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The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called percentage decrease.

Discount is a percentage of the original price that is subtracted from the price of the item the final price is called selling price. It is a percent of the decrease in the cost.

Sales tax is a tax that is added to the price of the item the final price is called selling price. It is a percent of the increase in the cost.

We are given the following price and the discount percentages:

Boardgame: $25.00

discount: 15%

tax: 7.5%

The discount is 15% of the price. We will subtract this amount from the original price.

The tax is 7.5% of the price. We will add this amount to the original price.

So If x represents the new price after subtracting the discount then we have:

$\begin{array}{l}x=\text{Cost+}\left(\text{Tax\%ofCost}\right)\text{-}\left(\text{Discount}\%\text{ofCost}\right)\\ x=\$25.00+\left(7.5\%×\$25.00\right)−\left(15\%×\$25.00\right)\\ x=25+\left(\frac{7.5}{100}×25\right)−\left(\frac{15}{100}×25\right)\\ x=25+\left(0.075×25\right)−\left(0.15×25\right)\\ x=25+1.875−3.75\\ x=26.875−3.75\\ x=\$23.125\end{array}$

Thus, the final price of the board game is $23.125.