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?

A 3%
B 6%
C 9%
D 12%

Correct Answer: 3%

Let rate = R% and time = R years Then <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mo>&#xA0;</mo><mfrac><mrow><mn>1400</mn><mo>&#xA0;</mo><mo>&#xD7;</mo><mo>&#xA0;</mo><mi>R</mi><mo>&#xD7;</mo><mi>R</mi></mrow><mn>100</mn></mfrac></mrow></mfenced></math> = 126 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x21D2;</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>&#x2234;</mo></math> R = 3
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