Question

Amla brought a laptop computer at a store that gave a 20% discount of its original price the total amount she paid to the cashier was p dollars including an 8% sales tax on the discount price which of the following represent the original price of the computer in term of p

Answer 1

The original price of the computer in terms of p is $ $\frac{p}{[(0.8)(1.08)]}$.

Step-by-step explanation:

Let the original price of the computer be $ “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

= 0.8x

The rate of tax = 8%

The total amount that Alma had to pay after including the tax is given as $ 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 = $\frac{p}{[0.8 * 1.08]}$

Thus, the original price of the computer is $ $\frac{p}{(0.8)(1.08)}$ .

---------------------------------------------------------------------------------------------

Also View:

If you sell a horse for Tk 6200 and a cow for rs 2600, than you will earn 10% profit ,if you sell a horse for Tk 6000 and a cow at its cost price and earn 12.5% profit , find cost price of horse and cow?

https://brainly.in/question/14402273

A wholesaler allows a discount of 20 % on the list price of an article to a retailer. The retailer sells it at a 5% discount on the list price . If the customer pays rs 38 for the article what is the retailer's profit ?

https://brainly.in/question/902358