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      Question

      The ratio of pens to pencils in a shop is 8:5. If 24 pens

      are sold and 21 pencils are added, the number of pens and pencils becomes equal. Find the original number of pencils in the shop.
      A 48 Correct Answer Incorrect Answer
      B 65 Correct Answer Incorrect Answer
      C 75 Correct Answer Incorrect Answer
      D 82 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of pens and pencils be '8n' and '5n', respectively.

      So, 8n - 24 = 5n + 21

      Or, 'n' = 15

      Therefore, number of pencils = 15 × 5 = 75

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