What is the difference between `20%` of P and `20%` of (P+5000)?

Options

A. 1500
B. 1200
C. 1000
D. 2000

Answer

To find the difference between `20%` of `P` and `20%` of `(P + 5000)`, we can follow these steps:

### Step 1: Calculate `20%` of `P`
To find `20%` of `P`, we can use the formula:
\[ 20\% \text{ of } P = \frac{20}{100} \times P = \frac{1}{5} P \]

### Step 2: Calculate `20%` of `(P + 5000)`
Next, we calculate `20%` of `(P + 5000)`:
\[ 20\% \text{ of } (P + 5000) = \frac{20}{100} \times (P + 5000) = \frac{1}{5} (P + 5000) \]
This can be expanded to:
\[ \frac{1}{5} P + \frac{1}{5} \times 5000 = \frac{1}{5} P + 1000 \]

### Step 3: Find the difference
Now, we need to find the difference between `20%` of `(P + 5000)` and `20%` of `P`:
\[ \text{Difference} = \left( \frac{1}{5} (P + 5000) \right) - \left( \frac{1}{5} P \right) \]
Substituting the values we calculated:
\[ \text{Difference} = \left( \frac{1}{5} P + 1000 \right) - \left( \frac{1}{5} P \right) \]

### Step 4: Simplify the expression
When we simplify this, we see that the `\frac{1}{5} P` terms cancel out:
\[ \text{Difference} = 1000 \]

### Final Answer
Thus, the difference between `20%` of `P` and `20%` of `(P + 5000)` is `1000`.

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