A man invested Rs. 75,000 at the rate of 7 1/2% per annum Simple Interest for 6 years, Find the amount he will receive after 6 years.

Principal (P) = Rs. 75,000

Rate of interest (R) = $$7\frac{1}{2} \%$$ = 7.5% per annum

Time (T) = 6 years

In simple interest (SI), the interest earned is calculated as:

SI = $$\frac{P×R×T}{100}$$​​

The total amount A received after T years is the sum of the principal and the simple interest:

A = P + SI

The simple interest (SI):

SI = $$\frac{75000×7.5×6}{100} ​$$​​

SI = $$\frac{75000×45}{100} = \frac{3375000}{100}$$ = 33750

Now, the total amount A:

A = P + SI = 75000 + 33750 = 108750

Thus, The amount he will receive after 6 years is Rs. 1,08,750.