A vessel is full of 80 litres milk. 8 litres milk taken out and replaced by water. Again 8 litre mixture taken out and replaced by water. Find the amount of milk in the final mixture so formed.
Answer & explanation
Correct answer: option 3
⇒ \(\frac{8}{80}\) = \(\frac{1⇒replaced}{10 ⇒total}\)
=\(\frac{9⇒remaining}{10 ⇒Total}\)
Milk: Total : Remaining
1st process : 10 : 9
2nd process : 10 : 9
100 : 81
ATQ,
100 R= 80 (given)
1R = \(\frac{4}{5}\)
Hence,
81R = 81 × \(\frac{4}{5}\) = 64.8 L
Alternate:
⇒ \(\frac{8}{80}\) = \(\frac{1⇒replaced}{10 ⇒total}\)
=\(\frac{9⇒remaining}{10 ⇒Total}\)
Milk Remaining : 80 × \(\frac{9}{10}\) × \(\frac{9}{10}\) = 64.8L