How much interest will Tk. 2000 earn in one year at an annual rate of 8% if the interest is compounded every six months?

How much interest will Tk. 2000 earn in one year at an annual rate of 8% if the interest is compounded every six months? Correct Answer Tk. 163.20

আমরা জানি,Compound amount, C = P<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>(</mo><mn>1</mn><mo> + </mo><mfrac><mi mathvariant = "normal">&#x3C0;</mi><mi>m</mi></mfrac><msup><mo>)</mo><mrow><mi>n</mi><mo>&#xD7;</mo><mi>m</mi></mrow></msup></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>2000</mn><mo>(</mo><mn>1</mn><mo> + </mo><mfrac><mrow><mn>0</mn><mo>.</mo><mn>08</mn></mrow><mn>2</mn></mfrac><msup><mo>)</mo><mrow><mn>1</mn><mo>&#xD7;</mo><mn>2</mn></mrow></msup></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>2000</mn><mo>(</mo><mn>1</mn><mo> + </mo><mn>0</mn><mo>.</mo><mn>04</mn><msup><mo>)</mo><mn>2</mn></msup></math> = 2000×1.0816 = 2163.20so Interest = C - P = (2163.20 - 2000) = 163.20 টাকা।
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