Alok, Gita, and Suresh invest ₹56,000, ₹52,000, and ₹69,000 respectively to start a business. At the end of the year, the total profit earned is ₹76,700. 31% of the total profit earned is given to charity and the rest is divided among them in the ratio of their investment. What will be the share of Suresh (in ₹)?

Given:

Investment of Alok = ₹56,000

Investment of Gita = ₹52,000

Investment of Suresh = ₹69,000

Total profit earned = ₹76,700

Charity = 31% of the total profit

Remaining profit = Total profit - Charity

Profit sharing ratio = Ratio of investments (Alok : Gita : Suresh)

Formula Used:

Charity = (31 / 100) × Total profit

Remaining profit = Total profit - Charity

Suresh's share = (Suresh's investment / Total investment) × Remaining profit

Calculation:

Charity = (31 / 100) × ₹76,700

⇒ Charity = ₹23,777

Remaining profit = ₹76,700 - ₹23,777

⇒ Remaining profit = ₹52,923

Total investment = ₹56,000 + ₹52,000 + ₹69,000

⇒ Total investment = ₹1,77,000

Profit sharing ratio (Alok : Gita : Suresh) = 56,000 : 52,000 : 69,000

⇒ Profit sharing ratio = 56 : 52 : 69

Suresh's share = (69 / (56 + 52 + 69)) × ₹52,923

⇒ Suresh's share = (69 / 177) × ₹52,923

⇒ Suresh's share = ₹20,631

Suresh's share is ₹20,631.