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If GAVE is coded as 5137 and BAT is coded as 924. How is GATE coded?

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A man ordered 4 pairs of black socks and some pair of brown socks. The price of a black socks is double that of a brown pair, while preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%.The ratio of the number of black and brown pairs of socks in the original order was 2^4,7,4^4,61,6^4,109,8^4,