Chapter 6.5, Problem 39IP

To determine

To find:Is discounted price is $\$10$ .

Answer to Problem 39IP

Discounted price is Not $\$10$

Discounted price $=\$7.5$

Explanation of Solution

Given information:

Original price of each shirt $=\$10$

Markup $=50\%$

After few weeks they discount the shirt by $50\%$

We know

Marked up price $=$ Original price $+$ Markup

Given

Markup is $50\%$ of cost price that is $\$10$

Therefore,

Markup $=\left(\frac{50}{100}\right)\times 10$

  $\Rightarrow$ Markup $=\left(0.5\right)\times 10$

  $\Rightarrow$ Markup $=\$15$

Therefore,

Marked up price $=$$\$10+\$5$

  $\Rightarrow$ Marked up price $=$$\$15$

But,

After few weeks they discount the shirt by $50\%$

Discounted price $=$ Marked up price $-$ Discount amount

Given

Marked up price $=\$15$

Discount $=50\%$ of Marked up price

Discount amount $=\left(\frac{50}{100}\right)\times 15$

  $\Rightarrow$ Discount amount $=\left(0.5\right)\times 15$

  $\Rightarrow$ Discount amount $=7.5$

Therefore,

Discounted price $=$$\$15-\$7.5$

  $\Rightarrow$ Discounted price $=$$\$7.5$

Therefore

Discounted price is Not $\$10$