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Railways Sample Paper RRB (Group D) Sample Test Paper-2

  • question_answer
    An amount was lent for two years at the rate of 20% per annum compounding annually. Had the compounding been done half yearly, the interest would have increased by 241.What was the amount (in Rs.) lent?

    A)  10000             

    B)  12000

    C)  20000 

    D)  24000

    Correct Answer: A

    Solution :

    [a] Let sum Rs. =x C.I. when compounded half yearly \[=\left[ x\,\,{{\left( 1+\frac{20}{200} \right)}^{4}}-\,x \right]=\frac{4641x}{10000}\] C.I. when compound annually \[=\left[ x\,\,{{\left( 1+\frac{20}{200} \right)}^{2}}-\,x \right]=\frac{11x}{25}\] Now, \[\frac{4641x}{10000}-\,\frac{11x}{25}=241\] \[\therefore \,\,\,x=10000\] \[\therefore \,\,sum=Rs.\,\,10000\]


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