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.

A. 120 liters

B. 110 liters

C. 125 liters

D. 115 liters

Answer: Option A

Solution(By Examveda Team)

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