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 ?
Answer & explanation
Correct answer: option 2
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