Question

a, b, c are three sums of money such that b is the S.I on a and c is the simple interest on b for the same time and same rate . then b square

Answer 1

${b}^{2} = ac$

let the rate be x% and time be y years. then

$b = a \times \frac{x}{100} \times y \\ \: c = b \times \frac{x}{100} \times y \\ \frac{b}{a} = \frac{c}{b} \\ {b}^{2} = ac$