A solution of salt and water contains 30% salt, 225 liter water is evaporated and now percentage of salt in solution becomes 60%. find the initial quantity of solution?
A. 750 litre
B. 300 litre
C. 500 litre
D. 450 litre
Let Mixture was X initially.
Solution(By Examveda Team)
Initial Salt = 30% of X = 0.30X.
Initial Water = 70% of X = 0.70X.
250 liter of water evaporated.
So, Final water = (0.70X - 225).
Now, salt rises to 60% of the mixture, it means as water dried up salt rises.
Now, Total Mixture = (0.70X -225 + 0.30X).
Final salt = 60% of(0.70X - 225 + 0.30X)
As, Initial Amount of salt = Final amount of salt, we have,
0.3X = 60% of(0.70X - 225 + 0.30X)
0.3X = 0.6X - 135.
Or, 0.3X = 135.
Thus, X = 450.
Initial amount of the mixture was 450 liter.
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