p and q started a business. they made an annual profit of rs 50000. q being a working partner received 20 % of the annual profit as his salary. if the entire profit were divided in the ratio of their investment, p would received rs 8000 more as his profit share than what he actually got. find p's actual profit share in rs
Please explain easy way
To find p's actual profit share, we need to follow the given information and steps:
Step 1: Determine q's salary
Given that q received 20% of the annual profit as his salary, we can calculate it by:
q's salary = 20% of rs 50000
Step 2: Calculate the remaining portion of the profit
The remaining portion of the profit, which will be divided according to the investment ratio, can be found by subtracting q's salary from the annual profit:
Remaining profit = rs 50000 - q's salary
Step 3: Determine the difference in profit shares
According to the problem, if the entire profit were divided in the ratio of their investment, p would receive rs 8000 more as his profit share than what he actually got. Thus, we can calculate the difference in profit shares as:
Difference in profit shares = rs 8000
Step 4: Set up the equation
Now, let's set up the equation using the given information:
p's actual profit share - p's profit share if divided according to the investment ratio = rs 8000
Step 5: Solve the equation
Using the equation from step 4, we can solve for p's actual profit share:
p's actual profit share = p's profit share if divided according to the investment ratio + rs 8000
Now, you can substitute the calculated q's salary from step 1 into the equation and solve for p's actual profit share.