Multiple choice

Ajeet's present age in years is 33.33% of Gaurav's. In another few years, Ajeet's age will be half of Gaurav's. By what percentage will Ajeet's age increase during this period?

  1. 33.33%

  2. 20%

  3. 50%

  4. 45%

  5. 100%
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Ajeet's present age = 33.33% of Gaurav's = (1/3) × Gaurav. So Ajeet:Gaurav = 1:3 currently. Let ages be x and 3x. In future, Ajeet = (1/2) × Gaurav. Let n years pass: (x+n) = (1/2)(3x+n). Solving: 2x+2n = 3x+n, so n = x. Ajeet's age increases from x to 2x, which is a 100% increase. Option E (100%) is correct.

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