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      Question

      Ramesh purchased 7 chairs, 14 tables, and 21 lamps for

      Rs. 210, Rs. 700, and Rs. 630, respectively, from a seller. By selling each chair and each table, the seller made a profit of ‘g%’ and ‘h%’, respectively, such that h = 5g. Find the profit earned by the seller on selling all the lamps given the condition that the cost price of a table, a chair, and a lamp is the same.
      A Rs.367.5 Correct Answer Incorrect Answer
      B Rs.327.5 Correct Answer Incorrect Answer
      C Rs.373.5 Correct Answer Incorrect Answer
      D Rs.307.5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to the question Let the cost price of each chair, each table, and each lamp be Rs. ‘w’ Selling price of each chair = (210/7) = Rs. 30 Selling price of each table = (700/14) = Rs. 50 According to the question, (30–w)/w×100=g…… (I) Also, (50–w)/w×100=h…… (II) Dividing equation (I) by (II), we get (30–w)/(50–w)=g/h Or, (30–w)/(50–w)=g/5g Or, 150w–5w=50–w Or, 4w=50 Or, w=12.5 Therefore, the cost price of all the lamps = Rs. 21w = Rs. 262.5 Required profit = 630 – 262.5 = Rs. 367.5

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