500 is first decreased by 20% and then it is decreased by 25%. What is the final value?

Options

A. 350
B. 450
C. 300
D. 400

Answer

To solve the problem step by step, we will first calculate the value after the initial decrease of 20%, and then we will calculate the value after the subsequent decrease of 25%.

### Step 1: Calculate the first decrease of 20% on 500.

1. **Find 20% of 500:**
\[ 20\% \text{ of } 500 = \frac{20}{100} \times 500 = 100 \]

2. **Subtract this value from 500:**
\[ 500 - 100 = 400 \]

### Step 2: Calculate the second decrease of 25% on the new value (400).

1. **Find 25% of 400:**
\[ 25\% \text{ of } 400 = \frac{25}{100} \times 400 = 100 \]

2. **Subtract this value from 400:**
\[ 400 - 100 = 300 \]

### Final Value:
The final value after both decreases is **300**.

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