Three partners, X, Y and Z, shared profits. If the total profit was , X's share being less than Z's and Y's share being less than Z's, then find the profit sharing ratio of X Y Z.
- A2 : 3 : 4
- B3 : 4 : 5
- C4 : 5 : 6
- D5 : 6 : 7
Solution & Step-by-step Explanation
1. Let Z's share of profit be .
* X's share = z - 200
2. Since the total profit is $\text{Rs. } 3,000$:
\text{X's share} + \text{Y's share} + \text{Z's share} = 3000
$$
3. Substitute to find individual shares:
* Z's share =
* X's share =
* Y's share =
4. Find the profit sharing ratio X Y Z:
* X's share = z - 200
2. Since the total profit is $\text{Rs. } 3,000$:
\text{X's share} + \text{Y's share} + \text{Z's share} = 3000
$$
3. Substitute to find individual shares:
* Z's share =
* X's share =
* Y's share =
4. Find the profit sharing ratio X Y Z: