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

does that mean p received 80% of the profit?

To find the answer, we need to first calculate the salary received by partner q and the profit shares of p and q, assuming the profit was divided based on their investments. Then we can use the given information about p's profit share being Rs 8000 less than what he actually received to find the value of p's actual profit share.

Let's calculate step-by-step:

1. Calculate the salary received by partner q:
- The annual profit is Rs 50,000.
- q received 20% of the annual profit as his salary.
- Therefore, q's salary = (20/100) * Rs 50,000 = Rs 10,000.

2. Calculate the profit shares of p and q, assuming the profit was divided based on their investments:
- Total profit (Rs 50,000) = p's share + q's share + q's salary.
- Since p's profit share is Rs 8,000 more than what he actually received, we can represent it as:
p's share = (actual p's profit share) + Rs 8,000.
- Therefore, the equation becomes:
Rs 50,000 = (actual p's profit share) + Rs 8,000 + q's share + q's salary.
- Since we know q's salary is Rs 10,000, the equation further simplifies to:
Rs 50,000 = (actual p's profit share) + Rs 8,000 + q's share + Rs 10,000.

3. Rearrange the equation to find the actual profit share of p:
- Rs 50,000 = (actual p's profit share) + q's share + Rs 18,000.
- (actual p's profit share) = Rs 50,000 - q's share - Rs 18,000.
- (actual p's profit share) = Rs 32,000 - q's share.

So, the actual profit share of p is Rs 32,000 minus the share received by q.

Please note that to find the actual profit shares of p and q, we would need additional information about their investments or the ratio of their investments.