A sum of rupees 3903 is divided between P and Q such that the share of P at the end of 8 years is qual to the share of Q after 10 years. Find the share of P if rate of interest is 4% compounded annually.

Options

A. 2012
B. 2029
C. 2028
D. 2081

Answer

C

Explanation

Let share of P = x
share of Q = 3903 -x
according to question
` x ( 1 + 4/100)^(8) = ( 3103 -x) (1 + 4/100)^(10)`
` Rightarrow x/(3903 -x) = ( 104/100)^(2)`
` Rightarrow x / (3903 -x) = ( 26/25)^(2)`
` Rightarrow x= 2028 ₹ `