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8th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    Simple interest on a certain amount is \[\frac{9}{16}\]of the principal. If the numbers representing the rate of interest (in percent) and time (in years) be equal, then time for which the principal is lent out, is _____.

    A)  5-years                       

    B)  6-years           

    C)  7 years           

    D)         7-years           

    Correct Answer: D

    Solution :

    Let the principal be \[Rs.P\] And the rate of interest\[=Time=n(say)\] According to question, \[\text{S}\text{.I}\text{.=}\frac{9}{16}P\Rightarrow \frac{P\times n\times n}{100}=\frac{9}{16}P\] \[\Rightarrow {{n}^{2}}=\frac{9}{16}P\times \frac{100}{P}\Rightarrow n=\frac{15}{2}\] \[\Rightarrow n=7\frac{1}{2}years\]


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