A shop has 500 shirts, out of which 15 are defective. What percentage of shirts are defective ?

Answer

To find the percentage of defective shirts, we can follow these steps:

### Step 1: Identify the total number of shirts and the number of defective shirts.
- Total shirts = 500
- Defective shirts = 15

### Step 2: Use the formula for percentage.
The formula to calculate the percentage of defective shirts is:
\[ \text{Percentage of defective shirts} = \left(\frac{\text{Number of defective shirts}}{\text{Total number of shirts}}\right) \times 100 \]

### Step 3: Substitute the values into the formula.
Substituting the values we have:
\[ \text{Percentage of defective shirts} = \left(\frac{15}{500}\right) \times 100 \]

### Step 4: Simplify the fraction.
First, we can simplify the fraction \(\frac{15}{500}\):
\[ \frac{15}{500} = \frac{3}{100} \quad \text{(by dividing both numerator and denominator by 5)} \]

### Step 5: Calculate the percentage.
Now, substituting back into the percentage formula:
\[ \text{Percentage of defective shirts} = \left(\frac{3}{100}\right) \times 100 = 3 \]

### Final Answer:
Thus, the percentage of defective shirts is **3%**.

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