Question

Alma bought a laptop computer at a store that gave 20% discount off its original price. The total amount she paid to cashier was p rupees including an 8 percent tax after discount. Represent the original price of the computer in terms of p​

Answer 1

The original price of the computer in terms of p is Rs. [p]/[(0.8)*(1.08)].

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 = $\frac{p}{(0.8)(1.08)}$

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

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