Partnership & Profit Sharing

Abhi and Balu invested for 12 months each, while Chintu invested for only 7 months (12-5=7).
Investment ratio of Abhi, Bablu and Chintu = 30000 * 12 : 18000 * 12 : 45000 * 7 = 360 : 216 : 315 = 40 : 24 : 35
=> Profit share of Chintu = $$\frac{35}{40+24+35}$$ = $$\frac{35}{99}$$
Total profit = Rs 19800
=> Profit of Chintu = $$\frac{35}{99}*19800$$ = 35 * 200 = Rs 7000.

Ratio of profits earned by Ram : Shyam = 4000 : 6000

= 2 : 3

If profit < 2,00,000

% of profit earned by Shyam = $$\frac{3}{5} \times$$ 100 = 60%

If 2,00,000 < profit < 4,00,000, he gets 20 % and 60 % of the remaining profit.

% of profit earned by Shyam = 20% + .80 $$\times$$ 60% = 68%

If profit > 4,00,000

% of profit earned by Shyam = 35 % + .65 $$\times$$ 60% = 74%

Now, for first 2,00,000 profit earned by Shyam = $$\frac{60}{100} \times$$ 2,00,000 = Rs. 1,20,000

For second 2,00,000 profit earned by Shyam = $$\frac{68}{100} \times$$ 2,00,000 = Rs. 1,36,000

Let total profit earned by them = Rs. (4,00,000 + $$x$$)

=> From $$Rs. x$$ profit, Shyam received = 3,67,000 - 1,20,000 - 1,36,000 = Rs. 1,11,000

=> $$\frac{74}{100} \times x$$ = 1,11,000

=> $$x$$ = 1,11,000 $$\times \frac{100}{74}$$ = 1,50,000

$$\therefore$$ Total profit = 4,00,000 + 1,50,000 = Rs. 5,50,000