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DanielleElmas [232]
3 years ago
9

What is the original price of an item cost if the tax is 9.25% and the discount is 25% and the new price after discount and tax

is $62.28?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0

Answer: $ 91.50.

Step-by-step explanation:

Let x be the original price.

Since discount is applied before tax.

New price = (Original price - Discount)-Tax rate (Original price - Discount)

, where Discount = Discount rate x Original price.

Substituting values, we get

62.28=(x-0.25x)-0.0925(x-0.25x)

62.28=(0.75x)-0.0925(0.75x)

62.28=0.75x-0.069375x

62.28=0.680625x

x=\frac{62.28}{0.680625}

x=91.50

Hence, the original price was  $ 91.50.

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