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) 0.882 P B) 0.88 C) (0.8)(1.08)p D) P (0.8)(1.08)​

Answer 1

(0.8)(1.08)
p
​

Let the laptop's original cost be =L
After 20 % discount its price will be (100−20)%×L=0.8L
8 % sales tax on this price =(100+8)%×0.8L=1.08×0.8L
So, p=1.08×0.8L
⇒L=
(0.8)(1.08)
p
​



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