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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 × (9/23) = 3600

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

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

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

    Required ratio = 2700:3000 = 9:10

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