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?

Respuesta :

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

Answer:

The value of b is 520.

Step-by-step explanation:

Here, b represents the price of the laptop,

Since, discount percentage = 5 %,

So, the discount = 5% of b = [tex]\frac{5b}{100}[/tex]

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

[tex]=b-\frac{5b}{100}[/tex]

According to the question,

[tex]b-\frac{5b}{100}=494[/tex]

[tex]\frac{100b-5b}{100}=494[/tex]

[tex]\frac{95b}{100}=494[/tex]

[tex]95b=49400[/tex]

[tex]b=\frac{49400}{95}=520[/tex]

Hence, the value of b is 520.