A, B, and C jointly started a business with ₹1,80,000. A invested ₹20,000 more than B, and B invested ₹20,000 more than C. Distribute the profit of ₹10,800 among them.

Q.A, B, and C jointly started a business with ₹1,80,000. A invested ₹20,000 more than B, and B invested ₹20,000 more than C. Distribute the profit of ₹10,800 among them.

Let C’s investment be ₹\(x\). \[ \therefore \text{B’s investment} = x + ₹20,000 \text{A’s investment} = x + ₹20,000 + ₹20,000 = x + ₹40,000 \] Now, \[ x + (x + 20,000) + (x + 40,000) = ₹1,80,000 \Rightarrow 3x + ₹60,000 = ₹1,80,000 \Rightarrow 3x = ₹1,20,000 \Rightarrow x = ₹40,000 \] So, the investments are: - A = ₹80,000 - B = ₹60,000 - C = ₹40,000 Their investment ratio: \[ 80,000 : 60,000 : 40,000 = 4 : 3 : 2 = \frac{4}{9} : \frac{3}{9} : \frac{2}{9} \quad [\text{since } 4 + 3 + 2 = 9] \] Now, divide the profit of ₹10,800 accordingly: - A’s share = ₹10,800 × \(\frac{4}{9}\) = ₹4,800 - B’s share = ₹10,800 × \(\frac{3}{9}\) = ₹3,600 - C’s share = ₹10,800 × \(\frac{2}{9}\) = ₹2,400 Therefore, A, B, and C will receive ₹4,800, ₹3,600, and ₹2,400 respectively as their share of the profit.