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Question

The simple interest on a certain sum of money at the rate of 5% p.a. for 8 years is Tk. 840. At what rate of interest the same amount of interest can be received on the same sum after 5 years?

10%

ANSWER : 2

Descrption

<pre>"প্রথম ক্ষেত্রে,
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>840</mn><mo> </mo><mo> = </mo><mo> </mo><mi>P</mi><mo> </mo>
<mo>  ×  </mo><mo> </mo><mn>8</mn><mo> </mo><mo>  ×  </mo><mo> </mo><mfrac><mn>5</mn><mn>100</mn></mfrac>
<mo> </mo><mo>[</mo><mo> </mo><mo>∵</mo><mo> </mo><mi>I</mi><mo> </mo><mo> = </mo><mo> </mo
><mi>p</mi><mi>n</mi><mi>r</mi><mo>]</mo><mo> </mo></math>
বা, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo> </mo><mo> = </mo><mo> </mo><mfrac><mrow><mn>840</mn><mo>
 </mo><mo>  ×  </mo><mo> </mo><mn>100</mn></mrow><mrow><mn>8</mn><mo> </mo><mo>  ×  </mo><mo> </mo>
<mn>4</mn></mrow></mfrac><mo> </mo><mo> = </mo><mo> </mo><mn>105</mn><mo> </mo><mo>  ×  </mo><mo> </mo>
<mn>20</mn></math>
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mo> </mo><mi>P</mi><mo> </mo><mo> = </mo>
<mo> </mo><mn>2100</mn></math>
অর্থাৎ আসল 2100 টাকা 
দ্বিতীয় ক্ষেত্রে, 840  =  2100  <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>  ×  </mo></math> 5 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>  ×  </mo></math> r 
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo> </mo><mi>r</mi><mo> </mo><mo> = </mo><mfrac><mn>840</mn><mrow><mn>2100</mn><mo> </mo><mo>  ×  </mo><mo> </mo><mn>5</mn></mrow></mfrac><mo> </mo><mo>  ×  </mo><mo> </mo><mn>100</mn><mo>%</mo><mo> </mo><mo> = </mo><mo> </mo><mn>8</mn><mo>%</mo></math>

</pre>

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