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A tennis racquet is offered at 25% off. Including 7% sales tax, the final price is $67.41. What was the original price, without tax or discount?

I would appreciate an answer as soon as possible (Maybe today)

1 Answer

5 votes

Answer:

$84.00

Explanation:

You want the original price of a tennis racquet if its final price after a 25% discount and 7% tax is $67.41.

Price with tax

Tax add 7% to the price, so multiplies it by (1 +7%) = 1.07

Discount

The 25% discount subtracts 25% of the original price, so multiplies it by ...

(1 -25%) = 1 -0.25 = 0.75

Final price

Then the final price is computed as ...

final price = (original price)·(0.75)·(1.07)

Dividing by the coefficients of the original price, we find it to be ...

original price = (final price)/(0.75 · 1.07) = $64.71/(0.75·1.07) = $84.00

The original price of the racquet is $84.00.

A tennis racquet is offered at 25% off. Including 7% sales tax, the final price is-example-1
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