If the simple interest accrued by the sum for a total period of 9 years is Rs. 1120, what is the sum?

Question

The rate of interest on a sum of money is 4% per annum for the first 2 years, 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. If the simple interest accrued by the sum for a total period of 9 years is Rs. 1120, what is the sum?

Answer 1

SI = ( P*R*t ) /100 , SI=simple interest , P = sum , R=rate of interest , t= time

1120 = (P/100)*(4*2 + 6*4 + 8*3 )

1120 = (P/100)*56
===
P= Rs . 2000

Answer 2

Total interest for . Years wil be 2*4+4*6+3*8=56% of the principle amount
Here 56% of principle amount =1120
So, principle will be=1120*100/56=2000.