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SSC Sample Paper SSC CGL - Sample Paper-22

  • question_answer
    The simple interest on a certain sum of money for 3 yr at 8% per annum is half the compound interest on Rs. 4000 for 2 yr at 10% per annum. What is the sum placed on simple interest?

    A) Rs. 1550                       

    B) Rs. 1650

    C) Rs.1750

    D) Rs. 2000

    Correct Answer: C

    Solution :

    Let the principal amount be Rs. P. By given condition,             \[SI=\frac{1}{2}CI\] \[\Rightarrow \] \[\frac{P\times 8\times 3}{100}=\frac{1}{2}\left[ 4000{{\left( 1+\frac{10}{100} \right)}^{2}}-4000 \right]\] \[\Rightarrow \] \[\frac{24}{100}=\frac{1}{2}\left[ 4000\times \frac{121}{100}-4000 \right]\]             \[=\frac{1}{2}[4840-4000]\] \[\Rightarrow \]   \[\frac{24P}{100}=420\] \[\Rightarrow \]   \[P=\frac{42\times 100}{24}\] \[\Rightarrow \]   \[P=Rs.\,1750\] 


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