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

Tk. 200

Tk. 240

Tk. 404

Tk. 560

Mohona deposits Tk. 10,000 into a savings 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

আমরা জানি, compound amount, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>C</mi><mo> = </mo><mi>P</mi><msup><mfenced><mrow><mn>1</mn><mo> + </mo><mi>r</mi></mrow></mfenced><mi>n</mi></msup></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mi>C</mi><mo> = </mo><mn>10000</mn><msup><mfenced><mrow><mn>1</mn><mo> + </mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>×</mo><mfrac><mn>8</mn><mn>100</mn></mfrac></mrow></mfenced><mn>2</mn></msup><mi>এ</mi><mi>খ</mi><mi>া</mi><mi>ন</mi><mi>ে</mi><mo>,</mo><mo> </mo><mi>P</mi><mo> = </mo><mn>1000</mn><mo> </mo><mo>;</mo><mo> </mo><mi>r</mi><mo> = </mo><mn>8</mn><mo>%</mo><mo> = </mo><mfrac><mn>8</mn><mn>100</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mn>1000</mn><msup><mfenced><mfrac><mn>408</mn><mn>400</mn></mfrac></mfenced><mn>2</mn></msup><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mi>Q</mi><mi>u</mi><mi>a</mi><mi>r</mi><mi>t</mi><mi>e</mi><mi>r</mi><mi>l</mi><mi>y</mi><mo> </mo><mi>ম</mi><mi>া</mi><mi>ন</mi><mi>ে</mi><mo> </mo><mn>3</mn><mi>ম</mi><mi>া</mi><mi>স</mi><mo> </mo><mi>প</mi><mi>র</mi><mi>প</mi><mi>র</mi><mi>i</mi><mi>n</mi><mi>t</mi><mi>e</mi><mi>r</mi><mi>e</mi><mi>s</mi><mi>t</mi><mo> </mo><mi>য</mi><mi>ো</mi><mi>গ</mi><mo> </mo><mi>হ</mi><mi>য়</mi><mo> </mo><mi>ত</mi><mi>া</mi><mi>ই</mi><mo> </mo><mi>ব</mi><mi>া</mi><mi>ষ</mi><mi>ি</mi><mi>ক</mi><mo> </mo><mi>i</mi><mi>n</mi><mi>t</mi><mi>e</mi><mi>r</mi><mi>e</mi><mi>s</mi><mi>t</mi><mo> </mo><mi>হ</mi><mi>া</mi><mi>র</mi><mo> </mo><mfrac><mn>8</mn><mn>100</mn></mfrac><mo> </mo><mi>ক</mi><mi>ে</mi><mo> </mo><mfrac><mn>3</mn><mn>12</mn></mfrac><mo> </mo><mi>ব</mi><mi>া</mi><mo> </mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mi>দ</mi><mi>ি</mi><mi>য়</mi><mi>ে</mi><mo> </mo><mi>গ</mi><mi>ু</mi><mi>ণ</mi><mo> </mo><mi>ক</mi><mi>র</mi><mi>ত</mi><mi>ে</mi><mo> </mo><mi>হ</mi><mi>ব</mi><mi>ে</mi><mi>।</mi><mspace linebreak = "newline"/><mo> = </mo><mn>10000</mn><msup><mfenced><mfrac><mn>51</mn><mn>50</mn></mfrac></mfenced><mn>2</mn></msup><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mi>n</mi><mo> = </mo><mfrac><mn>6</mn><mn>3</mn></mfrac><mo> = </mo><mn>2</mn><mspace linebreak = "newline"/><mo> = </mo><mn>10000</mn><mfrac><mn>51</mn><mn>50</mn></mfrac><mo>×</mo><mfrac><mn>51</mn><mn>50</mn></mfrac><mo> = </mo><mn>10404</mn></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mo> </mo><mi>I</mi><mi>n</mi><mi>t</mi><mi>e</mi><mi>r</mi><mi>e</mi><mi>s</mi><mi>t</mi><mo> = </mo><mi>C</mi><mo> - </mo><mi>P</mi><mo> = </mo><mfenced><mrow><mn>10404</mn><mo> - </mo><mn>10000</mn></mrow></mfenced><mo> = </mo><mn>404</mn><mo> </mo><mi>T</mi><mi>a</mi><mi>k</mi><mi>a</mi></math>

Bissoy MCQ Team

May 27, 2023

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

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