In an inter-state transaction, goods worth Rs 15,000 are bought at 20% discount. If the rate of GST is 5%, find the amount of bill.

Answer

To solve the problem step by step, we will follow the calculations as outlined in the video transcript.

### Step 1: Calculate the Discount Amount
The original price of the goods is Rs 15,000, and the discount is 20%.

**Formula for Discount:**
\[ \text{Discount} = \left(\frac{\text{Discount Percentage}}{100}\right) \times \text{Original Price} \]

**Calculation:**
\[ \text{Discount} = \left(\frac{20}{100}\right) \times 15,000 = 0.20 \times 15,000 = 3,000 \]

### Step 2: Calculate the Discounted Price
Now, we subtract the discount from the original price to find the discounted price.

**Formula for Discounted Price:**
\[ \text{Discounted Price} = \text{Original Price} - \text{Discount} \]

**Calculation:**
\[ \text{Discounted Price} = 15,000 - 3,000 = 12,000 \]

### Step 3: Calculate the GST Amount
The GST rate is 5%. We will now calculate the GST on the discounted price.

**Formula for GST:**
\[ \text{GST} = \left(\frac{\text{GST Percentage}}{100}\right) \times \text{Discounted Price} \]

**Calculation:**
\[ \text{GST} = \left(\frac{5}{100}\right) \times 12,000 = 0.05 \times 12,000 = 600 \]

### Step 4: Calculate the Total Amount of the Bill
Finally, we add the GST amount to the discounted price to find the total bill amount.

**Formula for Total Amount:**
\[ \text{Total Amount} = \text{Discounted Price} + \text{GST} \]

**Calculation:**
\[ \text{Total Amount} = 12,000 + 600 = 12,600 \]

### Final Answer
The total amount of the bill is Rs 12,600.

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