A storeowner orders 25 calculators that cost ​$34 each. The storeowner can sell each calculator for ​$49. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a ​$5 charge for each returned calculator​ What is the​ storeowner's profit?

To calculate the storeowner's profit, we need to consider both the revenue generated from selling the calculators and the costs, including the purchase price, the return fee, and the lost revenue from the unsold calculators. Let's break it down:

### 1. **Cost of the calculators:**
The storeowner ordered 25 calculators at $34 each.
\[
\text{Total Cost} = 25 \times 34 = 850 \text{ dollars}
\]

### 2. **Revenue from selling the calculators:**
The storeowner sold 22 calculators at $49 each.
\[
\text{Total Revenue} = 22 \times 49 = 1078 \text{ dollars}
\]

### 3. **Cost of returned calculators:**
The storeowner had to return 3 calculators and pay a $5 charge for each.
\[
\text{Return Charge} = 3 \times 5 = 15 \text{ dollars}
\]

### 4. **Calculating the profit:**
The profit is the total revenue minus the total costs (cost of calculators plus the return charge).
\[
\text{Profit} = 1078 - (850 + 15) = 1078 - 865 = 213 \text{ dollars}
\]

### **Conclusion:**
The storeowner's profit is **$213**.

Would you like further details or have any questions?

Here are five related questions:
1. How would the profit change if the storeowner sold all 25 calculators?
2. What would be the impact on profit if the return charge was $10 per calculator?
3. How many calculators need to be sold at $49 each to break even?
4. What would the profit be if the storeowner received a 10% discount on each calculator ordered?
5. How does changing the selling price to $45 affect the storeowner's profit?

**Tip:** Always calculate the profit by subtracting total costs from total revenue, considering all potential expenses like returns and discounts.

Learn how to calculate the storeowner's profit from selling calculators with a detailed step-by-step solution. This problem covers arithmetic concepts, including calculating costs, revenue, and profit. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation