The difference between compound interest and simple interest is Rs. 228 for a certain sum of money at 8% per annum for \(1\frac{1}{2}\) years, when compound interest is compounded half-yearly and simple interest is computed yearly. What is the sum?  

1
Rs. 46,900
2
Rs. 46,531
3
Rs. 47,000
4
Rs. 46,875

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