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8th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    A sum of money doubles itself in 3 years at CI, when the interest is compounded annually. In how many years will it amount to 16 times of itself?

    A) 6 years                  

    B) 8 years

    C) 12 years                

    D) 16 years

    Correct Answer: C

    Solution :

    \[\frac{a}{b}=\frac{c}{d}=\frac{e}{f}\] \[\frac{a+c+e}{b+d+f}\]                        ...(1) Suppose the money becomes 16 times itself in n years \[\frac{a}{b}=\frac{c}{d}\] \[\frac{b}{a}=\frac{d}{c}\]                        ?..(2) From (1) and (2) \[\frac{a}{b}=\frac{c}{d}\] \[\frac{a}{c}=\frac{b}{d}\] n = 12 years.


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