To solve the problem step-by-step, we need to analyze the information given about the football tournament involving teams A, B, and C.
### Step 1: Analyze the A-B Match
- **B wins the match against A**.
- **Total points scored by B in this match = 4**.
- **Team A scored 2 goals** and none from outside.
Since A scored 2 goals:
- Points for A = 2 goals × 2 points/goal = 4 points.
- B must have scored 3 goals (since A conceded 2 goals, B gets points for those).
- Points for B = 3 goals × 2 points/goal - 1 point (penalty for conceding) = 6 - 1 = 5 points.
However, since B scored a total of 4 points, it can be concluded that:
- B scored 2 goals (2 points each) and 1 goal from outside (3 points).
- Therefore, B's total points = 2 goals × 2 points + 3 points (outside goal) - 1 point (penalty) = 4 points.
### Step 2: Analyze the A-C Match
- **C scored 0 points in this match**.
- **A scored 4 points**.
- Only one player from team A scored a goal from outside.
Since A scored 4 points:
- Points for A = 3 points (for the outside goal) + 2 points (for one inside goal) = 5 points.
- Since C scored 0 points, A must have scored 2 goals (1 from outside and 1 from inside).
### Step 3: Analyze the B-C Match
- **B gets 6 points from this match**.
- **Team C scored 1 goal more than Team B**.
- One player from team B scored a goal from outside, and none from team C.
Let’s denote the goals scored by B as x. Then C scored x + 1 goals.
- Points for B = 3 points (for the outside goal) + (x - 1) × 2 points (for the inside goals).
Since B scored 6 points:
- 3 + 2(x - 1) = 6
- 2(x - 1) = 3
- x - 1 = 1.5 (not possible, x must be an integer).
Let’s assume B scored 2 goals:
- Points for B = 3 (outside goal) + 2 (inside goal) - 1 (penalty for conceding) = 4 points.
If B scored 2 goals, then C scored 3 goals (1 more than B):
- Points for C = 3 goals × 2 points = 6 points.
### Step 4: Calculate Total Points for Each Team
- **Team A**:
- A-B Match: 4 points
- A-C Match: 4 points
- Total for A = 4 + 4 = 8 points.
- **Team B**:
- A-B Match: 4 points
- B-C Match: 6 points
- Total for B = 4 + 6 = 10 points.
- **Team C**:
- A-C Match: 0 points
- B-C Match: 6 points
- Total for C = 0 + 6 = 6 points.
### Step 5: Determine Rankings
- Team B: 10 points (Rank 1)
- Team A: 8 points (Rank 2)
- Team C: 6 points (Rank 3)
### Step 6: Prize Money Distribution
- Rank 3 (Team C) gets Rs. 60,000.
- The ratio of prize money for Rank 1, Rank 2, and Rank 3 is 8:5:3.
Let the prize money for Rank 1 = 8x, Rank 2 = 5x, and Rank 3 = 3x.
- 3x = 60,000 → x = 20,000.
- Therefore, prize money for:
- Rank 1 = 8x = 160,000
- Rank 2 = 5x = 100,000
- Rank 3 = 3x = 60,000.
### Final Answer
The correct combination of team and prize money is:
- Team B: Rs. 160,000
- Team A: Rs. 100,000
- Team C: Rs. 60,000
