John likes to have lightly flavored tea every evening. In a 50% strong milk tea, he replaces 15% of it with milk twice. Then, he replaces 10 percent of the resultant solution with more milk.
What is the final concentration of tea John drinks?
Correct answer: E
Explanation
Imagine starting out with 100 ml of 50% milk tea.
In step 1, 15% of the tea is replaced with milk. Thus, 85% of the original tea remains. Since this is done twice, we have a concentration of 50x0.85x0.85% (=36.125%) of tea solution.
Finally, 10% of this solution is replaced with milk again. So, the final concentration of tea is 36.125*0.9%
This equals 32.51% of tea solution.
E
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