Ganeshi Lal distributed ₹10950 among his three sons A, B, C in such a way that the amount of their parts at 10% simple interest in 2 years, 4 years and 6 years will be equal. A's share is ?

4200

Let the three parts = P₁, P₂, P₃

⇒ Total interest on P₁ = 10 × 2 = 20%

⇒ Total interest on P₂ = 10 × 4 = 40%

⇒ Total interest on P₃ = 10 × 6 = 60%

ATQ,

P₁ × 120% = P₂ × 140% = P₃ × 160%

P₁ × 12 = P₂ × 14 = P₃ × 16

P₁ × 6 = P₂ × 7 = P₃ × 8

P₁ : P₂ : P₃ = \(\frac{1}{6}\) : \(\frac{1}{7}\) : \(\frac{1}{8}\) 

 = 28 : 24 : 21 = 73R

⇒ 73R = 10950

⇒ R = 150

A's share  = 28R = 4200