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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-12

  • question_answer
    Rs. 6,500 were divided equally among a certain number of persons. Had there been 15 more persons, each would have got Rs.30 less. Find the original number of persons.

    A)  50

    B)                   55

    C)  40                              

    D)  45

    Correct Answer: A

    Solution :

     Let, the no. of persons = x Total amount = Rs. 6500 Each gets \[=\frac{6500}{x}\] Now, new no. of persons \[=(x+15)\] Now, Each get \[=(x+15)\] According to the question, \[\frac{6500}{x}-\frac{6500}{x+15}=30\] \[\frac{6500x+97500-6500x}{x\left( x+15 \right)}=30\] \[{{x}^{2}}+15x-3250=0\] \[{{x}^{2}}+65x-50x-3250=0\] \[\left( x+65 \right)\,\,\left( x-50 \right)=0\] \[x=-65,\,50\] So, Original no. of persons \[=\]


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