There is a bottle of coke. $25 %$ is replaced by pepsi. Again $25 %$ is replaced by Pepsi and finally another $25 %$ is replaced by Pepsi. What is the approximate final $%$ of coke in the bottle?

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Solution

The correct option is C 42
Option (c)

Let the bottle contain 100 units of liquid.

Liquid taken out in each case is $25 %$

The final quantity of component from the original mixture that is not being replaced, if this operation is repeated 3 times, is $100 (1 - \frac{25}{100})^{3}$

$100 (0.75)^{3} = 42.18 %$

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There is a bottle of coke. 25% is replaced by pepsi. Again 25% is replaced by Pepsi and finally another 25% is replaced by Pepsi. What is the approximate final % of coke in the bottle?

The correct option is C 42Option (c) Let the bottle contain 100 units of liquid. Liquid taken out in each case is 25% The final quantity of component from the original mixture that is not being replaced, if this operation is repeated 3 times, is 100(1−25100)3 100(0.75)3=42.18%

There is a bottle of coke. $25 %$ is replaced by pepsi. Again $25 %$ is replaced by Pepsi and finally another $25 %$ is replaced by Pepsi. What is the approximate final $%$ of coke in the bottle?