunity.org/2019/formulas/mathematics/high-school/v1p7kriy7pnt0jq9i2q7wfrm47q25zsymu.png)
Therefore, the selling price of the chemistry set is $ 36.30.