Select the correct answerP is a working and Q is a Sleeping partner in a business. P invested Rs. 5000 and Q invests Rs. 4000. P receives 2/11 of the profit for managing and the rest being divided in proportion to their capital. If P receives a total profit of Rs. 2800. Find the total profit.OptionsRs. 4000Rs. 4400Rs. 3300Rs. 5500
Question
Select the correct answerP is a working and Q is a Sleeping partner in a business. P invested Rs. 5000 and Q invests Rs. 4000. P receives 2/11 of the profit for managing and the rest being divided in proportion to their capital. If P receives a total profit of Rs. 2800. Find the total profit.OptionsRs. 4000Rs. 4400Rs. 3300Rs. 5500
Solution
To solve this problem, we need to first understand the distribution of the profit.
- P receives 2/11 of the profit for managing the business.
- The rest of the profit is divided in proportion to their capital investment.
Given that P receives a total profit of Rs. 2800, we can set up the following equation:
(2/11)*Total Profit + (P's Capital/Total Capital)*Remaining Profit = P's Total Profit
Substituting the given values:
(2/11)Total Profit + (5000/(5000+4000))((9/11)*Total Profit) = 2800
Solving this equation will give us the Total Profit.
Let's simplify the equation:
(2/11)Total Profit + (5/9)((9/11)*Total Profit) = 2800
(2/11)*Total Profit + (5/11)*Total Profit = 2800
(7/11)*Total Profit = 2800
Total Profit = 2800 * (11/7) = Rs. 4400
So, the correct answer is Rs. 4400.
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