In a game, if we hit a balloon, we get 300 points and if we miss the balloon, we lose 100 points. Raj hits 15 balloons and misses 40 balloons. Find his net score.

Options

A. 500
B. 400
C. 300
D. 200

Answer

To find Raj's net score in the game, we can follow these steps:

### Step 1: Calculate Points from Hits
Raj hits 15 balloons, and for each hit, he earns 300 points.

\[ \text{Points from hits} = \text{Number of hits} \times \text{Points per hit} \]
\[ \text{Points from hits} = 15 \times 300 \]

### Step 2: Perform the Multiplication
Now, we can calculate the total points from the hits.

\[ 15 \times 300 = 4500 \]

### Step 3: Calculate Points Lost from Misses
Raj misses 40 balloons, and for each miss, he loses 100 points.

\[ \text{Points lost from misses} = \text{Number of misses} \times \text{Points lost per miss} \]
\[ \text{Points lost from misses} = 40 \times 100 \]

### Step 4: Perform the Multiplication
Now, we can calculate the total points lost from the misses.

\[ 40 \times 100 = 4000 \]

### Step 5: Calculate the Net Score
To find the net score, we subtract the points lost from the points earned.

\[ \text{Net Score} = \text{Points from hits} - \text{Points lost from misses} \]
\[ \text{Net Score} = 4500 - 4000 \]

### Step 6: Perform the Subtraction
Now, we can calculate the net score.

\[ 4500 - 4000 = 500 \]

### Final Answer
Raj's net score is **500 points**.

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