Chapter 6.5, Problem 9GP

To determine

To find:How much does Danisha pay.

Answer to Problem 9GP

Danisha has to pay $\$19.28025$

Explanation of Solution

Given information:

Original price $=\$24.60$

Discount $=25\%$ of Original price.

Sales tax $=4.5\%$ of discounted price.

We know

Discounted price $=$ Original price $-$ Discount

Given

Original price $=\$24.60$

Discount $=25\%$ of Original price.

Therefore,

Discount $=\left(\frac{25}{100}\right)\times 24.60$

  $\Rightarrow$ Discount $=\left(0.25\right)\times 24.60$

  $\Rightarrow$ Discount $=6.15$

Therefore,

Discounted price $=$$\$24.60-\$6.15$

  $\Rightarrow$ Discounted price $=$$\$18.45$

We know

Sales tax $=4.5\%$ of discounted price

Selling price = Discounted price $+$ Sales tax

  $\Rightarrow$ Selling price = $18.45+\left(\frac{4.5}{100}\right)\times 18.45$

  $\Rightarrow$ Selling price = $18.45+\left(0.045\right)\times 18.45$

  $\Rightarrow$ Selling price = $18.45+0.83025$

  $\Rightarrow$ Selling price = $\$19.28025$

Therefore,

Danisha has to pay $\$19.28025$