2 liters out of a 20 liters cask full of wine solutions is taken out and replaced with water. If the ratio of wine in the solutions to the capacity of the cask is 81:100 , the volume of water in the initial solution is ( in ltrs ) (A) 1.8 (B) 2 (C) 3.8 (D) 16.2 (E) 18.2
Ok, let’s see if I get this straight. We have 20 litres in a solution, 2 is water, 18 is wine. The ratio of wine to the entire volume is 81:100.
Now, the ratio of water to wine is 2:18, which is equal to 1:9 and 9:81. Therefore, the ratio between the water and the whole solution volume is 9:100. But we only have 20L, so if we divide both sides by 5 we get 1.8L : 20L. Hence I’m thinking the solution should be A, 1.8.
I don’t know, this seems a bit weird, I may be wrong.
seems to be ambiguous question “the volume of water in the initial solution is ( in ltrs )”
The volume in the initial solution before taking out two liters of solution form it B) 2 Liters The volume in the initial solution After taking out two liters of solution form it A) 1.8 Liters
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