Javier bought a microwave for $105.The cost was 30% off the original price.what was the price of the microwave before the sale

Respuesta :

Answer:

$ 150

Step-by-step explanation:

Given:

Cost price of a microwave = $105

Discount % = 30

Question asked:

what was the price of the microwave before sale = ?

Solution:

Let the price of the microwave before sale = [tex]x[/tex]

Price before sale - 30 % discount = cost price of  microwave (by Javier)

[tex]x - 30\% of x = 105[/tex]

[tex]x - \frac{30x}{100} = 105[/tex]

[tex]\frac{70x}{100} = 105\\[/tex]

Multiplying both side by 100

[tex]70x = 105 \times 100[/tex]

[tex]70x = 10500[/tex]

Dividing both side by 70

[tex]x = \frac{10500}{70} \\x = 150[/tex]

x = price of the microwave before sale = $ 150

Thus, price of the microwave before the sale = $150

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