 Hello and how are you all today? The question says in a business partnership, A invest half of the capital for half of the period, B invest one third of the capital for one third of the period and C invest the rest of the capital for the whole period. Find the share of each in the total profit of rupees 1,90,000. Here let the total capital, now here A's investment is of the capital. Right? B's investment is one third of the capital and C's investment is the rest. That means if we subtract the sum of x by 2 plus x by 3, we will get C's investment that is x minus 5 by 6 that is x by 6. Right? Now let the total time period of the investment, now it's given to us in the question that investing half of the capital for half of the period. So half of the capital for half of the period that will be nx by 4. Right? Similarly B's effective investment is one third of the capital for one third of the period that is nx by 9 and C's effective investment will be the rest of the capital that we have found out about as x by 6 for the whole period. So it is nx by 6. Right? So ratio of investments nx by 4 is to nx by 9 is to nx by 6. We can write it as 9 is to 4 is to 6. That is the ratio of their investment and that will be the profit sharing ratio as well. We are given the total profit as rupees 190,000. So is share in profit as well as B's share in profit 946 respectively divided by the sum that is 19 multiplied by the total profit. On simplifying we have the answer as rupees 90,000, rupees 40,000 and rupees 60,000 respectively. Right? So this completes the solution. Hope you understood it well and have a nice day.