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 cost?

Let's calculate the markup percentage step-by-step based on the given information.

### Step 1: Calculate the cost price of the tennis racquets.

The initial cost per racquet is $65.69. The store received two successive discounts:
- A 25% discount for purchasing more than 100 items.
- A 36% discount for purchasing in October.

#### Apply the first discount of 25%:
\[
\text{Discounted price after 25\% discount} = 65.69 \times (1 - 0.25) = 65.69 \times 0.75 = 49.2675
\]

#### Apply the second discount of 36%:
\[
\text{Final cost price after 36\% discount} = 49.2675 \times (1 - 0.36) = 49.2675 \times 0.64 = 31.5312
\]
Thus, the final cost per racquet is $31.53.

### Step 2: Calculate the markup.

The selling price of the racquet is $52.96, and the cost price is $31.53. The markup is calculated as:
\[
\text{Markup} = \text{Selling Price} - \text{Cost Price} = 52.96 - 31.53 = 21.43
\]

### Step 3: Calculate the markup as a percent of cost.

The markup percentage is given by:
\[
\text{Markup Percent} = \left(\frac{\text{Markup}}{\text{Cost Price}}\right) \times 100 = \left(\frac{21.43}{31.53}\right) \times 100 \approx 67.96\%
\]

### Final Answer:
The markup as a percent of cost is approximately **67.96%**.

Would you like further details or have any questions about the steps?

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Here are 5 related questions to expand your understanding:
1. How does a successive discount differ from a single equivalent discount?
2. How would the markup change if the selling price were increased to $55?
3. What is the importance of markup in retail pricing strategy?
4. How would the calculation change if the discounts were applied in reverse order?
5. How is markup different from profit margin in percentage terms?

**Tip:** When multiple discounts are applied successively, always apply one at a time and multiply the price by the remaining percentage after each discount.

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 cost?

This detailed problem demonstrates how to calculate the markup percentage when a sports store applies successive discounts on tennis racquets. Learn to apply percentage formulas and understand how discounts affect cost price and markup. Suitable for Grades 8-10 students.

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