The difference between simple and compound interest on a sum of money at 20% per annum for 3 years is Tk. 48. What is the sum ?

A Tk. 550
B Tk. 500
C Tk. 375
D Tk. 400

Correct Answer: Tk. 375

Let principal amount be Tk.100. Then, S.I. = (100 × 20 × 3)/100 = Tk.60 and C.I. = 100 (1 + 20/100)^3−100 = 100 × (6/5)^3−100 = 364/5 ∴ C.I. - S.I. = 364/5−60 = 64/5 If the difference is Tk.64/5, Principal = Tk.100 If difference is Tk.48 Principal = (100 × 5/64) × 48 = Tk.375
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