10th Class Mathematics Related to Competitive Exam Question Bank Commercial Mathematics

  • question_answer
    A started business with Rs. 4,500 and B joined afterwards with Rs. 3,000. If the profits at the end of one years were divided in the ratio 2 : 1 respectively, then B would have joined A for business after

    A)  1 month        

    B)         2 months

    C)  3 months         

    D)         4 months

    Correct Answer: C

    Solution :

     A's 1 month's investment \[=Rs.(4500\times 12)\] \[=Rs.54,000\] Let B joins after x months. \[\therefore \] B's 1 month's investment \[=Rs.\,3,000\,\,(12-x)\] By hypothesis                 \[54,000:3,000(12-x)=2:1\] or            \[\frac{18}{12-x}=2\]      or            \[18=24-2x\] or            \[2x=6\] \[\therefore \] \[x=3\] months


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