The marked price of an article = Rs. 9,000 and rate of GST on it `=18%`. A shopkeeper buys this article at a reduced price and sells it at its marked price. If the shopkeeper paid Rs. 162 as CGST to the government, find the amount (inclusive of GST) paid by the shopkeeper.

Answer

To solve the problem step by step, we will follow the outlined process:

### Step 1: Understand the given information
- Marked Price (MP) of the article = Rs. 9,000
- Rate of GST = 18%
- CGST paid = Rs. 162

### Step 2: Calculate the total GST paid
Since CGST and SGST are equal, we can calculate the total GST:
- Total GST = CGST + SGST = Rs. 162 + Rs. 162 = Rs. 324

### Step 3: Set up the equation for GST
Let the cost price (CP) of the article be Rs. X. The GST on the selling price (SP) and cost price can be expressed as:
- GST on Selling Price = 18% of SP = 18% of Rs. 9,000
- GST on Cost Price = 18% of CP = 18% of Rs. X

The difference between the GST on Selling Price and the GST on Cost Price is equal to the total GST paid:
\[ \text{GST on SP} - \text{GST on CP} = \text{Total GST} \]
This can be written as:
\[ (0.18 \times 9000) - (0.18 \times X) = 324 \]

### Step 4: Solve for X
Calculating GST on Selling Price:
\[ 0.18 \times 9000 = 1620 \]
Now substituting this value into the equation:
\[ 1620 - 0.18X = 324 \]
Rearranging gives:
\[ 1620 - 324 = 0.18X \]
\[ 1296 = 0.18X \]
Dividing both sides by 0.18:
\[ X = \frac{1296}{0.18} = 7200 \]

### Step 5: Calculate the total amount paid by the shopkeeper
Now that we have the cost price (CP) as Rs. 7,200, we can find the total amount paid by the shopkeeper including GST:
\[ \text{Total Amount} = \text{Cost Price} + \text{GST on Cost Price} \]
Calculating GST on Cost Price:
\[ \text{GST on CP} = 0.18 \times 7200 = 1296 \]
Thus,
\[ \text{Total Amount} = 7200 + 1296 = 8496 \]

### Final Answer
The total amount paid by the shopkeeper, inclusive of GST, is Rs. 8,496.

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