1200 boys and 800 girls appeared in an examination. If 60% of the boys and 40% of the girls passed the examination, what is the percentage of candidates who failed in the examination?

Options

A. 42 %
B. 52 %
C. 48 %
D. 45 %

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Calculate the number of boys who passed the examination.
- Total boys = 1200
- Percentage of boys who passed = 60%
- Number of boys who passed = 60% of 1200 = \( \frac{60}{100} \times 1200 = 720 \)

### Step 2: Calculate the number of boys who failed the examination.
- Since 60% of boys passed, the percentage of boys who failed = 100% - 60% = 40%
- Number of boys who failed = 40% of 1200 = \( \frac{40}{100} \times 1200 = 480 \)

### Step 3: Calculate the number of girls who passed the examination.
- Total girls = 800
- Percentage of girls who passed = 40%
- Number of girls who passed = 40% of 800 = \( \frac{40}{100} \times 800 = 320 \)

### Step 4: Calculate the number of girls who failed the examination.
- Since 40% of girls passed, the percentage of girls who failed = 100% - 40% = 60%
- Number of girls who failed = 60% of 800 = \( \frac{60}{100} \times 800 = 480 \)

### Step 5: Calculate the total number of candidates who failed the examination.
- Total number of candidates who failed = Number of boys who failed + Number of girls who failed
- Total failed = 480 (boys) + 480 (girls) = 960

### Step 6: Calculate the total number of candidates who appeared for the examination.
- Total candidates = Total boys + Total girls = 1200 + 800 = 2000

### Step 7: Calculate the percentage of candidates who failed the examination.
- Percentage of candidates who failed = \( \frac{\text{Total failed}}{\text{Total candidates}} \times 100 \)
- Percentage of candidates who failed = \( \frac{960}{2000} \times 100 = 48\% \)

### Final Answer:
The percentage of candidates who failed in the examination is **48%**.

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