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      Question

      If the number of red pens sold by shopkeeper ‘F’ is

      20% less than the average number of red pens sold by shopkeeper A and B, then find the number of red pens sold by shopkeeper F. Answer the questions based on the information given below: The table shows the sum of the number of red pens and blue pens sold, number of blue pens sold as percentage of number of red pens sold and the ratio of number of blue pens sold to the number of black pens sold respectively by 4 different shopkeepers.
      A 160 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 130 Correct Answer Incorrect Answer
      D 150 Correct Answer Incorrect Answer
      E 140 Correct Answer Incorrect Answer

      Solution

      For shopkeeper A, Let the number of red pens sold be ‘x’. Then, the number of blue pens sold = 55% of x = 0.55x Now according to question, => x + 0.55x = 310 => x = 200 Number of red pens sold = 200 Number of blue pens sold = 0.55x = 110 Number of black pens sold = 110 × (9/11) = 90 Similarly, we can find the required data for the other shopkeeper too. Average number of red pens sold by shopkeeper A and B = (200 + 150)/2 = 175 Number of red pens sold by shopkeeper F = 175 × (80/100) = 140

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