A sum of ₹ 1682 is to be divided between A and B who are

A sum of ₹ 1682 is to be divided between A and B who are respectively 20 years and 22 years old. They invest their shares at 5% per annum, compounded annually. At the age of 25 years both receive equal amounts. Find the share of each.

Given in question , Rate = 5% per annum
For A, time = 5 years
For B, time = 3 years
r = 5% per annum
According to question ,

A		1 +	5		⁵	= B		1 +	5		³
			100						100

B	=		1 +	5		₂
A				100

B	=	441
A	=	400

Sum of ratio = 400 + 441 = 841
As given, sum = A + B = ₹ 1682

So, A =	400	×1682 = ₹ 800
	841

and B =	441	×1682 = ₹ 882
	841