# A chemical solution contains 30% water and 70% Alkali

A chemical solution contains 30% water and 70% Alkali. What quantity of water should be added to 6 litre of solution so that water content becomes 40%?

(a) 900 ml

(b) 1000 ml

(c) 500 ml

(d) 700 ml

**Answer: (b) 1000 ml**

**Solution:-**

Let X liter of water is added to the solution.

Then, Total quantity of solution= (6 + x) litre

Then, Total quantity of solution= (6 + x) litre

Quantity of water = (1.8 + X) litre

concentration of water = 40%

concentration of water = 40%

Quantity of water in 6 litre solution = 6 x 30/100

= 1.8 litre

Therefore,

(6 + x) x 40/100 = 1.8 + X

(6 + X) x 2/5 = 1.8 + X

2 (6 + X) = 5 (1.8 + X)

12 + 2 X = 9 + 5 X

3 X = 3

X = 1 litre

As we know that 1 litre = 1000 ml

Then, the quantity of water should be added 1000 ml.

Hence, the correct answer is option (b) 1000 ml.