Here the principal is P=Rs.3,000, and the rate of interest R=16% p.a. However, we are not given time in years; we have only the period. 4th Februaru 2010 to 16th June 2010. We have to convert this to years.
Observe that
February 5th to 28 th=24 days(2010 is not a leap year)
March=31 days
April=30 days
May=31 days
June=16 days
Adding, we get the total time is equal to 132 days. Converting this to years, T=132365years. Now we have all the required data to apply formula:
I=PTR100=(3000×132×16)365×100=173.58.
Thus the interest is approximately Rs.174.