Bunuel
A video game goes on sale for 15% off the original price and a customer can save an additional 10% on the sale price if she has a coupon. If Bailey buys the video game at the sale price and uses a coupon, what percent of the original price does she pay?
A. 12.5%
B. 25%
C. 75%
D. 76.5%
E. 83.5%
Let the original price be x. With the 15% discount, the price reduces to 0.85x. With the additional discount, the price is further reduced to 0.9 * 0.85x = 0.765x. Thus, Bailey paid 76.5% of the original price.
Alternate Solution:Suppose the original price of the game is 1000. After the 15% discount, the price becomes 0.85 * 1000 = 85/100 * 1000 = 850. Applying another discount of 10%, the price becomes 0.9 * 850 = 9/10 * 850 = 9 * 85 = 765. We see that the price Bailey paid was 765/1000 = 0.765 = 76.5% of the original price.
Answer: D