8th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    A man bought goods worth Rs.6000 and sold half of them at a gain of 10%. At what gain per cent must he sell the remainder to get a gain of 25% on the whole?

    A) 40%       

    B) 25%

    C) 30%                                  

    D) 20%

    Correct Answer: A

    Solution :

    Total \[CP=Rs.\,6000\] Profit = 25% Overall \[\left\{ \frac{x}{(100-x)}\times 100 \right\}%\] SP of half of the goods \[=\left\{ \left( \frac{r}{r+100} \right)\times 100 \right\}%\] SP of remaining half goods \[=\left\{ \left( \frac{r}{r-100} \right)\times 100 \right\}%\] Profit on remaining half goods costing Rs.3000 \[A=P{{\left( 1+\frac{R}{100} \right)}^{n}}\] \[220=200{{\left( 1+\frac{R}{100} \right)}^{n}}\]                             


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