How much should a food manufacturer sell pound of canned meat if his cost is P30 per can and he wants to make a 20% profit on the selling price for after giving away an 8% discount?

To find out how much the food manufacturer should sell each pound of canned meat, we need to consider both the desired profit margin and the discount given.

Let's break down the steps:

1. **Let \( x \) be the selling price per pound** before the discount.

2. **Apply the 8% discount**:  
   After applying an 8% discount, the price becomes \( 0.92x \).

3. **Calculate the cost after profit**:  
   The manufacturer wants to make a 20% profit on the selling price (after the discount). So, the selling price (after the discount) should be 120% of the cost price (30 pesos).  
   Therefore,  
   \[
   0.92x = 1.2 \times 30
   \]
   \[
   0.92x = 36
   \]

4. **Solve for \( x \)** (the original selling price before the discount):
   \[
   x = \frac{36}{0.92}
   \]
   \[
   x \approx 39.13 \text{ pesos}
   \]

So, the food manufacturer should sell each pound of canned meat for approximately **39.13 pesos** before the 8% discount to achieve a 20% profit margin.

Would you like more details or have any other questions?

---

**Related Questions:**
1. What if the discount was 10% instead of 8%?
2. How would the selling price change if the desired profit margin increased to 25%?
3. What if the cost of the canned meat increased to 35 pesos per can?
4. How does the final selling price change if no discount is applied?
5. What is the profit in pesos after applying the discount?

**Tip:** When calculating profit margins, always make sure whether it's applied before or after any discounts, as it affects the final selling price.

Learn how to calculate the selling price of canned meat with a 20% profit margin after applying an 8% discount. Understand the step-by-step process involving cost calculation, profit margin determination, and discount application.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation