correct answer is: b) 2 years and 6 months

Explanation

Here,
Principal (p) = ₹ 1250
Amount (a) = ₹ 1500
\therefore S.I. = (Amount – Principal)
Or, S.I. =₹\left(1500-1250\right) Or ₹ 250
Rate (r) = 8 % p.a.
Let, Time = ‘t’
We know,
S.I. =\frac{p\ \times\ t\ \times\ r}{100}
\rightarrow\ 250=\frac{1250\times t\times8}{100}
\rightarrow\left(1250\times t\times8\right)=\left(250\times100\right)
\rightarrow t=\frac{250\times100}{1250\times8}
\rightarrow t=2.5
\therefore The time is 2.5 years or 2 years and 6 months.
Ans: A sum of ₹1250 will become ₹1500 at a rate of 8% per annum simple interest in 2 years and 6 months.

An additional variation of this particular query can be considered:
1. Calculate the time it takes for an amount of ₹1250 to reach ₹1500 with an annual simple interest rate of 8%.
2. Determine the duration needed for an investment of ₹1250 to accumulate to ₹1500 at a simple interest rate of 8% per annum.
3. What is the period required for ₹1250 to increase to ₹1500 at a rate of 8% per annum simple interest?
4. Find out how many years it takes for ₹1250 to become ₹1500 with a simple interest rate of 8% per annum.
5. Calculate the time required for an amount of ₹1250 to grow to ₹1500 at a simple interest rate of 8% per annum.