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In a mixture there is 15% of salt. When 30 liter of water is evaporated, salt becomes 20% of mixture. Find the initial quantity of mixture.
Answer & Solution
Correct Answer:
Option
A
Let Mixture was X initially
Initial Salt = 15% of X = 0.15X
Initial Water = 85% of X = 0.85X
30 liters of water evaporated
So, Final water = (0.85X - 30)
Now, salt rises to 20% of the mixture, it means as water dried up salt rises
Now, Total Mixture = (0.85X -30 + 0.15X)
Final salt = 20% of(0.85X - 30 + 0.15X)
As, Initial Amount of salt = Final amount of salt, we have
0.15X = 20% of(0.85X - 30 + 0.15X)
0.15X = 0.20X - 6
Or, 0.5X = 6
Thus, X = 120
Initial amount of the mixture was 120 liters
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Login=> x= 120 lit.
20%=1/5
Water salt
20 3
5 1
But salt concentration will be same
20 3
5 1*3
Therefore
20 3
15 3
5l of water vapourises.But A/Q 30lit
Therefore 5l=30
1l=6
20l=20*6=120 (As 20 lit was the initial quantity)