A sum of ₹30600 is left by will by a father to be divided between two sons of 11 and 14 years of age, so that when they attain maturity at 18, the amount received by each at 5% simple interest will be the same. Find the sum allotted at present to each son.

16200 , 14400

Let the sum alloted to son1 be P₁ and son2 be P₂ = 30600- P₁

\(\frac{P₁ x 135 }{100}\) =   \(\frac{P₂ x 120}{100}\)

P₁ x  27         =   (30600 - P₁)  x 24

 P₁ =   14,400

⇒ P₂ = 30600- 14400 = 16,200