8th Class Mathematics Comparing Quantities Question Bank Comparing Queantities

  • question_answer Sumitra Aunt lent some money to her friends for 6 years, for which she received Rs. 2000 as interest. If her friends paid back a total of Rs, 12000/-, then what was the rate of interest?

    A)  \[2\frac{1}{3}%\]                     

    B)  \[4\frac{1}{3}%\]         

    C)  \[6\frac{1}{3}%\]                     

    D)  \[3\frac{1}{3}%\]

    Correct Answer: D

    Solution :

    (d): \[A=P+\frac{prt}{100}=12000\Rightarrow \frac{Prt}{100}=2000,where\,P=10000\] \[\therefore 12000=10000\left( 1+\frac{6r}{100} \right)\Rightarrow \frac{6}{5}=1+\frac{6r}{100}\] \[\Rightarrow \frac{1}{5}=\frac{6r}{100}\Rightarrow r=\frac{100}{30%}=3\frac{1}{3}%\]

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