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

The Correct Option is C

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)