Multiple choice

The ratio of A and B is 3 : 4. After 12 years B's age become 20% more than present age. Find after 5 years, age of B will be what percent more than age of A. A और B की आयु का अनुपात 3 : 4 है । 12 वर्ष बाद B की आयु उसकी वर्तमान आयु से 20% अधिक हो जायेगी । ज्ञात कीजिये 5 वर्ष के बाद, B की आयु, A की आयु से कितने प्रतिशत अधिक होगी ?

  1. 30%

  2. 40%

  3. 50%

  4. 15%
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A Correct answer
Explanation

Let A = 3x, B = 4x. After 12 years, B = 4x + 12 = 1.2 × 4x = 4.8x. Solving: 4x + 12 = 4.8x gives 12 = 0.8x, so x = 15. Present ages: A = 45, B = 60. After 5 years: A = 50, B = 65. B is (65-50)/50 × 100 = 30% more than A. The key is first finding B's present age using the 20% increase information.

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