Mixture and alligation(Resultant quantity of water in the final mixture 120 litre orange juice was mixed with 20 litre water. 7 litre of this mixture was taken out and 'X' litre of water was added and therefore the resultant ratio between orange juice and water in the mixture was 19:4 respectively. If 23 l mixture was again taken out, what was the resultant quantity of water in the final mixture? Given ans: 24 l ....My answer 20 l. Where may have I gone wrong? My Soln: Orange juice=120l(given) Water =20l (Given) Ratio=6:1 Quantity of mixture taken out=7l(Given) Amount of orange jouice taken out=(6/7)*7=6l Amount of water taken out=(1/7)*7=1l Resultant Orange juice=120-6=114l Resultant Water=20-1+X=(19+X)l 114/(19+X)=19/4 X=5l Resultant Orange juice=114l Resultant Water=19+5=24l Ratio=19:4 Quantity of mixture taken out again = 23l(Given) Water taken out=(4/(19+4))*23=4l Remaining water=24-4=20l.

Your solution is correct.

When first time mixture taken out then quantity of water left 19 l.

After that on adding some amount of water. On solving we get that amount is 5 l.

Amount of water is now 24 l.

After that on again taking out 23 l of mixture 4 l water is taken out.

Final amount of water 20 l. That is the answer if asked about final quantity of water.

As you said answer is 24 l. Maybe answer given in book is wrong. Or they are asking about amount of water after adding 5 l ( that you found) water in solution.