https://file.aiquickdraw.com/mathbot/file/172648659273835m49x6d.jpg

Let's break down and solve each of the given problems step by step.

### 1. Wall Clock Problem
**Given:**
- Net Invoice Price (NIP) = ₱28,827.88
- Discount granted = 18%

We need to find:
a) Net invoice price rate  
b) List price  
c) Discount amount

**Solution:**
a) **Net Invoice Price Rate**  
The net invoice price rate is simply 100% minus the discount rate.  
\[
\text{NIP rate} = 100\% - 18\% = 82\%
\]

b) **List Price**  
To find the list price, we use the formula:
\[
\text{List Price} = \frac{\text{Net Invoice Price}}{\text{NIP rate}}
\]
\[
\text{List Price} = \frac{28,827.88}{0.82} \approx ₱35,156.68
\]

c) **Discount Amount**  
The discount amount can be calculated as:
\[
\text{Discount} = \text{List Price} - \text{Net Invoice Price}
\]
\[
\text{Discount} = ₱35,156.68 - ₱28,827.88 \approx ₱6,328.80
\]

### 2. Dining Table Problem
**Given:**
- Net Invoice Price (NIP) = ₱6,187.50
- NIP is 75% of the original price.

We need to find:
a) Original price  
b) Discount amount  
c) Discount rate

**Solution:**
a) **Original Price**  
Since NIP represents 75% of the original price, the original price is:
\[
\text{Original Price} = \frac{\text{NIP}}{0.75} = \frac{6,187.50}{0.75} = ₱8,250
\]

b) **Discount Amount**  
The discount amount is:
\[
\text{Discount} = \text{Original Price} - \text{Net Invoice Price} = ₱8,250 - ₱6,187.50 = ₱2,062.50
\]

c) **Discount Rate**  
The discount rate is calculated as:
\[
\text{Discount Rate} = \frac{\text{Discount}}{\text{Original Price}} \times 100 = \frac{2,062.50}{8,250} \times 100 = 25\%
\]

### 3. Washing Machine Problem
**Given:**
- List price = ₱20,040
- Discounts granted = 20%, 10%, and 5%

We need to find:
a) Net invoice price  
b) Total discount

**Solution:**
The net invoice price after successive discounts can be calculated as follows:

1. After 20% discount:  
\[
\text{Price after 20\% discount} = 20,040 \times (1 - 0.20) = ₱16,032
\]

2. After 10% discount:  
\[
\text{Price after 10\% discount} = 16,032 \times (1 - 0.10) = ₱14,428.80
\]

3. After 5% discount:  
\[
\text{Net Invoice Price} = 14,428.80 \times (1 - 0.05) = ₱13,707.36
\]

b) **Total Discount**  
\[
\text{Total Discount} = \text{List Price} - \text{Net Invoice Price} = ₱20,040 - ₱13,707.36 = ₱6,332.64
\]

### 4. Completing the Table
From the provided table, let's complete the missing data.

For the item with an original price of **₱725.00** and a 3% discount rate:
1. **Trade Discount**:  
The trade discount is calculated as:
\[
\text{Trade Discount} = \text{Original Price} \times \text{Discount Rate} = ₱725 \times 0.03 = ₱21.75
\]

2. **Net Invoice Price**:  
\[
\text{Net Invoice Price} = \text{Original Price} - \text{Trade Discount} = ₱725 - ₱21.75 = ₱703.25
\]

Now, do you need any further details or have any questions?  

### 5 Follow-up Questions:
1. How do we calculate successive discounts on items?
2. What would happen if we reversed the discount percentages in question 3?
3. Can the NIP rate be greater than 100%? Why or why not?
4. What other real-world situations use similar discount calculations?
5. How does the concept of a "list price" apply in retail pricing strategies?

### Tip:
Always remember that successive discounts are multiplicative, not additive. This means that each discount is applied to the price after the previous discount is applied.

The net invoice price of a wall clock is ₱28,827.88 with an 18% discount. The net price of a dining table is ₱6,187.50, representing 75% of the original price. A washing machine listed at ₱20,040 is granted successive discounts of 20%, 10%, and 5%. Find the list price, discount, and net invoice price for each.

This guide shows how to calculate discounts and net invoice prices for various items including a wall clock, dining table, and washing machine. Learn how to find list prices, discount amounts, and apply successive discounts.

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