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

• Ratio=1:4
  
  Let the price of a pair of brown socks=x, then price of a pair of black socks=2x
  If in original order there are 'a' pairs of brown socks, then total price= 4*2x + a*x
  With interchanging number of black and brown pairs, new price=a*2x + 4*x
  Given new price is 50% more than the original, So a*2x+4*x= (150/100)(4*2x+a*x)
  => 2ax+4x= (3/2)(8x+ax)
  => 4ax - 3ax= 16x
  => a=16 = original number of pairs of brown socks
  So ratio of number of black and brown pairs of socks in original order= 4:16 =1:4
• 7 years agoHelpfull: Yes(2) No(1)