CAT 2021 Quant Question [Slot 1] with Solution 19

Option: 200
Solution:
Let Bottle A have an indigo solution of strength 33% while Bottle B have an indigo solution of strength 17%.
The ratio in which we mix these two solutions to obtain a resultant solution of strength 21% : \(\frac{A}{B} = \frac{{21 - 17}}{{33 - 21}} = \frac{4}{{12}}or\;\frac{1}{3}\)
Hence, three parts of the solution from Bottle B is mixed with one part of the solution from Bottle A. For this process to happen, we need to displace 600 cc of solution from Bottle A and replace it with 600 cc of solution from Bottle B {since both bottles have 800 cc, three parts of this volume = 600cc}.As a result, 200 cc of the solution remains in Bottle B.
Hence, the correct answer is 200 cc.

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