Question

Amina sees a discount of 5% on a laptop. She can calculate the amount

she has to pay for the laptop using the expression b – 5/100 b, where b is
the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b?

Answer 1

form an equation: b-5/100 b=494. 95/100b=494. 494*(100/95)=b b=520

Answer 2

The value of b is 520.

Explanation:

Here, b represents the price of the laptop,

Since, discount percentage = 5 %,

So, the discount = 5% of b =
`(5b)/(100)`

Thus, the price of laptop after discount = Original price of laptop - Discount

`=b-(5b)/(100)`

According to the question,

`b-(5b)/(100)=494`

`(100b-5b)/(100)=494`

`(95b)/(100)=494`

`95b=49400`

`b=(49400)/(95)=520`

Hence, the value of b is 520.