Multiple choice

The ratio of ages of Sumit and his father is 1 : 4. After 8 years, the father's age would be two and a half times Sumit's age. After another 8 years, Sumit's age would be what percentage of the sum of their ages?

  1. 23.67%

  2. 29.35%

  3. 33.33%

  4. 41.47%

  5. 66.67%
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C Correct answer
AI explanation

Let the present ages of Sumit and his father be x and 4x. After 8 years, 4x + 8 = 2.5(x + 8), which simplifies to 4x + 8 = 2.5x + 20, giving 1.5x = 12 and x = 8. After another 8 years, their ages will be 24 and 56. The required percentage is (24 / (24 + 56)) * 100, which equals (24 / 80) * 100, or 33.33 percent.

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