Question

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

Answer 1

$200

Step-by-step explanation:

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.