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Mr. Pankaj took Health Insurance Policy ...

Mr. Pankaj took Health Insurance Policy for his family and paid Rs. 900 as SGST. Find the total annual premium including GST, paid by him for this policy rate of GST being `18%`

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To find the total annual premium including GST paid by Mr. Pankaj for his health insurance policy, we can follow these steps: ### Step 1: Understand the given information - SGST paid by Mr. Pankaj = Rs. 900 - Rate of GST = 18% - Since SGST and CGST are equal, SGST = CGST = 9% of the basic premium amount. ### Step 2: Set up the equation for SGST Let the basic premium amount be \( P \) rupees. The SGST can be expressed as: \[ \text{SGST} = 9\% \text{ of } P = \frac{9}{100} \times P = 0.09P \] Given that SGST = Rs. 900, we can set up the equation: \[ 0.09P = 900 \] ### Step 3: Solve for the basic premium amount \( P \) To find \( P \), we rearrange the equation: \[ P = \frac{900}{0.09} \] Calculating this gives: \[ P = 10000 \text{ rupees} \] ### Step 4: Calculate the total GST Now, we need to calculate the total GST on the basic premium amount. The total GST is 18% of \( P \): \[ \text{Total GST} = 18\% \text{ of } P = \frac{18}{100} \times 10000 = 1800 \text{ rupees} \] ### Step 5: Calculate the total annual premium including GST The total annual premium including GST is the sum of the basic premium and the total GST: \[ \text{Total Premium} = P + \text{Total GST} = 10000 + 1800 = 11800 \text{ rupees} \] ### Final Answer The total annual premium including GST paid by Mr. Pankaj for the health insurance policy is **Rs. 11,800**. ---
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