What should be the least number of years in which simple interest on Rs.2600 at 20/3% will be exact number of rupees?

Question

If difference between simple interest and the compound interest on a certain amount of money for 3 years at 10% per annum is Rs. 46.50. Then what is the value of sum?

Answer 1

I=Interest
P=Principal amount=2600
r=rate of interest=20/3%
t=time in years

I=Prt

I=2600*[(20/3*100)]*1=173.33.............(for't'=1year)............(I=decimal figure)
I=2600*[(20/3*100)]*2=346.67.............(for 't'=2 year.s........(I=decimal figure)
I=2600*[(20/3*100)]*3=520...................(for 't'=3years........(I=exact number)

so least no of years=3
ans is 3 years