What is the difference between 40% of A and 40% of (A +7000).

Options

A. 1500
B. 1200
C. 2800
D. 2000

Explanation

To find the difference between 40% of A and 40% of (A + 7000), we can follow these steps:

### Step 1: Calculate 40% of A
To find 40% of A, we use the formula:
\[ \text{40% of A} = \frac{40}{100} \times A = \frac{2A}{5} \]

### Step 2: Calculate 40% of (A + 7000)
Next, we calculate 40% of (A + 7000):
\[ \text{40% of (A + 7000)} = \frac{40}{100} \times (A + 7000) = \frac{2(A + 7000)}{5} = \frac{2A}{5} + \frac{14000}{5} \]

### Step 3: Simplify 40% of (A + 7000)
Now, we simplify the expression:
\[ \text{40% of (A + 7000)} = \frac{2A}{5} + 2800 \]

### Step 4: Find the difference
Now, we find the difference between 40% of (A + 7000) and 40% of A:
\[ \text{Difference} = \left(\frac{2A}{5} + 2800\right) - \frac{2A}{5} \]

### Step 5: Simplify the difference
When we simplify the difference, we see that the \(\frac{2A}{5}\) terms cancel out:
\[ \text{Difference} = 2800 \]

### Final Answer
Thus, the difference between 40% of A and 40% of (A + 7000) is:
\[ \boxed{2800} \]