Question
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?
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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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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