Chapter 7.5, Problem 33HP

To determine

Whether 10 % discount on an item and adding 10 % sales tax result in original price or not.

Answer to Problem 33HP

10 % discount on an item and adding 10 % sales tax does not result in original price.

Explanation of Solution

Calculation:

10 % discount on an item and adding 10 % sales tax does not result in original price because 10 % discount is given on the original price of the item and added 10 % sales tax is applied on the reduced value after discount.

Let us consider the original price of an item is 1000 rupees. After 10 % discount on the price is calculated as,

  $\begin{array}{l}\text{Discounted}\text{price}=1000-10\%\text{of}1000\\ =1000-100\\ \text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}\text{}=900\end{array}$

If 10 % sales tax is added on the item then price is calculated as,

  $\begin{array}{l}\text{Price}=900+10\%\text{of 900}\\ =\text{900}+90\\ =990\end{array}$

Conclusion:

Hence, 10 % discount on an item and adding 10 % sales tax does not result in original price.