a) 2 years 5 months

b) 2 years 4 months

c) 2 years 3 months

d) 2 years 2 months

correct answer is: c) 2 years 3 months

Explanation

Here,
Principal = Rs 10000
Rate of interest = 8 %
Simple interest = Rs 1800
Let, Time = ‘t’
We know,
S.I. =\frac{p\times t\times r}{100}
\therefore\ 1800=\frac{10000\times t\times8}{100}
\rightarrow10000\times t\times8=1800\times100 _{[cross multiply]}
\rightarrow t=\frac{1800\times100}{10000\times8}
\rightarrow t\ =\ 2.25 years
\therefore It will take 2.25 years or 2 years 3 months for the simple interest on Rs 10000 at an 8 % rate of interest to become Rs 1800 .
Ans: In 2 years and 3 months, the simple interest on Rs 10000 at an 8% rate of interest will become Rs 1800.

Another form of this specific question is:
1. Calculate the time required for the simple interest on Rs 10000 at an 8% rate of interest to reach Rs 1800.
2. Find out how many years it takes for the simple interest on Rs 10000 at 8% interest to become Rs 1800.
3. Determine the duration needed for the simple interest on Rs 10000 at an 8% rate to accumulate to Rs 1800.
4. In how many years will the simple interest on Rs 10000 at 8% interest amount to Rs 1800?
5. Calculate the time it takes for the simple interest on Rs 10000 at a rate of 8% to reach Rs 1800.