In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?

A. $$1\frac{1}{4}$$ years

B. $$1\frac{3}{4}$$ years

C. $$2\frac{1}{4}$$ years

D. $$2\frac{3}{4}$$ years

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Let sum}} = x. \cr & {\text{Then,}} \cr & {\text{S}}{\text{.I}}{\text{.}} = 0.125x = \frac{1}{8}x \cr & {\text{R}} = 10\% \cr & \therefore \text{Rate} \cr & = \left( {\frac{{100 \times x}}{{x \times 8 \times 10}}} \right){\text{years}} \cr & = \frac{5}{4}{\text{years}} \cr & = {\text{1}}\frac{1}{4}{\text{years}} \cr} $$