1. **Stating the problem:**
We need to find the original cost price of each tennis racquet before discounts, given the final selling price and two successive discounts.
2. **Understanding the discounts:**
- The store purchased racquets at $57.04 each.
- First discount: 44% off for buying more than 100 items.
- Second discount: 33% off for purchasing in October.
- Selling price to customers is $63.29.
3. **Calculating the cost price after discounts:**
Let the original price be $P = 57.04$.
First discount reduces price to:
$$P_1 = P \times (1 - 0.44) = 57.04 \times 0.56 = 31.9424$$
Second discount reduces price further to:
$$P_2 = P_1 \times (1 - 0.33) = 31.9424 \times 0.67 = 21.401808$$
So, the cost price per racquet after discounts is approximately $21.40$.
4. **Calculating markup as a percent of cost:**
Markup = Selling price - Cost price
$$= 63.29 - 21.401808 = 41.888192$$
Markup percent of cost:
$$\frac{41.888192}{21.401808} \times 100 = 195.8\%$$
5. **Calculating markup as a percent of selling price:**
Markup percent of selling price:
$$\frac{41.888192}{63.29} \times 100 = 66.2\%$$
**Final answers:**
- (a) Cost price per racquet = $21.40$
- (b) Markup as percent of cost = $195.8\%$
- (c) Markup as percent of selling price = $66.2\%$
Racquet Cost Markup 46F663
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