Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-16

  • question_answer
    What annual instalment will discharge a debt of Rs.4,200 due in 5 years at 10% simple interest?

    A)  Rs.500 per year            

    B)  Rs.600 per year

    C)  Rs.700 per year  

    D)       Rs.800 per year

    Correct Answer: C

    Solution :

    Shortcut method: If borrowed amount be Rs. M and it is to be paid in equal instalments, then             \[M=na+\frac{ra}{100\times Y}\times \frac{n(n-1)}{2}\] where Y = no. of instalments per annum a = annual instalment Here, \[M=4200,\,y=1,\,r=10,\,n=5,\,a=?\] \[4200=5a+\frac{10a}{100}\times \frac{5(5-1)}{2}\] \[\Rightarrow \]   \[4200=a\,\left[ 5+1 \right]\,\,\Rightarrow 6a=4200\] \[\Rightarrow \]   \[a=Rs.700\]


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