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    Question

    Gita purchased 4 mobiles, 16 watches, and 8 tablets for Rs. 320, Rs. 960, and Rs. 480, respectively, from a seller. By selling each mobile and each watch, the seller made a profit of ‘i%’ and ‘j%’, respectively, such that j = 6i. Find the profit earned by the seller on selling all the tablets given the condition that the cost price of a watch, a mobile, and a tablet 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 mobile, each watch, and each tablet be Rs. ‘v’ Selling price of each mobile = (320/4) = Rs. 80 Selling price of each watch = (960/16) = Rs. 60 According to the question, (80–v)/v×100=i…… (I) Also, (60–v)/v×100=j…… (II) Dividing equation (I) by (II), we get (80–v)/(60–v)=i/j Or, (80–v)/(60–v)=i/6i Or, 480v–6v=60–v Or, 5v=60 Or, v=10 Therefore, the cost price of all the tablets = Rs. 8v = Rs. 80 Required profit = 480 – 80 = Rs. 400

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