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Question
The difference between the compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is Tk. 15. Find the principal amount.
Tk. 4,500
Tk. 7,500
Tk. 5,000
Tk. 6,000
ANSWER : 4
Descrption
<pre><math xmlns = "http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mn>1</mn></msub><mo> = </mo><mi>p</mi><mi>n</mi><mi>r</mi> <mo> </mo><mo> = </mo><mo> </mo><mi>p</mi><mo>×</mo><mn>2</mn><mo>×</mo><mfrac><mn>5</mn><mn>1200</mn> </mfrac><mo> = </mo><mfrac><mi>p</mi><mn>10</mn></mfrac></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo> </mo><mo> = </mo><mi>p</mi><mo> </mo><msup> <mfenced><mrow><mn>1</mn><mo> </mo><mo> + </mo><mo> </mo><mfrac><mn>5</mn><mn>100</mn></mfrac></mrow></mfenced><mn>2 </mn></msup><mo> </mo><mo> = </mo><mn>1</mn><mo>.</mo><mn>1025</mn><mi>p</mi><mo> </mo></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mn>2</mn></msub><mo> = </mo><mn>1</mn><mo>.</mo><mn>1</mn> <mo>.</mo><mn>25</mn><mi>p</mi><mo> </mo><mo> - </mo><mo> </mo><mi>p</mi><mo> = </mo><mo> </mo><mn>0</mn><mo> .</mo><mn>1025</mn><mi>p</mi><mo> </mo></math> শর্তমতে, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>1025</mn><mi>p</mi><mo> </mo><mo> - </mo><mo> </mo><mfrac><mi>p</mi><mn>10</mn></mfrac><mo> </mo><mo> = </mo><mn>15</mn></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> </mo><mo>⇒</mo><mn>0</mn><mo>.</mo><mn>1025</mn><mi>p</mi><mo> </mo><mo> = </mo><mn>150</mn></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mi>p</mi><mo> = </mo><mn>6000</mn></math> </pre>
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