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A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of black and brown pairs by mistake which increased the bill by 100%. What was the number of pairs of brown socks in the original order?

A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair. While preparing the bill, the bill clerk interchanged the number of black and brown pairs by mistake which increased the bill by 100%. What was the number of pairs of brown socks in the original order? Correct Answer 25

Calculation 

Let the Price of Brown socks = z

And the number of Brown socks = n

According to ques, the price of black pair was thrice that of a brown pair

Price of Black pair = 3z

Now, wrong bill is 100% more means it is twice than the correct bill.

⇒ n × 3z + 5 × z = 2 ( n × z + 5 × 3z)

⇒ 3n + 5 = 2n + 30

⇒ n = 25

∴ The number of pairs of brown socks in the original order is 25.

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