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      Question

      A total of 9200 pencils were bought by shops 'A' and 'B' in

      the ratio (2/7):(4/9) respectively. If shop 'A' sold 25% of the pencils bought while shop 'B' sold 2600 pencils, then find the ratio of number of pencils which remained unsold with shops 'A' and 'B', respectively.
      A 9:10 Correct Answer Incorrect Answer
      B 11:8 Correct Answer Incorrect Answer
      C 13:4 Correct Answer Incorrect Answer
      D 14:11 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Given ratio = (2/7):(4/9) = (18/63):(28/63) = 18:28 = 9:14

      Total parts = 9 + 14 = 23

      So, number of notebooks bought by shop 'A' = 9200 ├Ч (9/23) = 3600

      Number of notebooks bought by shop 'B' = 9200 - 3600 = 5600

      Number of notebooks unsold with shop 'A' = 3600 - 3600 ├Ч 0.25 = 2700

      Number of notebooks unsold with shop 'B' = 5600 - 2600 = 3000

      Required ratio = 2700:3000 = 9:10

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