Chapter 6.5, Problem 8GP

To determine

To find:Original price that is how much she has paid without the discount.

Answer to Problem 8GP

Amount she has to pay without discount $=$ Original price $=x=\$236$

Explanation of Solution

Given information:

Total purchased cost that is Selling price $=\$141.60$

Discount $=40\%$ on original price

We know

Selling price $=$ Original price $-$ Discount

Given

Total purchased cost that is Selling price $=\$141.60$

Assume Original price is $\text{'}x\text{'}$

Discount $=40\%$ on original price

Therefore,

Discount $=\left(\frac{40}{100}\right)\times x$

  $\Rightarrow$ Discount $=\left(0.4\right)\times x$

  $\Rightarrow$ Discount $=0.4x$

Therefore,

Selling price $=$$x-0.4x$

  $\begin{array}{l}\Rightarrow 141.60=x-0.4x\\ \Rightarrow 141.60=0.6x\\ \Rightarrow x=\frac{141.60}{0.6}\\ \Rightarrow x=236\end{array}$

Therefore,

Original price $=x=\$236$