In a bookstore there is a 30% discount on all books. Customers with a membership are entitled to an additional 10% discount. Andrew has a membership and wants to buy a book that costs 94 dollars. What will the discounted price of the book be?
We have hundreds of course questions with personalized recommendations + Account 100% premium
In a bookstore there is a 30% discount on all books. Customers with a membership are entitled to an additional 10% discount. Andrew has a membership and wants to buy a book that costs 94 dollars. What will the discounted price of the book be?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Apply the first discount of 30% to the original price of $94.
The price after a 30% discount is calculated as follows:
Step 2: Apply the additional membership discount of 10% to the new price.
The final price after the additional 10% discount is calculated as follows:
Therefore, the discounted price Andrew will pay is dollars.
59.22 $
Calculate 15% of 100:
Because the second discount applies to the already reduced price, not the original price! When you get 10% off the discounted price of $65.80, you save less money than 10% of the original $94.
In real-world problems, apply discounts in the order they're given. Here, the store discount comes first, then the membership discount is additional.
Your answer of assumes both discounts apply to the original price. The correct answer shows the membership discount only applies to the already-reduced price of .
Yes! Multiply the original price by both remaining percentages: . This gives the same result as doing it step by step.
Andrew saved total. That's about 37% off the original price, which is less than the 40% you might expect from adding the discounts.
Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime