Question : 470 litres of a mixture of milk and water contains 5% of water. A mischievous boy added some water in the mixture and now there is 6% water in the new mixture. Find the quantity of water added by the boy in the mixture.
Option 1: 6 litres
Option 2: 8 litres
Option 3: 5 litres
Option 4: 10 litres
Correct Answer: 5 litres
Solution :
Given: 470 litres of a mixture of milk and water contains 5% of water.
A mischievous boy added some water in the mixture and now there is 6% water in the new mixture.
Let the water added be $x$ litre.
5% of 470 litres = 23.5 litres
According to the question,
$\frac{23.5+x}{470+x}\times 100=6$
⇒ $2350+100x=2820+6x$
⇒ $94x=470$
⇒ $x=5$ litres
Hence, the correct answer is 5 litres.
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