Question

1. a 26-pound gummy python is priced at $149.99, in halifax, nova scotia. calculate the total price of the gummy python after the gst (5%) and the pst (10%) has been included.
2. winter boots regularly sell for $99.99. they were marked down by 25% in march. in april, the boots were further marked down by 15%.

a) what was the selling price of the boots in april?
b) what was the total discount (in dollars) for the boots?

Explanation:

Part 2 (Gummy Python Price)

Step1: Find total tax rate

GST is 5% and PST is 10%, so total tax rate is \( 5\% + 10\% = 15\% = 0.15 \).

Step2: Calculate tax amount

Tax amount = \( 149.99 \times 0.15 \). Let's compute that: \( 149.99 \times 0.15 = 22.4985 \).

Step3: Find total price

Total price = Original price + Tax = \( 149.99 + 22.4985 = 172.4885 \approx 172.49 \) (rounded to two decimal places).

Step1: Price after March discount

First discount is 25%, so the price after March is \( 99.99 \times (1 - 0.25) = 99.99 \times 0.75 \). Calculate that: \( 99.99 \times 0.75 = 74.9925 \).

Step2: Price after April discount

Second discount is 15% on the March price, so April price is \( 74.9925 \times (1 - 0.15) = 74.9925 \times 0.85 \). Compute: \( 74.9925 \times 0.85 = 63.743625 \approx 63.74 \) (rounded to two decimal places).

Step1: Find total discount percentage

First discount 25%, then 15% on the remaining. The total percentage paid is \( (1 - 0.25) \times (1 - 0.15) = 0.75 \times 0.85 = 0.6375 \), so total discount percentage is \( 1 - 0.6375 = 0.3625 = 36.25\% \).

Step2: Calculate total discount amount

Total discount = Original price - April price = \( 99.99 - 63.743625 = 36.246375 \approx 36.25 \) (rounded to two decimal places). Alternatively, using discount percentage: \( 99.99 \times 0.3625 = 36.246375 \approx 36.25 \).

Answer:

The total price is \(\$172.49\) (or \(\$172.4885\) before rounding).

Part 3a (Winter Boots in April)