Question

Alma bought a laptop computer at a store that gave a $20$ percent discount off its original price. The total amount she paid to the cashier was $p$ dollars, including an $8$ percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of $p$?

• A. $0.88p$
• B. $\frac{p}{0.88}$
• C. $\left(0.8\right)\left(1.08\right)p$
• D. $\frac{p}{\left(0.8\right)\left(1.08\right)}$

Answer 1

Answer: (D)

$\frac{p}{\left(0.8\right)\left(1.08\right)}$

Let the laptop's original cost be $=L$
After $20$ % discount its price will be $(100-20)$
$8$ % sales tax on this price $=(100+8)$
So, $p=1.08\times 0.8L$
$\Rightarrow L=\frac{p}{\left(0.8\right)\left(1.08\right)}$