Question

40 litres of milk contains 10% water.Find the quantity of water to be added to the milk so that it may containing 20% water.​

Answer 1

Answer:

5 litres

Step-by-step explanation:

Answer 2

Answer:

Quantity of water added  = 5 liters.

Step-by-step explanation:

As per the given data of question,

Total quantity of milk = 40 liters

Quantity of water = 10 %

This implies that,

10% of 40 = quantity of water in liter

$\Rightarrow \frac{10}{100} \times 40=4\textrm{ liters}$

∴ quantity of water present initially = 4 liters

Now,

Let the quantity of water added be x.

∴ New quantity of = 4 +x

and new final quantity of milk = 40 + x

As we have to find he quantity of water added to the milk so that it contains 20 % water,

Therefore,

$\Rightarrow \frac{4+x}{40+x}\times 100 =20$

$\Rightarrow \frac{4+x}{40+x} = \frac{20}{100}$

$\Rightarrow \frac{4+x}{40+x} = \frac{1}{5}$

$\Rightarrow 20+5x=40 + x$

$\Rightarrow 4x=20$

$\Rightarrow x=5$

Hence,the quantity of water added = 5 liters