Wilma buys a new game that is priced $43.89. She gets successive discounts of 15% followed by 5% off on the game. The purchase price of Wilma’s game is _____ of the original price.

Question

a.
79.5%
b.
80%
c.
80.75%
d.
82%

Answer 1

To find the purchase price of Wilma's game after the successive discounts, we will first calculate the price after each discount step by step.

1. Calculate the first discount of 15%: \[ \text{First discount amount} = 43.89 \times 0.15 = 6.5835 \] \[ \text{Price after first discount} = 43.89 - 6.5835 = 37.3065 \]

2. Calculate the second discount of 5%: \[ \text{Second discount amount} = 37.3065 \times 0.05 = 1.865325 \] \[ \text{Price after second discount} = 37.3065 - 1.865325 = 35.441175 \]

Now, we will calculate the final purchase price as a percentage of the original price of $43.89: \[ \text{Percentage of original price} = \left( \frac{35.441175}{43.89} \right) \times 100 \] Calculating this gives: \[ \frac{35.441175}{43.89} \approx 0.8075 \] \[ 0.8075 \times 100 \approx 80.75% \]

Thus, the purchase price of Wilma’s game is approximately 80.75% of the original price.

The correct answer is: c. 80.75%