Question : If 80 litres of milk solution has 60% milk in it, then how much milk should be added to make milk 80% in the solution?
Option 1: 70 litres
Option 2: 50 litres
Option 3: 60 litres
Option 4: 80 litres
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Correct Answer: 80 litres
Solution :
Given: 80 litres of milk solution has 60% milk in it.
Milk in the solution $=\frac{60}{100}×80=48$
Water in the solution $80-48=32$
Let the added milk be $x$ litres to make milk 80% in the solution.
So, $\frac{48+x}{80+x}=\frac{80}{100}$
$⇒240+5x=320+4x$
$\therefore x =80$
Hence, the correct answer is 80 litres.
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