Mohona deposits Tk 10,000 into a sacings account that pays interest at an annual rate of 8% compounded quarterly. After 6 months, how much interest has Mohona earned?

Mohona deposits Tk 10,000 into a sacings account that pays interest at an annual rate of 8% compounded quarterly. After 6 months, how much interest has Mohona earned? Correct Answer Tk 404

চক্রবৃদ্ধি মুনাফার ক্ষেত্রে সবৃদ্ধিমূল C = P(1 + r)n = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>1000</mn><msup><mfenced><mrow><mn>1</mn><mo> + </mo><mfrac><mn>8</mn><mn>400</mn></mfrac></mrow></mfenced><mn>2</mn></msup></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>1000</mn><msup><mfenced><mfrac><mn>408</mn><mn>400</mn></mfrac></mfenced><mn>2</mn></msup></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>1000</mn><msup><mfenced><mfrac><mn>51</mn><mn>50</mn></mfrac></mfenced><mn>2</mn></msup></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>1000</mn><mfrac><mn>51</mn><mn>50</mn></mfrac><mo>&#xD7;</mo><mfrac><mn>51</mn><mn>50</mn></mfrac><mo> = </mo><mn>10404</mn></math>এখানে, P = 1000r = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>8</mn><mo>%</mo></mrow><mn>4</mn></mfrac><mo> = </mo><mfrac><mn>8</mn><mstyle displaystyle = "true"><mfrac><mn>100</mn><mn>4</mn></mfrac></mstyle></mfrac><mo> = </mo><mfrac><mrow><mn>0</mn><mo>.</mo><mn>08</mn></mrow><mn>4</mn></mfrac><mo> = </mo><mn>0</mn><mo>.</mo><mn>02</mn></math>n = 2 যেহেতু ৬ মাস = 2 quaterআর, quater = 3 মাস বা <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>12</mn></mfrac></math> বা <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>4</mn></mfrac></math> বছর যাকে rate - এর সাথে গুণ দিতে হবে ।মুনাফা = (10404 - 10000) = 404 টাকা।
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