15 litres are drawn from a tank filled with juice and then replaced with water. This process is repeated 3 more times. The ratio of juice to water is now 81:175.
What was the quantity of juice in the tank originally?

100 litres

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240 litres

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180 litres

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120 litres

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60 litres

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Solution

The correct option is E
60 litres

$∴ O r i g i n a l q u a n t i t y o f j u i c e = (1 - \frac{15}{x})^{4} = \frac{81}{256} \Rightarrow x = 60 l i t e r s$

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15 litres are drawn from a tank filled with juice and then replaced with water. This process is repeated 3 more times. The ratio of juice to water is now 81:175. What was the quantity of juice in the tank originally?

The correct option is E 60 litres ∴ Original quantity of juice = (1−15x)4=81256⇒x=60 liters

15 litres are drawn from a tank filled with juice and then replaced with water. This process is repeated 3 more times. The ratio of juice to water is now 81:175.
What was the quantity of juice in the tank originally?

The correct option is E
60 litres

$∴ O r i g i n a l q u a n t i t y o f j u i c e = (1 - \frac{15}{x})^{4} = \frac{81}{256} \Rightarrow x = 60 l i t e r s$