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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        A man saves ` 135 in the first year, ` 150 in the second year and in this way he increases his savings by ` 15 every, year. In what time will his total saving be ` 5550?

    A)  20 yr                                    

    B)  25 yr

    C)  30 yr                                    

    D)  35 yr

    Correct Answer: A

    Solution :

                    Let the required time be n years. \[\therefore \]\[5550=135+150+...+n\] terms                 \[=\frac{n}{2}[2\times 135+(n-1)15]\] \[\Rightarrow \]               \[2\times 5550=270n+n(n-1)15\] \[\Rightarrow \]               \[740=18n+{{n}^{2}}-n\] \[\Rightarrow \]               \[{{n}^{2}}+17n-740=0\] \[\Rightarrow \]               \[(n-20)(n+37)=0\] \[\Rightarrow \]               \[n=20\,yr\] (\[\because \]\[n\] cannot be negative)


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