A sports store purchased tennis racquets for ​$65.6965.69 less 2525​% for purchasing more than 100​ items, and a further 36 %36% was reduced for purchasing the racquets in October. The racquets were sold to customers for $ 52.96. What is the markup as a percent of selling price?

Let's break this down step-by-step to find the markup percentage based on the selling price.

### Step 1: Determine the purchase price after the discounts.

- The initial price of the tennis racquets was $65.69.
- The store received a 25% discount for purchasing more than 100 items, followed by an additional 36% discount for purchasing them in October.

#### First Discount (25% off):
\[
65.69 \times (1 - 0.25) = 65.69 \times 0.75 = 49.2675
\]
The price after the first discount is $49.27.

#### Second Discount (36% off):
\[
49.2675 \times (1 - 0.36) = 49.2675 \times 0.64 = 31.5312
\]
The final purchase price after both discounts is approximately **$31.53**.

### Step 2: Calculate the markup.

The racquets were sold to customers for $52.96. The markup is the difference between the selling price and the final purchase price:
\[
\text{Markup} = 52.96 - 31.53 = 21.43
\]

### Step 3: Express the markup as a percentage of the selling price.

The formula for markup percentage based on the selling price is:
\[
\text{Markup Percentage} = \left( \frac{\text{Markup}}{\text{Selling Price}} \right) \times 100
\]
Substitute the values:
\[
\text{Markup Percentage} = \left( \frac{21.43}{52.96} \right) \times 100 \approx 40.47\%
\]

### Final Answer:
The markup is approximately **40.47%** of the selling price.

Would you like further clarification or additional details? Here are 5 related questions you might explore:

1. How does markup differ when calculated based on cost versus selling price?
2. How would the markup percentage change if the selling price were $60 instead of $52.96?
3. What is the importance of calculating markup percentages in retail businesses?
4. Can you calculate the final selling price if the markup is fixed at 50% of the selling price?
5. How does a compound discount (like 25% followed by 36%) affect the total cost compared to a single larger discount?

**Tip:** When applying multiple discounts, always apply them sequentially, not as a single sum.

A sports store purchased tennis racquets for $65.69 less 25% for purchasing more than 100 items, and a further 36% was reduced for purchasing the racquets in October. The racquets were sold to customers for $52.96. What is the markup as a percent of selling price?

Learn how to calculate the markup percentage when a sports store purchases tennis racquets at a discounted price and sells them for $52.96. This problem covers percentage discount applications and markup calculations. Suitable for students in Grades 9-12.

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