Hasib took a loan of 1400 tk with simple interest for as many years as the rate of interest. If he paid 126 th as interest at the end of the loan period , what was the rate of interest?
Hasib took a loan of 1400 tk with simple interest for as many years as the rate of interest. If he paid 126 th as interest at the end of the loan period , what was the rate of interest? Correct Answer 3%
Let rate = R% and time = R years Then <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo> </mo><mfrac><mrow><mn>1400</mn><mo> </mo><mo>×</mo><mo> </mo><mi>R</mi><mo>×</mo><mi>R</mi></mrow><mn>100</mn></mfrac></mrow></mfenced></math> = 126 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mn>14</mn><msup><mi>R</mi><mn>2</mn></msup></math> = 126 <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>R</mi><mn>2</mn></msup></math> = 9 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> R = 3