Question

if 240litre milk contain 8% fat is mixed with 160 litre milk contain 15% fat. what will be the percentage of fat in the mixture
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Answer 1

Given:

• 240 litre milk contain 8% fat
• 160 litre milk contain 15%fat
• Both milk are mixed in each other.

To Find:

• Percentage of fat in mixture?

Solution:

Here, given that 8% fat is present in 240 litre milk and 15% fat is present in 160 litre milk.

Let finding fat present in each milk :

Condition 1:-

In this condition,we have 240 litre milk containing 8% fat.

Fat : 8% of 240

→ $\large{\sf{\dfrac{8}{100}×240}}$

→ $\large{\sf{\dfrac{8}{10{\cancel{0}}}×24{\cancel{0}}}}$

→$\large{\sf{\dfrac{192}{10}}}$

→ $\large{\sf{\dfrac{96}{5}}}$

→ $\large{\sf{19.2}}$

→ Therefore, 19.2 litre fat in present in this milk.

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Condition 2 :-

In this condition, we have 160 litre milk containing 15% fat.

Fat : 15% of 160

→ $\large{\sf{\dfrac{15}{100}×160}}$

→ $\large{\sf{\dfrac{15}{10{\cancel{0}}}×16{\cancel{0}}}}$

→ $\large{\sf{\dfrac{240}{10}}}$

→ $\large{\sf{24}}$

→ Therefore, 24 litre Fat is present in this milk.

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Now, we are given that milk are mixed.

Therefore,

• Total quantity of milk after mixing = 240 + 160 = 400 litre.
• Total fat in milk after mixing = 19.2 + 24 = 43.2 litre

Percentage :-

So,

Percentage of fat in milk ↓

→ $\large{\sf{\dfrac{43.2×100}{400}}}$

→ $\large{\sf{\dfrac{4320}{400}}}$

→$\large{\sf{10.8}}$

Therefore,

• Percentage of fat in mixture will be 10.8%