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The table you've provided contains several columns with missing values related to pricing, discount rates, and net prices. Let's break down the table and compute the missing values.

The columns in the table are as follows:
1. **Original Price** (OP) 
2. **Discount Rate** (DR)
3. **Trade Discount** (TD)
4. **Net Price** (NP)
5. **Net Price Rate** (NP Rate)

The relationships between the columns are typically as follows:
- **Trade Discount (TD)** = OP × DR
- **Net Price (NP)** = OP − TD
- **Net Price Rate** = 1 − DR (in percentage)

### Let’s solve the table step-by-step:

#### Row 1:
- **Original Price** = P385
- **Discount Rate** = 9%
- **Net Price Rate** = 91% (1 − 9%)
- Using the formula:
  - **Trade Discount** = 385 × 9% = P34.65
  - **Net Price** = 385 − 34.65 = P350.35

#### Row 2:
- **Original Price** = P3,100
- **Trade Discount** = P900
- Calculate **Discount Rate**:
  - **Discount Rate** = (900 ÷ 3100) × 100 = 29%
- **Net Price** = 3,100 − 900 = P2,200
- **Net Price Rate** = 100% − 29% = 71%

#### Row 3:
- **Original Price** = P1,200
- **Discount Rate** = 6%
- **Net Price** = P855
- Calculate **Trade Discount**:
  - **Net Price** = OP − TD, so TD = OP − NP
  - **Trade Discount** = 1,200 − 855 = P345
- **Net Price Rate** = 100% − 6% = 94%

#### Row 4:
- **Original Price** = Missing
- **Discount Rate** = 5%
- **Trade Discount** = Missing
- **Net Price** = P1,705.75
- **Net Price Rate** = 95%
- Using the formula:
  - **Net Price Rate** = 1 − DR = 95%, so DR = 5%
  - Since **NP** = OP − TD, and TD = OP × DR:
    - Let OP = x, so:
    - 1705.75 = x − (x × 0.05) = 0.95x
    - OP = 1,705.75 ÷ 0.95 = P1,795

Now the completed table would look like this:

| Original Price | Discount Rate | Trade Discount | Net Price | NP Rate |
|----------------|---------------|----------------|-----------|---------|
| P385           | 9%            | P34.65         | P350.35   | 91%     |
| P3,100         | 29%           | P900           | P2,200    | 71%     |
| P1,200         | 6%            | P345           | P855      | 94%     |
| P1,795         | 5%            | P89.75         | P1,705.75 | 95%     |

Would you like more detailed explanations on any part of this calculation? Here are some further questions for you to explore:

1. How would you calculate the net price if both the discount rate and trade discount were missing?
2. What happens to the net price when the discount rate increases?
3. Can you compute the trade discount for a different set of values, say, a 12% discount on P500?
4. What is the relationship between the original price and the net price rate?
5. How do you calculate the net price if only the net price rate is provided?

**Tip:** Always double-check your percentage calculations by converting percentages into decimal form before applying them to the original values.

Fill in the missing values in a pricing table using given formulas for Original Price, Discount Rate, Trade Discount, Net Price, and Net Price Rate.

Learn how to fill in the missing values in a pricing table, including calculating trade discount, net price, and discount rate based on original price and other variables. This step-by-step guide will help students in Grades 7-9 master percentage and algebraic calculations.

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