Multiple choice

A jar contains a mixture of two liquids A and B in the ratio of 23 : 17. Another jar contains a mixture of the same liquids in the ratio of 11 : 9. A new mixture is formed by taking out some amount from both mixtures. Find the ratio of the amount taken out if the ratio of liquids in new mixture is 17 : 13.

  1. 4 : 1

  2. 1 : 4

  3. 1 : 2

  4. 2 : 1
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Use allegation principle. Jar 1 has 23/40 = 57.5% liquid A. Jar 2 has 11/20 = 55% liquid A. Target mixture needs 17/30 ≈ 56.67% liquid A. Using allegation: |56.67 - 55| : |57.5 - 56.67| = 1.67 : 0.83 = 2 : 1. So ratio is 2:1, option D.

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