• Math

  Percentage: Calculating Original Price

  Posted by Govind on June 24, 2023 at 5:29 pm

  If the sale price of an item is $75 after a 20% discount, what was the original price?

  Suryansh replied 10 months, 2 weeks ago 2 Members · 1 Reply
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  Suryansh

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  June 24, 2023 at 5:37 pm

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  If the sale price of an item is $75 after a 20% discount, we want to find the original price.

  Let’s assume the original price is ‘x’ dollars.

  The discount is 20%, which means we take away 20% of the original price to get the sale price. To calculate the discount amount, we multiply the original price by 20% (which is 0.20).

  Discount amount = x * 0.20

  To find the sale price, we subtract the discount amount from the original price:

  Sale price = x – (x * 0.20)

  According to the given information, the sale price is $75.

  So, we can set up an equation:

  $75 = x – (x * 0.20)

  Now, let’s simplify the equation:

  $75 = x – 0.20x

  We can combine like terms:

  $75 = 0.80x

  To find the value of ‘x’, we divide both sides of the equation by 0.80:

  $75 / 0.80 = x

  Calculating this, we get:

  $93.75 = x

  Therefore, the original price of the item was $93.75.

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