Question

divide rs 15600 into two parts such that interest on one at 5% for five years maybe equal to that on the other at 4 1/2% or six years

Answer 1

Solution:-
Let the one part of Rs. 15600 is Rs. 'x'
Then the other part will be Rs. (15600 - x)
Interest on Rs. 'x' at 5 % for 5 years = Interest on the Rs. (15600 - x) at 4.5 % for 6 years.
So, according to the question.
(x*5*5)/100 = {(15600 - x)*4.5*6}/100
25x = (15600*27) - 27x
25x = 421200 - 27x
25x + 27x = 421200
52x = 421200
x = 421200/52 
x = 8100
So, the one part of Rs. 15600 is Rs. 8100 and the other part is
15600 - 8100 = Rs. 7500
Answer.