SSC Sample Paper SSC CGL - Sample Paper-30

  • question_answer
    An amount of Rs. x at compound interest at 20% per annum for 3 yr becomes y. What is y : x ?

    A) 3 : 1                             

    B) 36 : 25

    C) 216 : 125          

    D) 125 : 216

    Correct Answer: C

    Solution :

    Let        \[P=Rs.\,x\] \[R=20%\] \[T=3\,yr\] \[A=Rs.\,y\] \[\because \]       \[A=P{{\left( 1+\frac{R}{100} \right)}^{T}}\] \[\therefore \]      \[y=x{{\left( 1+\frac{20}{100} \right)}^{3}}\] \[\Rightarrow \]   \[y=x{{\left( \frac{6}{5} \right)}^{3}}\] \[\Rightarrow \]   \[\frac{y}{x}=\frac{216}{125}\] \[\Rightarrow \]   \[y:x=216:125\]


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