A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 25%. What is the value of x?
Answers
A) 17.5 litres	B) 16.67 litres	C) 17.67 litres	D) 16.5 litres	E) 16 litres
In 100L mixture we have 36 L milk and 64 L water.   Hence M and W are in the ratio of 9:16.   x L of solution has been removed.   Hence we have 36-9/25x of milk and 64- 16/25x of water.   FOR CALCULATION SIMPLICITY multiply and divide 9/25x by 4 WE GET 36/100x   Since this procedure is repeated 2 times.   This was my equation   25=36*(36-36/100x)^2)/(36)^2   By solving it.   We get x=100/6 OR 50/3 OR 16.67   ANSWER:16.67 litres
<result>B</result>
A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 25%. What is the value of x?