7th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    If Rs.85 amounts to Rs.95 in 3 years, what will Rs.102 amount to in 5 years at the same rate?

    A)  Rs.120

    B)         Rs.104

    C)  Rs.116 

    D)         Rs.122  

    Correct Answer: D

    Solution :

     We have \[A=P+I=P+\frac{PTR}{100}\] \[A-P=\frac{PTR}{100}\] \[So,\,\frac{{{A}_{1}}-{{P}_{1}}}{{{A}_{2}}-{{P}_{2}}}=\frac{{{P}_{1}}{{T}_{1}}{{R}_{1}}}{{{P}_{2}}{{T}_{2}}{{R}_{2}}}\] \[\Rightarrow \] \[\frac{95-85}{{{A}_{2}}-102}=\frac{85\times 3\times R}{102\times 5\times R}\] \[\Rightarrow \] \[{{A}_{2}}=102=20\Rightarrow {{A}_{2}}=Rs.\,122\]


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