Ganeshi Lal distributed ₹25300 among his three sons A, B, C in such a way that the amount of their parts at 10% simple interest in 2 years, 3 years and 4 years will be equal. A's share is?

9100

Let the three parts = P₁, P₂, P₃

⇒ Total interest on P₁ = 10 × 2 = 20%

⇒ Total interest on P₂ = 10 × 3 = 30%

⇒ Total interest on P₃ = 10 × 4 = 40%

ATQ,

P₁ × 120% = P₂ × 130% = P₃ × 140%

P₁ × 12 = P₂ × 13 = P₃ × 14

P₁ : P₂ : P₃ = 91 : 84 : 78 = 253R

⇒ 253R = 25300

⇒ R = 100

A's share = 9100