In a partnership Ravi invests 1/6 of the capital for 1/6 of the time,Harish invests 1/3 of the capital for 1/3 of the time and Gopal the rest of the capital for the whole time.What is the share of Harish in the profit of Rs 5000?Rs.869.6Rs.752.3Rs.985.3

To solve this problem, we need to calculate the ratio of each partner's investment to the total capital and the time they invested for. This is because in a partnership, the profit or loss is shared among the partners in the ratio of their investments and the time for which they invested.

Step 1: Calculate the ratio of each partner's investment to the total capital.

Ravi's investment = 1/6 of the capital Harish's investment = 1/3 of the capital Gopal's investment = 1 - Ravi's investment - Harish's investment = 1 - 1/6 - 1/3 = 1/2 of the capital

Step 2: Calculate the ratio of the time each partner invested for.

Ravi's time = 1/6 of the time Harish's time = 1/3 of the time Gopal's time = the whole time = 1

Step 3: Calculate the ratio of each partner's share in the profit.

Ravi's share = Ravi's investment * Ravi's time = (1/6) * (1/6) = 1/36 Harish's share = Harish's investment * Harish's time = (1/3) * (1/3) = 1/9 Gopal's share = Gopal's investment * Gopal's time = (1/2) * 1 = 1/2

Step 4: Calculate the total shares.

Total shares = Ravi's share + Harish's share + Gopal's share = 1/36 + 1/9 + 1/2 = 4/9

Step 5: Calculate Harish's share in the profit.

Harish's share in the profit = (Harish's share / Total shares) * Total profit = (1/9) / (4/9) * 5000 = Rs.1250

So, Harish's share in the profit of Rs 5000 is Rs.1250.