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    Question

    Hari purchased 9 bags, 12 shoes, and 15 hats for Rs. 270, Rs. 720, and Rs. 450, respectively, from a seller. By selling each bag and each shoe, the seller made a profit of ‘k%’ and ‘l%’, respectively, such that l = 7k. Find the profit earned by the seller on selling all the hats given the condition that the cost price of a shoe, a bag, and a hat is the same.

    A Rs.300 Correct Answer Incorrect Answer
    B Rs.400 Correct Answer Incorrect Answer
    C Rs.250 Correct Answer Incorrect Answer
    D Rs.500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question Let the cost price of each bag, each shoe, and each hat be Rs. ‘u’ Selling price of each bag = (270/9) = Rs. 30 Selling price of each shoe = (720/12) = Rs. 60 According to the question, (30–u)/u×100=k…… (I) Also, (60–u)/u×100=l…… (II) Dividing equation (I) by (II), we get (30–u)/(60–u)=k/l Or, (30–u)/(60–u)=k/7k Or, 210u–7u=60–u Or, 6u=60 Or, u=10 Therefore, the cost price of all the hats = Rs. 15u = Rs. 150 Required profit = 450 – 150 = Rs. 300

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