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SSC Sample Paper SSC CGL - Sample Paper-6

  • question_answer
    A man repays a loan of Rs. 3250 by paying Rs. 20 in the first month and then increases the payment by Rs. 15 every month. How many months will it take him to clear the loan?

    A)  26                               

    B)  25

    C)  23                               

    D)  20

    Correct Answer: D

    Solution :

    Let the number of months be n. Then, \[3250=20+35+50+...\] to n terms It is an Arithmetic sequence with first term, \[a=20\]and common difference, \[d=15\] Applying \[s=\frac{n}{2}[2a+(n-1)d],\] we have             \[3250=\frac{n}{2}[2\times 20+(n-1)\times 15]\] \[\Rightarrow \]   \[3250=\frac{n}{2}[40+15n-15]\] \[\Rightarrow \]   \[6500=n\,(15n+25)\] \[\Rightarrow \]   \[15{{n}^{2}}+25n=6500\] \[\Rightarrow \]   \[1300=3{{n}^{2}}+5n\] \[\Rightarrow \]   \[3{{n}^{2}}+5n-1300=0\] \[\Rightarrow \]   \[3{{n}^{2}}+65n-60n-1300=0\] \[\Rightarrow \]   \[n(3n+65)-20(3n+65)=0\] \[\Rightarrow \]   \[(n-20)(3n+65)=0\] \[\Rightarrow \]   \[n=20,\] as n cannot be negative.


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