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Question

Sellling 12 pen at a price of Tk 10 yields a loss of a% Selling 12 pen at a price of Tk 12 yields a profit of a%. What is the value of a?

\frac{100}{11}

\frac{11}{100}

ANSWER : 3

Descrption

প্রশ্নমতে, 
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo> × </mo><mfrac><mn>100</mn><mrow><mn>100</mn><mo> - </mo><mi>a</mi></mrow></mfrac><mo> = </mo><mn>12</mn><mo> × </mo><mfrac><mn>100</mn><mrow><mn>100</mn><mo> + </mo><mi>a</mi></mrow></mfrac></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo> </mo><mfrac><mrow><mn>10</mn><mo> × </mo><mn>100</mn></mrow><mrow><mn>100</mn><mo> - </mo><mi>a</mi></mrow></mfrac><mo> = </mo><mfrac><mrow><mn>12</mn><mo> × </mo><mn>100</mn></mrow><mrow><mn>100</mn><mo> + </mo><mi>a</mi></mrow></mfrac></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo> </mo><mfrac><mn>10</mn><mrow><mn>100</mn><mo> - </mo><mi>a</mi></mrow></mfrac><mo> = </mo><mfrac><mn>12</mn><mrow><mn>100</mn><mo> + </mo><mi>a</mi></mrow></mfrac></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo> </mo><mn>1000</mn><mo> + </mo><mn>10</mn><mi>a</mi><mo> = </mo><mn>1200</mn><mo> - </mo><mn>12</mn><mi>a</mi></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo> </mo><mn>10</mn><mi>a</mi><mo> + </mo><mn>12</mn><mi>a</mi><mo> = </mo><mn>1200</mn><mo> - </mo><mn>1000</mn></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo> </mo><mn>22</mn><mi>a</mi><mo> = </mo><mn>200</mn></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mo> </mo><mi>a</mi><mo> = </mo><mfrac><mn>200</mn><mn>22</mn></mfrac></math> <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> = </mo><mfrac><mn>100</mn><mn>11</mn></mfrac></math>

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