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Activity Discussion Math Percentage: Calculating Original Price Reply To: Percentage: Calculating Original Price

• ### Suryansh

Member
June 24, 2023 at 5:37 pm
0

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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