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      Question

      A shopkeeper buys a total of 27 items, consisting of tables

      and chairs. The cost price ratio of one table to one chair is 20:9. Each table is sold at a 25% profit, while each chair is sold at a 25% loss. If the overall profit percentage on the entire transaction is 7%, how many chairs did the shopkeeper sell?
      A 9 Correct Answer Incorrect Answer
      B 12 Correct Answer Incorrect Answer
      C 10 Correct Answer Incorrect Answer
      D 18 Correct Answer Incorrect Answer
      E 15 Correct Answer Incorrect Answer

      Solution

      Let number of tables and chairs sold is 'x' and '27 - x' respectively.

      Let CP of 1 table and 1 chair is 20a and 9a respectively.

      CP of 'x' tables = x * 20a = 20ax

      CP of '27 - x' chairs = (27 - x) * 9a = (243 - 9x)a

      SP of 'x' tables = 125% of 20ax = 25ax

      SP of '27 - x' chairs = 75% of (243 - 9x)a = (182.25 - 6.75x)a

      According to the question:

      25ax + (182.25 - 6.75x)a = 107% of [20ax + (243 - 9x)a]

      25x + 182.25 - 6.75x = 21.4x + 260.01 - 9.63x

      6.48x = 77.76

      x = 12

      Total chairs sold = 27 - x = 15

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