https://r2.erweima.ai/mathbot/image/1725550205628db4nmz9w.jpg

Let's go through the questions in the image one by one and solve them. I'll begin with the first few questions:

### Question 4:
Yuki bought a notebook set for ₱260. She spent ₱20 for transportation. She sold her notebook for ₱270.

**(a) How much is the profit or loss?**
- Cost price: ₱260 + ₱20 = ₱280 (includes transportation cost).
- Selling price: ₱270.

Profit/Loss = Selling price - Cost price
\[ \text{Profit or Loss} = 270 - 280 = -₱10 \]
This is a loss of ₱10.

**(b) What is the profit/loss percent?**
To calculate the loss percentage:
\[
\text{Loss \%} = \left(\frac{\text{Loss}}{\text{Cost price}}\right) \times 100 = \left(\frac{10}{280}\right) \times 100 = 3.57\%
\]
Thus, the loss percentage is 3.57%.

---

### Question 5:
The total cost for Aling Nena to produce Buko Pie is broken down into fixed and variable costs. Fixed cost is ₱35,000 per week, and the variable cost is ₱160 for each box of buko pie. She sells buko pies at ₱300 per piece.

#### (a) What is the total cost for producing:
1. **950 boxes of buko pie?**
   - Total cost = Fixed cost + (Variable cost per box × Number of boxes).
   \[
   \text{Total cost} = 35,000 + (160 \times 950) = 35,000 + 152,000 = 187,000
   \]
   So, the total cost is ₱187,000.

2. **1,000 boxes of buko pie?**
   \[
   \text{Total cost} = 35,000 + (160 \times 1,000) = 35,000 + 160,000 = 195,000
   \]
   So, the total cost is ₱195,000.

3. **1,800 boxes of buko pie?**
   \[
   \text{Total cost} = 35,000 + (160 \times 1,800) = 35,000 + 288,000 = 323,000
   \]
   So, the total cost is ₱323,000.

#### (b) What is the revenue when Aling Nena sells:
1. **1,200 boxes a week?**
   Revenue = Selling price per box × Number of boxes.
   \[
   \text{Revenue} = 300 \times 1,200 = 360,000
   \]
   So, the revenue is ₱360,000.

2. **1,300 boxes a week?**
   \[
   \text{Revenue} = 300 \times 1,300 = 390,000
   \]
   So, the revenue is ₱390,000.

3. **1,500 boxes a week?**
   \[
   \text{Revenue} = 300 \times 1,500 = 450,000
   \]
   So, the revenue is ₱450,000.

#### (c) Does Aling Nena make a profit when she sells 2,000 boxes a week?
- Total cost: 
  \[
  \text{Total cost} = 35,000 + (160 \times 2,000) = 35,000 + 320,000 = 355,000
  \]
- Revenue:
  \[
  \text{Revenue} = 300 \times 2,000 = 600,000
  \]
Profit = Revenue - Total cost
\[
\text{Profit} = 600,000 - 355,000 = 245,000
\]
Yes, Aling Nena makes a profit of ₱245,000 when she sells 2,000 boxes a week.

---

Would you like to go over the last question (Question 6) now or dive deeper into any part of these solutions? 

Here are five related questions that expand on the information:
1. How would Yuki's profit/loss change if she sold the notebook for ₱290 instead?
2. What is the breakeven point (number of boxes) for Aling Nena to cover her total cost of production?
3. If the variable cost of buko pie increases by ₱20 per box, what would the new total cost be for producing 1,000 boxes?
4. How much would Aling Nena’s profit be if she only sells 1,500 boxes but the fixed cost drops by ₱5,000 per week?
5. What would be the profit margin (percentage) for Aling Nena when selling 2,000 boxes?

Tip: Always check whether a cost includes any hidden factors like transportation or labor when calculating profit/loss to avoid underestimating expenses!

Yuki bought a notebook set for ₱260. She spent ₱20 for transportation. She sold her notebook for ₱270. How much is the profit or loss? What is the profit/loss percent? Aling Nena has fixed and variable costs for producing buko pies. She has a fixed cost of ₱35,000 per week, a variable cost of ₱160 per pie, and sells each pie for ₱300. What is her total cost for producing 950, 1000, and 1800 boxes? What is her revenue for selling 1200, 1300, and 1500 boxes? Does she make a profit for selling 2000 boxes?

Learn how to calculate profit and loss percentages, total costs, and revenues for a buko pie business. Includes step-by-step solutions for different box quantities, including fixed and variable cost breakdowns. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation