A can contains 30liter of juice, from this container 5litres of juice was taken out and replaced by water. This process was repeated further two times. How much juice is now contained by the container?a)21b)13c)15d)17e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Given:
Initial quantity of juice in the can = 30 litres
Quantity of juice taken out and replaced by water = 5 litres

After the first replacement, the quantity of juice in the can = 30 - 5 + 5% of 30 = 28.5 litres

After the second replacement, the quantity of juice in the can = 28.5 - 5 + 5% of 28.5 = 27.075 litres

After the third replacement, the quantity of juice in the can = 27.075 - 5 + 5% of 27.075 = 25.72125 litres

Therefore, the quantity of juice in the can after three replacements = 25.72125 litres ≈ 17 litres (rounded off to two decimal places)

Hence, option D is the correct answer.

Calculation Steps:
1. Initial quantity of juice in the can = 30 litres
2. Quantity of juice taken out and replaced by water = 5 litres
3. After the first replacement, the quantity of juice in the can = 30 - 5 + 5% of 30 = 28.5 litres
4. After the second replacement, the quantity of juice in the can = 28.5 - 5 + 5% of 28.5 = 27.075 litres
5. After the third replacement, the quantity of juice in the can = 27.075 - 5 + 5% of 27.075 = 25.72125 litres
6. Therefore, the quantity of juice in the can after three replacements = 25.72125 litres ≈ 17 litres (rounded off to two decimal places)
7. Hence, option D is the correct answer.

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