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    Question

    Ravi purchased 6 notebooks, 18 markers, and 12

    highlighters for Rs. 240, Rs. 1080, and Rs. 360, respectively, from a seller. By selling each notebook and each marker, the seller made a profit of ‘c%’ and ‘d%’, respectively, such that d = 2c. Find the profit earned by the seller on selling all the highlighters given the condition that the cost price of a marker, a notebook, and a highlighter is the same.
    A Rs.180 Correct Answer Incorrect Answer
    B Rs.100 Correct Answer Incorrect Answer
    C Rs.220 Correct Answer Incorrect Answer
    D Rs.120 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question Let the cost price of each notebook, each marker, and each highlighter be Rs. ‘y’ Selling price of each notebook = (240/6) = Rs. 40 Selling price of each marker = (1080/18) = Rs. 60 According to the question, (40–y)/y×100=c…… (I) Also, (60–y)/y×100=d…… (II) Dividing equation (I) by (II), we get (40–y)/(60–y)=c/d Or, (40–y)/(60–y)=c/2c Or, 80y–2y=60–y Or, y=20 Therefore, the cost price of all the highlighters = Rs. 12y = Rs. 240 Required profit = 360 – 240 = Rs.120

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