Question
A sum becomes its double in 10 years. Find the annual rate of simple interest.
Answer: Option C
Let Sum be Rs. x and Let S.I. = Rs. x
$$\eqalign{
& {\text{Time}} = 10\,{\text{years}} \cr
& \therefore {\text{Rate}} = \frac{{{\text{S}}{\text{.I}}{\text{.}} \times {\text{100}}}}{{{\text{Principal}} \times {\text{Time}}}} \cr
& = \frac{{x \times 100}}{{x \times 10}} \cr
& = 10\% \,{\text{per}}\,{\text{annum}}{\text{.}} \cr} $$
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Let Sum be Rs. x and Let S.I. = Rs. x
$$\eqalign{
& {\text{Time}} = 10\,{\text{years}} \cr
& \therefore {\text{Rate}} = \frac{{{\text{S}}{\text{.I}}{\text{.}} \times {\text{100}}}}{{{\text{Principal}} \times {\text{Time}}}} \cr
& = \frac{{x \times 100}}{{x \times 10}} \cr
& = 10\% \,{\text{per}}\,{\text{annum}}{\text{.}} \cr} $$
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