10th Class Mathematics Related to Competitive Exam Question Bank Commercial Mathematics

  • question_answer
    A sum of money placed at compound interest doubles itself in 5 years. It will amount to eight times itself in

    A)  10 years         

    B)         12 years

    C)  15 years           

    D)         20 years

    Correct Answer: C

    Solution :

                    \[P{{\left( 1+\frac{R}{100} \right)}^{5}}=2P\] \[\Rightarrow \]               \[{{\left( 1+\frac{R}{100} \right)}^{2}}=2\] Let          \[P{{\left( 1+\frac{R}{100} \right)}^{n}}=8P\] then      \[{{\left( 1+\frac{R}{100} \right)}^{n}}=8={{2}^{3}}\]                 \[={{\left\{ {{\left( 1+\frac{R}{100} \right)}^{5}} \right\}}^{3}}={{\left( 1+\frac{R}{100} \right)}^{15}}\] \[\therefore \]  \[n=15\] year    


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