# Rs.5887 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%. Find the share of Shyam ?

Rs.5887 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%. Find the share of Shyam ?

A. 2088

B. 2000

C. 3087

D. None of these

**Answer : ** C. 3087...

## Explanation :

Shyam’s share * (1 + 0.05)^{9} = Ram’s share * (1 + 0.05)^{11}

Shyam’s share / Ram’s share = (1 + 0.05)^{11} / (1 + 0.05)^{9}

= (1 + 0.05)^{2}

= 441/400

Therefore Shyam’s share = (441/841) * 5887

= 3087 .