Respuesta :

Answer:  $2370

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Work Shown:

x = price before the discount

30% of x = 0.30x = amount saved

x - 0.30x = 0.70x = price after discount = 1659

0.70x = 1659

x = 1659/(0.70)

x = 2370

Given:

  • SP= $1659
  • Discount given= 30%
  • OP= ?

Note that:

  • SP= Selling Price
  • OP= Original Price

To find:

  • The original price of the television set before the discount was given.

Solution:

  • Original price is the actual selling price of an item which is also know as list price.

First we'll have to convert the percent into decimal.

We'll have to divide the value by 100.

[tex]\frac{30}{100}[/tex]

[tex]\bold{=0.30}[/tex]

Now, we can find the original price.

[tex]\large\boxed{\bold{Formula:OP= \frac{price}{1-Discount}}}[/tex]

We have all the necessary values to find the original price.

Let's solve!

Substitute the values according to the formula.

[tex]OP=\frac{1659}{1-0.30}[/tex]

OP= $2370

Therefore, the original price of the television set is $2370

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