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Railways Sample Paper RRB (Assistant Loco Pilot & Technician) Sample Test Paper-14

  • question_answer
    Vinita invested a certain amount at the rate of 8 p.c.p.a. for 5 years and obtained a simple interest of ` 3,800. Had she invested the same amount at the same rate of interest for 2 years, how much amount would she have obtained as compound interest at the end of 2 years?

    A)  ` \[1,580,80\]             

    B)  ` \[1,520\]

    C)  ` \[1,550.50\] 

    D)       ` \[1,550\]

    Correct Answer: A

    Solution :

      \[principal=\frac{SI\,\,\,\,\,\,\,100}{Time\,\,\,\,\,Rate}\]       \[=\frac{3800\,\,\,\,\,100}{8\,\,\,\,\,\,\,\,5}=\] Rs \[9500\]      \[A=P{{\left( 1+\frac{R}{100} \right)}^{T}}\]      \[=9500{{\left( 1+\frac{8}{100} \right)}^{2}}\]      \[=9500\,\,\,\,\frac{27}{5}\,\,\,\,\frac{27}{5}=\] Rs.  11080.8     \[\therefore \]  C.I. =Rs. \[(11080.8-9500)\]                =Rs. \[15080.8\]


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