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After an 85% reduction, you purchase a new sofa on sale for $117. What was the original price of the sofa?

Sagot :

Marver1ckidn

Answer:

$780

Step-by-step explanation:

100% - 85% = 15% = 0.15

Let's assume the original price of the sofa is represented by "x."

We have:

0.15x = $117

x = $117 ÷ 0.15

x = $780

So, the original price of the sofa was $780.

The sales tax to the price of the jacket, the total cost is $91.375

To find the original price of the sofa, we need to understand that the sale price of $117 represents 15% of the original price (since 100% - 85% = 15%). Let the original price be P. We can set up the equation: 0.15P = 117 (where 15% is converted to a decimal, i.e., 0.15).

Solve for P:

  • 0.15P = 117
  • P = 117 / 0.15
  • P = 780

Therefore, the original price of the sofa was $780. Similarly, for another example, Emily bought a jacket for $85 and the sales tax is 7.5%. First, find the amount of sales tax:

  • Sales tax = 85 * 0.075 = $6.375

Adding the sales tax to the price of the jacket, the total cost is $91.375

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