A sum is split into two equal parts. One of the parts is lent at simple interest at 4% per annum for one year. The other part is further split into three equal parts. These are lent at compound interests, interests being compounded annually. These are lent at 10% per annum for 4 years, 20% per anuum for 2 years and 40% per annum for 1 year. The difference between the total compound interest and simple interest is Rs 1184.10 Find the sum. in Rs.

A sum is split into two equal parts. One of the parts is lent at simpl

1.	A sum is split into two equal parts. One of the parts is lent at simple interest at 4% per annum for one year. The other part is further split into three equal parts. These are lent at compound interests, interests being compounded annually. These are lent at 10% per annum for 4 years, 20% per anuum for 2 years and 40% per annum for 1 year. The difference between the total compound interest and simple interest is Rs 1184.10 Find the sum. in Rs.
Answer» 3000 4000 5000 6000 Solution :i) Let the TOTAL sum be RS `2x`. ii) `SI = (x xx 4x)/100`. iii) Total CI `=x/3[(1+10/100)p^(4)-1]+x/3[(1+20/100)^(2)-1]+x/3[(1+40/100)^(1)-1]`. IV) Use, CI-SI = `1184.10`.