Home work Abigail bought a 65 inch television for Gltd 5290.00 including VAT of $$ 15 \% $$. calculate the © Actual cost oq the machine (b) VAT paid on the machine.

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Sure, let's break down the problem step by step.

**Given:**
- **Total Price (including VAT):** Gltd 5,290.00
- **VAT Rate:** 15%

**To Find:**
1. **Actual Cost of the Machine (excluding VAT)**
2. **VAT Paid on the Machine**

---

### **a) Actual Cost of the Machine (Excluding VAT)**

The total price includes the VAT. To find the actual cost before VAT, we can use the following formula:

$$
\text{Actual Cost} = \frac{\text{Total Price}}{1 + \text{VAT Rate}}
$$

Plugging in the numbers:

$$
\text{Actual Cost} = \frac{5,290.00}{1 + 0.15} = \frac{5,290.00}{1.15}
$$

$$
\text{Actual Cost} = 4,600.00 \text{ Gltd}
$$

---

### **b) VAT Paid on the Machine**

There are two ways to calculate the VAT paid:

1. **Subtract the Actual Cost from the Total Price:**

$$
\text{VAT Paid} = \text{Total Price} - \text{Actual Cost} = 5,290.00 - 4,600.00 = 690.00 \text{ Gltd}
$$

2. **Calculate 15% of the Actual Cost:**

$$
\text{VAT Paid} = \text{Actual Cost} \times \text{VAT Rate} = 4,600.00 \times 0.15 = 690.00 \text{ Gltd}
$$

Both methods give the same result.

---

### **Final Answers:**

**a) Actual Cost of the Machine:** Gltd 4,600.00

**b) VAT Paid on the Machine:** Gltd 690.00
**Actual Cost of the Machine:** Gltd 4,600.00 **VAT Paid on the Machine:** Gltd 690.00

Home work Abigail bought a 65 inch television for Gltd 5290.00 including VAT of \( 15 \% \). calculate the © Actual cost oq the machine (b) VAT paid on the machine.

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