Subject
Quantitative Aptitude
Topic
Interest
The difference between the simple interest and the compound interest compounded every six months at the rate of 30% per annum, at the end of 1 ½ years is Tk. What is the sum?
The difference between the simple interest and the compound interest compounded every six months at the rate of 30% per annum, at the end of 1 ½ years is Tk. What is the sum?
ক)
Tk. 80000খ)
Tk.60000গ)
Tk.64000ঘ)
Tk.72000Explanation
Explanation: C I = P[(1+ r/100)n -1] S I = P r n /100 Given, CI is compounded every six months, in this case r = 30/2 =15% and n =3 Let ‘P’ be the required sum, Then, P [(1+ 15/100)³ -1] – P × 30 × 1.5/100 = Tk.5670 i.e. P [ ( 1.15 × 1.15 × 1.15) – 1] – 0.45P = 5670 P( 1.520875 – 1) – 0.45P = 5670 P ( 0.520875 – 0.45) = 5670 P = 5670/0.70875 = TK.80000.Related questions
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