Question

If a, b, c are three sums of money such that b is the simple interest on a, c is the simple interest on b for the same time and at the same rate of interest, then we have

• A. $a^2=bc$
• B. $b^2=ac$
• C. $c^2=ab$
• D. $abc=1$

Answer 1

Answer: (B)

$b^2=ac$

$b=\frac{a\times R\times T}{100}$
or $RT=\frac{100b}{a}$ ...(i)
and $x=\frac{b\times R\times T}{100}$
or $RT=\frac{100c}{b}$ ...(ii)
Equating (i) and (ii), we have
$\frac{100b}{a}=\frac{100c}{b}$
or $b^2=ac$