The price of an item has increased 15% since last year. i ever a person can bad the islander for a 25% employee discount. the employee paid $172.50. what was the price last year

$200

Let p represent the price last year. Then the price this year is ...

... (price this year) = p + 15%×p

... = p + 15/100×p = 1.15p

The price after the employee discount is ...

... (price this year) - 25%×(price this year)

... = (price this year)×(1 - 25/100) = 0.75×(price this year)

Then the price paid is ...

... $172.50 = 0.75×(1.15p) = 0.8625p

Dividing by the coefficient of p, we have

... $172.50/0.8625 = p = $200

The price last year was $200.

-232

step-by-step explanation:

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