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7th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    Of a certain sum, \[\frac{1}{3}rd\]is invested at 3%, \[\frac{1}{6}th\] at 6% and the rest at 8%. If the S.I. for 2 years from all these investments amounts to Rs.600, what was the original sum?

    A)  Rs.2000               

    B)         Rs.3000

    C)  Rs.4000               

    D)         Rs.5000  

    Correct Answer: D

    Solution :

       Remaining part \[=1-\left( \frac{1}{3}+\frac{1}{6} \right)=\frac{1}{2}\] Average rate % per annum (R) \[=\left( \frac{1}{3}\times 3 \right)+\left( \frac{1}{6}\times 6 \right)+\left( \frac{1}{2}\times 8 \right)=6%\] S.I \[=Rs.\,\,600\] \[T=2\]years, P=? \[\Rightarrow \] \[P=\frac{100\times I}{TR}=\frac{100\times 600}{2\times 6}\] \[=Rs.\,\,5000\]


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