Question

The simple interest at x% per annum for x years will be ₹ x on a sum of ______

• A. $\frac{100}{x}$
• B. x
• C. $100\times x$
• D. None of the above

Answer 1

The correct option is A $\frac{100}{x}$

Let Principle be P,
Rate of interest= $x$ p.c.p.a,
Time= $x$ years
Interest = $x$ rupees
Interest $=\frac{P\times T\times R}{100}$
$x=\frac{P\times x\times x}{100}$
$P=\frac{100x}{x^2}$
$P=\frac{100}{x}$