a) ₹57.58

b) ₹67.68

c) ₹77.78

d) ₹87.88

correct answer is: b) ₹67.68

**Explanation**

To calculate the present value we can use the following present value formula, which is:

Present Value (PV) =\large\frac{Future\ Valu\left(FV\right)}{\left(1+r\right)^t}

Here,

Future Value (FV) = ₹ 100

Rate (r) = 5 % or \large\frac{5}{100} or 0.05

Time (t) = 8 years

Put the value in the formula, we get:

PV =\large\frac{100}{\left(1+0.05\right)^8}

\rightarrow PV =\large\frac{100}{\left(1.05\right)^8}

\rightarrow PV =\large\frac{100}{1.4775}

\rightarrow PV = 67.68

\therefore Present Value is = ₹ 67.68 **Ans:** The present value of ₹100 in 8 years interest rate of 5% is ₹67.68.

**Another method to articulate this particular query is available:****1. Calculate the present value of Rs 100 after 8 years with an interest rate of 5%.****2. Determine the value of Rs 100 in present terms after 8 years with a 5% interest rate.****3. Find out the current worth of Rs 100 after 8 years at an interest rate of 5%.****4. What is the present-day equivalent of Rs 100 to be received in 8 years at a 5% interest rate?****5. Calculate the present value of Rs 100 to be received after 8 years with an annual interest rate of 5%.**