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Sumit Kumar

· started a discussion

· 1 Months ago

short trick (Question: 113946.0 )

some short trick please

Question:

A solution of salt and water contains 15% salt. After evaporating 8 liter of water from it, remaining has 20% salt. The weight of the original solution is: 

Options:
A) 36 kg
B) 24 kg
C) 32 kg
D) 40 kg
Solution:
Ans: (c)



Alternate sol:

Let Mixture was X initially.
Initial Salt = 15% of X = 0.15X.
Initial Water = 85% of X = 0.85X.
8 kg of water evaporated.
So, Final water = (0.85X - 8).
Now, salt rises to 20% of the mixture, it means as water dried up salt rises. 

Now, Total Mixture = (0.85X -8 + 0.15X).
Final salt = 20% of(0.85X - 8 + 0.15X)

As, , we have, 

0.15X = 20% of(0.85X - 8 + 0.15X)

Thus, X = 32 kg

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Initial Amount of salt = Final amount of salt,

0.15X = 20% of(0.85X - 8 + 0.15X)

Thus, X = 32 kg

Hope you have a great learning with us!!

All the Best,
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