Chapter 7.6, Problem 2E

To determine

To Describe: The two methods for finding the sale price of an item.

Answer to Problem 2E

The two methods are described below in the ‘calculation’ part.

Explanation of Solution

Given information: The original price and the discount percent is known.

Formula used:

  $1.\text{ Sale price = Original price }-\text{Discount\%}\times \text{Original price}$

  $2.\text{ Sale price = Original price}\left(1-\text{Discount\%}\right)$

Calculation: Since, the original price and the discount percent is given, and the sale price is to be calculated. In the 1^st method, calculate the discount by multiplying the discount percent with original price and subtract it from the original price. The 2^nd method involves the subtraction of discount percent from ‘1’ and then multiplying it with the original price.

The two methods are as follows:

1^st Method:

  $\begin{array}{l}\text{Sale price = Original price}-\text{Discount}\\ \text{Sale price = Original price}-\left(\text{Discount\%}\times \text{Original price}\right)\end{array}$

2^nd Method:

  $\text{Sale price = Original price}\left(1-\text{Discount\%}\right)$