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# CAT 2018 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Ratio Proportions and Mixtures Questions | Question 33

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Question 33 : The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. The ratio of the strength of D to that of A is

1. 3 : 10
2. 1 : 3
3. 2 : 5
4. 1 : 4

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So $$frac{A + 2B + 3C}{6}$ = 0.2 ⟹ A + 2B + 3C = 1.2 ------$1)
So, $$frac{3A + 2B + C}{6}$ = 0.3 ⟹ 3A +2B + C = 1.8 -------$2)