Chapter 6.5, Problem 41HP

To determine

To find:Regular price.

Answer to Problem 41HP

If the Regular price is twenty times of that of Selling price then we can say that the item is marked down $95\%$

Explanation of Solution

Given information:

Marked down $=$ Discount $=95\%$ on regular price

We know

Selling price $=$ Original price $-$ Discount

Let us Assume

Regular price be $\text{'}R\text{'}$

Selling price be $\text{'}S\text{'}$

Given

Discount is $95\%$ of regular price that is $R$

Therefore,

Discount $=\left(\frac{95}{100}\right)\times R$

  $\Rightarrow$ Discount $=\left(0.95\right)\times R$

  $\Rightarrow$ Discount $=0.95R$

Therefore,

Selling price $=$$R-0.95R$

  $\begin{array}{l}\Rightarrow S=R-0.95R\\ \Rightarrow S=0.05R\\ \Rightarrow R=\frac{S}{0.05}\\ \Rightarrow R=\frac{100S}{5}\\ \Rightarrow R=20S\end{array}$

Therefore

It means if the Regular price is twenty times of that of Selling price then we can say that the item is marked down $95\%$

By taking real world situation.

Let us assume a person went to a shop to buy a chocolate.

Original cost of chocolate is $\$20$

  $\Rightarrow O=\$20$

Selling cost of chocolate is $\$1$

  $\Rightarrow S=\$1$

Percent of change $=\frac{S-O}{O}\times 100$

  $\Rightarrow$ Percent of change $=\frac{1-20}{20}\times 100$

  $\Rightarrow$ Percent of change $=\frac{-19}{20}\times 100$

  $\Rightarrow$ Percent of change $=\frac{-1900}{20}$

  $\Rightarrow$ Percent of change $=-95\%$

Therefore,

We can say percent of change = $95\%$ and negative sign indicates Marked down by $95\%$ .