Multiple choice

A man has two sons whose ages are 15 years and 13 years. The man has 4,50,000 rupees . He gives some money to his elder son and remaining to the younger son. If bank gives 5% interest to the elder son and 2% interest to the younger son and after completing 18 years of their ages the bank gives same money to both the sons then find what amount of money ( in rupees ) the man gave to his both sons.

  1. 3,25,000 , 1,25,000

  2. 2,00,000 , 2,50,000

  3. 1,50,000 , 3,00,000

  4. 2,20,000 , 2,30,000

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let elder son get x, younger get (450000-x). After interest: x(1+0.05×3) and (450000-x)(1+0.02×5) must be equal. Solving: 1.15x = 1.1(450000-x) → 2.25x = 495000 → x = 220000. Elder gets 2,20,000; younger gets 2,30,000. Option D is correct.