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The provided image describes a problem involving three individuals, X, Y, and Z, who invest money together over a period of time and share the profits based on their investment proportions.

Here is the breakdown of the problem:

### Problem Overview:
1. **Initial Investments:**
   - X invested Rs. 20000.
   - Y invested Rs. 25000.
   - Z invested Rs. 15000.

2. **After the First Year:**
   - X adds Rs. 5000.
   - Y adds Rs. 4000.
   - Z withdraws Rs. 6000, leaving Z's investment as Rs. 9000.

3. **After Another Year:**
   - X adds 15% of what he initially invested (15% of Rs. 20000).
   - Y adds 20% of what he initially invested (20% of Rs. 25000).
   - Z adds one-third of what he initially invested (one-third of Rs. 15000).

4. **Profit Distribution:**
   - They decide to divide 30% of the total profit equally for their team effort.
   - The remaining 70% is divided based on their investment amounts.

5. **Total Profit After 3 Years:**
   - The total profit made after 3 years is Rs. 75400.

### Required Steps:
1. Calculate the total amount invested by X, Y, and Z over the 3 years.
2. Determine their respective shares based on their total investments.
3. Compute the profit distribution as described (30% equally, 70% by investment proportion).

Would you like me to go through these calculations step-by-step to find the answers to the questions mentioned in the problem?

X, Y, and Z started a business together. They each put in some money to start with. X invested Rs. 20000, Y invested Rs. 25000, and Z invested Rs. 15000. After the first year, X added Rs. 5000 more, Y added Rs. 4000, and Z withdrew Rs. 6000, so Z's total was Rs. 9000. After another year, they all added more money: X added 15% of what he initially invested in the first year, Y added 20% of what he initially invested in the first year, and Z added one-third of what he initially invested. They agreed to divide 30% of the total profit for team effort, and the rest would be divided based on how much they invested. After 3 years, they made a total profit of Rs. 75400.

Explore a profit-sharing problem involving X, Y, and Z, who invest over three years. The problem involves percentage increases, withdrawals, and proportional distribution of a total profit of Rs. 75400. This problem is suitable for students in Grades 10-12 and covers essential mathematical concepts like percentage increase and proportional distribution.

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