Question
Shops 'A' and 'B' together purchased a total of 9,200
notebooks in the ratio of 2:7 for shop 'A' and 4:9 for shop 'B'. Shop 'A' managed to sell 25% of its stock, while shop 'B' sold 2,600 notebooks. Calculate the ratio of the remaining unsold notebooks in shop 'A' to those in shop 'B'.Solution
Given ratio = (2/7):(4/9) = (18/63):(28/63) = 18:28 = 9:14 So, number of notebooks bought by shop 'A' = 9200 X (9/23) = 3600 Number of notebooks bought by shop 'B' = 9200 - 3600 = 5600 Number of notebooks which remained unsold with shop 'A' = 3600 - 3600 X 0.25 = 2700 Number of notebooks which remained unsold with shop 'B' = 5600 - 2600 = 3000 And so, required ratio = 2700:3000 = 9:10 Hence, option c.
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