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Barrel consist of 100 liters of grape juice, 10 liters of grape juice was removed and replaced with milk. This was repeated two times more. Calculate amount of milk added.
1. 32.3 L
2. 63.4 L
3. 27.1 L
4. 72.9 L
5. 31.8 L

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Correct Answer - Option 3 : 27.1 L

Given:

Barrel of grape juice = 100 L

10 L of juice replaced with milk = 3 times

Formula used:

Final Q = Initial Q × (1 - (volume removed/Initial Q)n

Here, n = Number of times volume taken out

Calculation:

Final Quantity = Initial Q × (1 - (volume removed/Initial Q)n

⇒ 100 × (1 – (10/100))3

⇒ 100 × (9/10) × (9/10) × (9/10)

⇒ 729/10

⇒ 72.9 L

Now, Milk added = 100 – 72.9

⇒ Milk added = 27.1

27.1 L of milk is to be added

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