Question

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.
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%**