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

  • question_answer
    If a, b, c are three sums of money such that b is the simple interest on a, c is the simple interest on b for the same time and at the same rate of interest, then we have

    A) \[{{\text{a}}^{\text{2}}}\text{ }=\text{ bc}\]                      

    B) \[~{{\text{b}}^{\text{2}}}=\text{ ac}\]  

    C) \[{{\text{c}}^{\text{2}}}=\text{ab}\]           

    D)         abc = 1

    Correct Answer: B

    Solution :

                    \[b=\frac{a\times R\times T}{100}\] or            \[RT=\frac{100b}{a}\]                     ?..(i) and        \[x=\frac{b\times R\times T}{100}\] or            \[RT=\frac{100c}{b}\]                     ?.(ii) Equating (i) and (ii), we have                 \[\frac{100b}{a}=\frac{100c}{b}\]or         \[{{b}^{2}}=ac\]


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