compound interest

Question

Rs . 5887 is divided between ram and shyam such that shyams share at the end of 9 years is equal to ram's share at the end of 11 years compounded annualy at the rate of 5%. The share of shyam is _________________

Answer 1

Let Ram's share be 'x'

$\therefore$ Sham's share = 5887 - x

By the given condition,

x$\left ( 1 + \frac{5}{100} \right )^{11}$ = (5887 - x)$\left ( 1 + \frac{5}{100} \right )^{9}$

$\Rightarrow$ (1+ (1.05)²)x = 5887

$\Rightarrow$ x = 2800

$\therefore$ Sham's share = 5887 - 2800 = 3087