Rs. 260200 is divided b/w A and B so that the amount that A receives in 4 years is the same as that B receives in 6 years. If the interest is compounded annually at rate of 4% per annum, then A's share is?

135200

A = P ( 1 + \(\frac{R}{100}\))^T                           

A's share amount = x ( 1 + \(\frac{4}{100}\))⁴    

B's amount = (260200 - x) (1 + \(\frac{4}{100}\))⁶        

according to question

x ( 1 + \(\frac{4}{100}\))⁴  = (260200 - x)(1 + \(\frac{4}{100}\))⁶

x = (260200 - x)(1 + \(\frac{4}{100}\))²

x = (260200 - x) (\(\frac{676}{625}\))

on solving x = 135200