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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 inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order?
Options:
A .  10
B .  15
C .  20
D .  25
Answer: Option D


Let the bought x pairs of brown socks and the price of each brown pair be Y. 
Then total cost = 5x3Y+xy 
Changed cost = 5xY+x*3Y 
According to the question . 
5y+3xy “(15y+xy)/15y+xy x 100% = 100% 
=> 5y+3xy-15y-xy/ 15y+xy x100% = 100% 
=> 5y+3xy = 15y+xy+15y+xy 
=> 5y+3xy = 30y+2xy 
=> xy= 25y 
=> x=25. 
Hence the original pair of brown socks = 25.



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