Question

A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a pair of 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 original order was:​

Answer 1

Black : Brown

pairs 4 : x

price 2 : 1

8 : x

Original Bill = 8 + x

Black : Brown

pairs x : 4

price 2 : 1

2x : 4

new bill = 2x + 4

According to question,

∴ 3(8 + x) = 2(2x + 4)

=> 24 + 3x = 4x + 8

x = 16

∴ Brown pairs = 16

Black pairs = 4

ratio = 1 : 4

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