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SSC Sample Paper Mock Test-4 SSC CGL Tear-II Paper-1

  • question_answer
    The difference between the simple and compound interest on a certain sum of money at 5% rate of interest per annum for 2 yr is Rs. 15. Then, the sum is

    A) (a) Rs. 6500

    B)  Rs.5500

    C) (b) Rs. 6000

    D)  Rs.7000 

    Correct Answer: C

    Solution :

    Let the sum be Rs. x. Then, \[CI=x{{\left( 1+\frac{5}{100} \right)}^{2}}-x\] \[=\frac{441x}{400}-x=\frac{441x-400x}{400}=\frac{41}{400}x\] \[SI=\frac{x\times 5\times 2}{100}=\frac{x}{10}\] \[\therefore \]\[(CI)-(SI)=\frac{41x}{400}-\frac{x}{10}=\frac{41x-40x}{400}=\frac{x}{400}\] \[\therefore \]      \[\frac{x}{400}=15\] \[\Rightarrow \]   \[x=15\times 400=6000\] Hence, the sum is Rs.6000


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