Question

A sum of money becomes 7/4 of itself in 6 years at a certain rate of simple interest. The rate of interest
per annum is​

Answer 1

Answer:

12.5%

Explanation:

⇒ Let P = x

⇒ Then A = $\huge\frac{7x}{4}$

⇒ I = A - P =  $\huge\frac{7x}{4}-x=\frac{3x}{4}$

⇒ Then what is R=???

⇒ We know that,

     T= 6 Years

⇒ Now, we have:

   $\huge \boxed{ \bold{ R = (\frac{I .100}{P.T} )}}$

⇒$\huge{\bold{ R = \frac{\frac{3x}{4}.100 } {x.6} }}$

$\huge= \frac{300}{24x}$

$\huge\boxed{\bold{= 12.5}}$

$\huge{ Therefore,\\ Rate\ of \ Interest = 12.5%}$