Directions: Study the following table carefully and answer the questions that follow: Number of Candidates (in lakhs) Appearing In an Entrance Examination From Six Different Cities | City | A | B | C | D | E | F | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | **Number of candidates** | 1.25 | 3.14 | 1.08 | 2.27 | 1.85 | 2.73 | Ratio of Candidates Passing And Failing Within the City | City | Ratio of Passing and Failing | | :--- | :--- | | **A** | 7 : 3 | | **B** | 5 : 3 | | **C** | 4 : 5 | | **D** | 1 : 3 | | **E** | 3 : 2 | | **F** | 7 : 5 | The number of candidates appearing for the exam from City $C$ is what per cent of the number of candidates appearing for the exam from City $B$ ? (rounded off to nearest integer)

### Concept & Strategy To find what percentage one value is of another, use the standard percentage formula: $\frac{\text{Value 1}}{\text{Value 2}} \times 100$. Since both values are in lakhs, the units cancel out directly. ### Step-by-Step Solution 1. **Identify the relevant data:** - Candidates appearing from City C = $1.08$ lakhs - Candidates appearing from City B = $3.14$ lakhs 2. **Set up the percentage equation:** - Required Percentage = $\frac{1.08}{3.14} \times 100$ 3. **Calculate the value:** - Required Percentage = $\frac{108}{314} \times 100$ - $\frac{108}{314} \approx 0.343949$ - Multiply by $100$: $34.3949\%$ 4. **Round to the nearest integer:** - Since the decimal part $.39$ is less than $.5$, we round down to $34\%$. ### Exam Strategy & Shortcut For a quick estimate, round the numbers: $1.08$ is close to $1$, and $3.14$ is close to $3$. The fraction $\frac{1}{3}$ is $33.33\%$. The exact fraction is $\frac{1.08}{3.14}$. Notice that $3.14 \times \frac{1}{3} \approx 1.047$, which is slightly less than $1.08$. This means our answer must be slightly greater than $33.33\%$. Looking at the options, $34\%$ is the only logical choice. ### Common Pitfall A frequent error is calculating the percentage in reverse (finding City B as a percentage of City C), which would yield $\frac{3.14}{1.08} \times 100 \approx 290\%$. Always pay attention to the phrasing "X is what per cent of Y", which translates to $\frac{X}{Y}$. ### Final Answer Therefore, the correct answer is **34 %**.