Firstly, the initial amount of money invested, or the principal, is rs 1500.
The annual interest rate is 6%. To use this in calculations, we need to express it as a decimal. Dividing 6 by 100, we get 0.06.
The time period of the investment, in this case, is 7 years and 3 months. To keep units consistent, we need to convert 3 months to a fraction of a year. There are 12 months in a year, so 3 months translates to 3/12 or 0.25 years. Thus, the total time period becomes 7.25 years.
We can now calculate the simple interest earned over this period of time using the formula for simple interest, which is:
Interest = Principal * Rate * Time
Substituting the given values, we have:
Interest = 1500 * 0.06 * 7.25
This gives us rs 652.5. This is the amount of interest earned on the initial investment.
Finally, we need to calculate the total amount the man got back. This is simply the initial investment plus the interest earned. So it's:
Total Amount = Principal + Interest
Substituting the known values, we get:
Total Amount = 1500 + 652.5
That equals rs 2152.5.
So, the man got back rs 2152.5 after 7 years and 3 months of his investment.