Question
In a store, there is an inventory of 4,800 caps. Black
caps constitute 41(2/3) % of this total, with the rest being blue caps. The caps that have been sold versus those that remain unsold are in a 9:7 ratio. Additionally, the ratio of sold black caps to sold blue caps is 5:4. Calculate the ratio of the unsold black caps to the unsold blue caps.Solution
Total number pf black caps = 4800 X (5/12) = 2000 Total number of blue caps = (4800 - 2000) = 2800 Total number of sold caps = 4800 X (9/16) = 2700 Total number of unsold caps = 4800 - 2700 = 2100 So, number of black caps sold = 2700 X (5/9) = 1500 Number of blue caps sold = (2700 - 1500) = 1200 Total number of unsold black caps = (2000 - 1500) = 500 Total number of unsold blue caps = (2800 - 1200) = 1600 Therefore, required ratio = (500:1600) = 5:16
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