Question

45. Alma bought a laptop computer
2 points
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?
0.88p​

Answer 1

Answer:

Step-by-step explanation:

Let the original price of the computer be Rs. “x”.

The rate of discount given by the store = 20%

∴ The price of the computer after giving a discount will be,

= x – (20% of x)

= x – 0.2x

= Rs. 0.8x

The rate of tax = 8%

The total amount that Alma had to pay after including the tax is given as Rs. p

But we can also write the eq. for the total amount including the tax as,

p = 0.8x + (8% of 0.8x)  

⇒ p = 0.8x + (0.08*0.8x)

⇒ p = 0.8x * [1+0.08]

⇒ p = (0.8) * x * (1.08)

⇒ x =  

Thus, the original price of the computer is Rs. .

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