https://file.aiquickdraw.com/mathbot/file/17261867874504xrd9nqa.jpg

Let's work through these exercises from the image one by one.

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### 1. **A television listed at ₱15,000 is granted 20%, 10%, and 5% discounts. Find the net invoice price and total discount.**

To calculate the net invoice price (NIP) and total discount with successive discounts, follow these steps:

- **Step 1:** Apply the 20% discount first.
  \[
  15000 \times 0.20 = 3000
  \]
  So, the price after the first discount is:
  \[
  15000 - 3000 = 12000
  \]

- **Step 2:** Apply the 10% discount on the new price.
  \[
  12000 \times 0.10 = 1200
  \]
  So, the price after the second discount is:
  \[
  12000 - 1200 = 10800
  \]

- **Step 3:** Apply the 5% discount on the new price.
  \[
  10800 \times 0.05 = 540
  \]
  So, the final price after the third discount is:
  \[
  10800 - 540 = 10260
  \]

Thus, the **Net Invoice Price (NIP)** is ₱10,260.

The **total discount** is the original price minus the net price:
\[
15000 - 10260 = 4740
\]
So, the total discount is ₱4,740.

---

### 2. **An item listed at ₱4,450 was sold for ₱3,250. Find the discount rate and NIP rate.**

To calculate the discount rate, follow these steps:

- **Step 1:** Find the discount.
  \[
  4450 - 3250 = 1200
  \]
  So, the discount is ₱1,200.

- **Step 2:** Calculate the discount rate as a percentage of the original price:
  \[
  \left( \frac{1200}{4450} \right) \times 100 \approx 26.97\%
  \]

Thus, the **discount rate** is approximately **27%**.

The **Net Invoice Price (NIP) rate** is:
  \[
  \frac{3250}{4450} \times 100 \approx 73.03\%
  \]

---

### 3. **For a date of invoice of May 18, find the deadline for the discount and credit period if the term of payment is \(\frac{2}{15}, \frac{n}{45}\).**

The term \(\frac{2}{15}\) means a 2% discount is offered if paid within 15 days, and \(\frac{n}{45}\) means the full payment (no discount) is due within 45 days.

- **Discount period:** May 18 + 15 days = **June 2**.
- **Credit period:** May 18 + 45 days = **July 2**.

Thus, the **deadline for the discount** is June 2, and the **final payment deadline** is July 2.

---

### 4. **Using the term of payment \(\frac{3}{20}, \frac{n}{60}\), find the cash discount and net amount due if the net invoice price is ₱4,500.**

Here:
- **\(\frac{3}{20}\)** means a 3% discount if paid within 20 days.
- **\(\frac{n}{60}\)** means the full payment is due in 60 days.

- **Step 1:** Calculate the 3% discount:
  \[
  4500 \times 0.03 = 135
  \]

- **Step 2:** Subtract the discount from the net invoice price:
  \[
  4500 - 135 = 4365
  \]

Thus, the **cash discount** is ₱135, and the **net amount due** is ₱4,365 if paid within 20 days.

---

Do you want further clarification or have any specific questions?

Here are 5 related questions for further practice:

1. How do successive discounts differ from applying a single equivalent discount?
2. What would happen if the invoice terms allowed partial payments?
3. How do you calculate the effective discount percentage when multiple discounts are applied?
4. Can you calculate the cash discount if a different percentage is applied but the invoice price remains the same?
5. How would you calculate a late fee based on a percentage if payment was made after the credit period?

**Tip:** Always calculate discounts step by step, starting from the initial amount, and apply them in sequence to avoid errors.

A television listed at ₱15,000 is granted 20%, 10%, and 5% discounts. Find the net invoice price and total discount.

Learn how to calculate the net invoice price and total discount for a television listed at ₱15,000 with 20%, 10%, and 5% successive discounts. A step-by-step guide for high school students, covering percentage calculations and invoice price adjustments.

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