There are two glasses A and B. A contains orange juice and B contains apple juice in same quantity.Some amount orange juice from glass A is transfered to glass B. The juice in glass B is mixed well. Then again the same amount of juice from B is transferred to A. Compare the quantities of apple juice in A and orange juice in B.

• Both contain same amount of quantities. For explanation refer 4th Q in the link:
  http://writer.zoho.com/public/suchandra/ques
• 14 years agoHelpfull: Yes(5) No(3)
• 1. A B
  2. x x
  3. x-a x+a
  4. x+a x-a
  5. x x
  
  same quantity as previous
• 13 years agoHelpfull: Yes(2) No(4)
• suppose
  A glass=X(orange juice)
  Y glass=X(apple juice).
  lets y ammount of orange juice is transfered from A to B.Now
  A=X-y(orange guice)
  so the ratio of og and ag in B is=X/X+y:y/X+y
  B=(X+y){X/(X+y)}ag +(X+y){y/(X+y)}og=Xy(mix g).
  after that y ammount of mix juice is transfered from B TO A. then
  A={(X-y)+y(y/X+y)}og+y(X/X+y)ag=(X^2/x+y)og+(Xy/X+y)ag.=X(X+y)/(X+y)=X
  B=[X-y*{X/(X+y)}]ag+[y-y*{y/(X+y)}]og={X-Xy/X+y}+{y-y^2/(X+y)}=X
  
  so ammount of og in A=X^2/X+y
  ammount Of ag in B=X-XY/X+y=X^2/X+y
  A og=B ag(equal)
  thank you.
• 12 years agoHelpfull: Yes(1) No(2)