A sporting goods store purchased a snowboard and marked it up 25% from the original cost of $120. Then, wanting to make room for summer inventory, the store placed the snowboard on sale for 70% off. What was the price after the discount?

Answer 1

First, we need to determine the marked-up price of the snowboard. The original cost of the snowboard is $120, and it was marked up by 25%.

To calculate the markup, we find 25% of $120:

\[ \text{Markup} = 0.25 \times 120 = 30 \]

Now, we add the markup to the original cost to find the marked-up price:

\[ \text{Marked-Up Price} = \text{Original Cost} + \text{Markup} = 120 + 30 = 150 \]

Next, we need to calculate the price after applying the 70% discount on the marked-up price of $150.

To find the amount of the discount, we calculate 70% of $150:

\[ \text{Discount} = 0.70 \times 150 = 105 \]

Now, we subtract the discount from the marked-up price to find the final sale price:

\[ \text{Final Price} = \text{Marked-Up Price} - \text{Discount} = 150 - 105 = 45 \]

Thus, the price of the snowboard after the discount is \(\boxed{45}\).