Question
In how much time would the simple interest on a certain sum be 0.125 times the principal at 10% per annum?
Answer: Option A
$$\eqalign{
& {\text{Let sum}} = x. \cr
& {\text{Then,}} \cr
& {\text{S}}{\text{.I}}{\text{.}} = 0.125x = \frac{1}{8}x \cr
& {\text{R}} = 10\% \cr
& \therefore \text{Rate} \cr
& = \left( {\frac{{100 \times x}}{{x \times 8 \times 10}}} \right){\text{years}} \cr
& = \frac{5}{4}{\text{years}} \cr
& = {\text{1}}\frac{1}{4}{\text{years}} \cr} $$
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$$\eqalign{
& {\text{Let sum}} = x. \cr
& {\text{Then,}} \cr
& {\text{S}}{\text{.I}}{\text{.}} = 0.125x = \frac{1}{8}x \cr
& {\text{R}} = 10\% \cr
& \therefore \text{Rate} \cr
& = \left( {\frac{{100 \times x}}{{x \times 8 \times 10}}} \right){\text{years}} \cr
& = \frac{5}{4}{\text{years}} \cr
& = {\text{1}}\frac{1}{4}{\text{years}} \cr} $$
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