8th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    At compound interest, if a certain sum of money doubles in n years then the amount will be four fold in

    A)  \[\frac{{{a}_{1}}}{{{b}_{1}}}=\frac{{{a}_{2}}}{{{b}_{2}}}\]              

    B)  \[\Rightarrow \]

    C) 2n years          

    D) 4n years

    Correct Answer: C

    Solution :

    Let principal = Rs.x and rate = R According to question, \[{{R}_{2}}%\] \[{{n}_{2}}\] \[{{R}_{k}}%\] Let it become 4 folds in N years So,  \[x{{\left( 1+\frac{R}{100} \right)}^{N}}=4x\] \[V={{V}_{0}}{{\left( 1-\frac{{{R}_{1}}}{100} \right)}^{{{n}_{1}}}}.{{\left( 1-\frac{{{R}_{2}}}{100} \right)}^{{{n}_{2}}}}....{{\left( 1-\frac{{{R}_{k}}}{100} \right)}^{{{n}_{k}}}}\] N = 2n years              


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