Study the given information carefully and answer the following questions.
There was a football tournament of three teams i.e. A, B and C in which each team played 2 matches. Score pattern of the tournament is:
• A team gets 2 points for scoring a goal against the opponent team.
• A team gets 3 points for scoring a goal against the opponent team from the outside area.
• There is a penalty of 1 point if a team concedes a goal.
• Only three players from each team scored the goals.
A – B Match: B is the winner of this game. Total points scored by B in this match is 4 . Also, team A scored 2 goals and none of the players scored the goal from the outside area.
A – C Match: C scored 0 points in the match. Only one player from team A scored a goal from outside area. A scored 4 points in this match.
B – C Match: B gets 6 points from match. Team C scored 1 goal more than Team B. One player from team B scored a goal from outside area but none from team C.
.In the tournament, total points scored by team B is what percent more than total points scored by team A?

Options

A. `50%`
B. `75%`
C. `100%`
D. `125%`

Explanation

To solve the problem, we need to analyze the matches and calculate the total points scored by each team based on the given rules. Let's break it down step by step.

### Step 1: Analyze the A vs B Match
- **B is the winner** with a total of **4 points**.
- **Team A scored 2 goals** and none from outside.

Using the scoring rules:
- Team A scores 2 goals: \(2 \times 2 = 4\) points.
- Team B must have scored 3 goals (since they won) and conceded 1 goal from Team A:
- Points for B: \(3 \times 2 - 1 = 4\) points.

Thus, in the A vs B match:
- **Team A points**: 4
- **Team B points**: 4

### Step 2: Analyze the A vs C Match
- **Team C scored 0 points**.
- **Team A scored 4 points** with one player scoring from outside.

From the scoring:
- One goal from outside gives Team A 3 points, and the other goal gives 2 points.
- Total points for Team A in this match: \(3 + 2 - 0 = 4\) points.

Since Team C scored 0 points:
- **Team C points**: 0

### Step 3: Analyze the B vs C Match
- **Team B scored 6 points**.
- **Team C scored 1 goal more than Team B**.

Let’s denote the goals scored by Team B as \(x\) and by Team C as \(x + 1\).
- For Team B:
- If \(x\) is the number of goals scored, then:
- Points for B: \(3 + (x - 1) = 6\) (since one goal was from outside).
- This implies \(x = 3\) (2 points for 2 goals and 3 points for 1 goal from outside).

Thus, Team C scored \(x + 1 = 4\) goals:
- Points for C: \(4 \times 2 - 0 = 8\) points.

### Step 4: Calculate Total Points for Each Team
Now we can summarize the total points for each team:
- **Team A**:
- Points from A vs B: 4
- Points from A vs C: 4
- **Total for A = 4 + 4 = 8 points**

- **Team B**:
- Points from A vs B: 4
- Points from B vs C: 6
- **Total for B = 4 + 6 = 10 points**

- **Team C**:
- Points from A vs C: 0
- Points from B vs C: 8
- **Total for C = 0 + 8 = 8 points**

### Step 5: Calculate the Percentage
Now we need to find what percent more the total points scored by Team B is compared to Team A:
- Total points scored by Team B = 10
- Total points scored by Team A = 8

The formula for percentage increase is:
\[ \text{Percentage Increase} = \left( \frac{\text{B's Points} - \text{A's Points}}{\text{A's Points}} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage Increase} = \left( \frac{10 - 8}{8} \right) \times 100 = \left( \frac{2}{8} \right) \times 100 = 25\% \]

### Final Answer
The total points scored by team B is **25% more** than total points scored by team A.

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