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.985.3None of these
Question
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.985.3None of these
Solution
To solve this problem, we need to understand that in a partnership, the share of profit is divided according to the ratio of the capital invested and the time for which the capital is invested. This is also known as the Capital-Time contribution.
Step 1: Let's assume the total capital to be 'C' and the total time to be 'T'.
Step 2: Calculate the Capital-Time contribution for each partner.
- Ravi's Capital-Time contribution = (C/6) * (T/6) = CT/36
- Harish's Capital-Time contribution = (C/3) * (T/3) = CT/9
- Gopal's Capital-Time contribution = (C - C/6 - C/3) * T = (C/2)*T = CT/2
Step 3: Calculate the total Capital-Time contribution.
Total Capital-Time contribution = CT/36 + CT/9 + CT/2 = CT/36 + 4CT/36 + 18CT/36 = 23CT/36
Step 4: Calculate the share of each partner.
- Ravi's share = (CT/36) / (23CT/36) = 1/23
- Harish's share = (CT/9) / (23CT/36) = 4/23
- Gopal's share = (CT/2) / (23CT/36) = 18/23
Step 5: Calculate Harish's share in the profit of Rs 5000.
Harish's share in the profit = 4/23 * 5000 = Rs.869.6
So, the share of Harish in the profit of Rs 5000 is Rs.869.6.
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