Multiple choice

Ratio of alcohol, water and soda in a mixture is 5 : 7 : 8. Rohan increases their percentage by 40%, 50% and 75% respectively. What will be the ratio of the increased quantities?

  1. 33 : 3.3 : 2.2

  2. 5 : 7 : 8

  3. 1 : 3 : 4

  4. 2 : 3 : 4

  5. 2 : 3 : 9
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial ratio 5:7:8. New quantities: 5*1.4 = 7, 7*1.5 = 10.5, 8*1.75 = 14. Ratio 7 : 10.5 : 14. Multiply by 2: 14 : 21 : 28. Divide by 7: 2 : 3 : 4.

AI explanation

Increasing the respective quantities by 40, 50, and 75 percent means multiplying the initial ratio parts of 5, 7, and 8 by 1.4, 1.5, and 1.75 respectively. This yields the new numerical values of 7 for alcohol, 10.5 for water, and 14 for soda. Dividing these values by their greatest common divisor of 3.5 gives the simplified ratio of 2 to 3 to 4.

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