a) 8 months

b) 9 months

c) 1 ¼ years

d) 1 ½ years

correct answer is: b) 9 months

**Explanation**

Here,

Principal = ₹8000

Amount = ₹8360

We know, S.I. =\left(amount\ -\ principle\right)

\therefore S.I. =\;₹\left(8360\;-\;8000\right)

\rightarrow S.I. = ₹360

Rate = 6 %

So, S.I. =\frac{p\times r\times t}{100}

\therefore360=\frac{8000\times6\times t}{100} _{[put all value]}

\rightarrow360=\frac{48000t}{100}

\rightarrow48000t=36000 _{[cross multiply]}

\rightarrow t =\frac{3600}{4800}

\therefore t =\frac{3}{4} years or 9 months**Ans:** 9 months.

**This precise question can also be expressed as:****1. How long does it take for ₹8000 to grow to ₹8360 at a 6% per annum simple interest rate?****2. Calculate the time required for a principal amount of ₹8000 to reach ₹8360 with a 6% per annum simple interest rate.****3. In what time will an investment of ₹8000 yield ₹8360 at a simple interest rate of 6% per annum?****4. Find the duration needed for ₹8000 to accumulate to ₹8360 with a simple interest rate of 6% per annum.****5. Determine the time it takes for ₹8000 to become ₹8360 at a 6% per annum simple interest rate.**