There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 12:10 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?  Pick one.
A) 921:630  B) 598:392  C) 118:126  D) 193:122  E) 201:132
12:10=&gt;12x+10x=22x   2:112 +10= 
<gadget id="calculator">12 +10</gadget>
<output>22</output>
22x   2:1=&gt;2y+1y=3y   3:22 +1= 
<gadget id="calculator">2 +1</gadget>
<output>3</output>
3y   3:2=&gt;3z+2z=5z   22x3 +2= 
<gadget id="calculator">3 +2</gadget>
<output>5</output>
5z   22x=3y=5z   Take LCM of 22,3,5=330   Or simply;   x=15   y=110   z=66   So,   Ratio of Milk:Water= (12x+2y+3z)/(10x+y+2z)=598/392   Ans:598:392
<result>B</result>
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 12:10 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?