Answer: A
A:B = 2:3 = (2×2):(3×2) = 4:6 B:C = 6:5 ∴ A:B:C = 4:6:5 = \(\frac{4}{15} : \frac{6}{15} : \frac{5}{15}\) [because 4 + 6 + 5 = 15] ∴ \(\frac{4}{15}\) of the total profit = ₹400 ∴ Total profit = ₹400 × \(\frac{15}{4}\) = ₹1500 ∴ C’s share of the profit = ₹1500 × \(\frac{5}{15}\) = ₹500 (Answer)
A:B = 2:3 = (2×2):(3×2) = 4:6 B:C = 6:5 ∴ A:B:C = 4:6:5 = \(\frac{4}{15} : \frac{6}{15} : \frac{5}{15}\) [because 4 + 6 + 5 = 15] ∴ \(\frac{4}{15}\) of the total profit = ₹400 ∴ Total profit = ₹400 × \(\frac{15}{4}\) = ₹1500 ∴ C’s share of the profit = ₹1500 × \(\frac{5}{15}\) = ₹500 (Answer)