CAT 2018 Ratio, Proportion and Variation Question (Hard)

Question

There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 4 and in this final mixture, A and B are in the ratio 13 7. In drum 2, then A and B were in the ratio

Accepted Answer

Step 1 Let volume taken from drum 1 3x and drum 2 4x Drum 1 ratio A B 18 7 Total 25, so A 18 25, B 7 25 From 3x of drum 1 A 18 25 3x 54x 25 B 7 25 3x 21x 25 Let drum 2 have A B a b total a b From 4x of drum 2 A a a b 4x B b a b 4x Step 2 In final mixture 3x 4x 7x , A B 13 7 A 13 20 7x 91x 20 B 7 20

CAT 2018

Quantitative

Ratio, Proportion and Variation

Hard

There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 : 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B are in the ratio 13 : 7. In drum 2, then A and B were in the ratio

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