Question

Rs 5,887 is divided between Shyam and Ram, such that Shyam's share at the end of 9 years is equal to Ram's share at the end of 11 years, compounded annually at the rate of 5$\%$. The share of Shyam is

• A. Rs 2,088
• B. Rs 2,000
• C. Rs 3,087
• D. None of the above

Answer 1

Answer: (C)

Rs 3,087

Answer 2

Let Shyam's share be $x$
According to question
$($1+$$x$$)$$^9 = (5887 − $x$)$($1+$$\frac{5}{100}$$)11

$\frac{x}{5887 - x}$ = $($1+$$\frac{5}{100}$$)2

$\frac{x}{5887 - x}$ = 1.1025

$x$ = Rs.3087
So the correct option is (C)