Multiple choice

Mixtures A and B are contained in two separate vessels. Mixture A contains ingredients P, Q and R in a ratio of 3 : 5 : 2 and mixture B contains ingredients P and Q in a ratio of 4 : 5. We have to make 540 litres of a new mixture by adding the mixtures A and B in a ratio of 1 : 2. What will be the quantity of ingredient P in the final mixture?

  1. 201 litres

  2. 210 litres

  3. 214 litres

  4. 231 litres

  5. 260 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total mixture = 540L. Ratio A:B = 1:2, so A = 180L, B = 360L. In A (ratio 3:5:2), P = 3/10 * 180 = 54L. In B (ratio 4:5), P = 4/9 * 360 = 160L. Total P = 54 + 160 = 214L.

AI explanation

The total 540 litres of the final mixture is divided between mixture A and mixture B in a 1 : 2 ratio, so mixture A is 180 litres and mixture B is 360 litres. Mixture A contains ingredient P as 3/10 of its volume, which gives 54 litres of P. Mixture B contains ingredient P as 4/9 of its volume, giving 160 litres of P. The total quantity of ingredient P in the final mixture is 54 + 160, which equals 214 litres.

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