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A sample of 60 L of concentrated acid is found to be diluted to the extent of 40%. If the percentage of dilution has to bring down to 5%. Then find the correct statement(s) with the help of the above given data.

a) 140 L of concentrated acid is to be added.

b) 320 L of concentrated acid is to be added.

c) 420 L of concentrated acid is to be added.

Choose the correct option.


1. Only a 
2. Only b
3. Only c
4. Neither a nor b

1 Answer

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Best answer
Correct Answer - Option 3 : Only c

Given

A sample of 60L of concentrated acid is found to be diluted to the extent of 40%. 

Formula Used

Basics of percentage.

Calculation

A sample of 60L of concentrated acid is found to be diluted to the extent of 40%

Amount of dilution in acid = 40% of 60

 40/100 

× 60 = 24 L

The amount of pure acid  = 60 - 24 = 36 L

Let 'a' be the amount of pure acid added to it so as to bring down the percentage of impurity to 5%.

New amount of Acid = 60 + a

Amount of pure acid = 36 + a

Required amount of pure acid = 95% of (60 + a)

 0.95 

× (60 + a) = 57 + 0.95a

Now,

36 + a = 57 + 0.95 a

⇒ a = 420 L

So, statement 'c' is correct.

∴ 420 L pure acid is to be added. So, the correct option is 3 (Only c).

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