Directions: Study the table given below carefully and answer the questions that follow : Number of Athletes (In Hundred) Who Participated In a Sports Event From 5 Different Countries Over The Years M → Male & F → Female | Countries →
Years ↓ | A (M) | A (F) | B (M) | B (F) | C (M) | C (F) | D (M) | D (F) | E (M) | E (F) | | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | | **2005** | 4.4 | 3.3 | 6.3 | 4.2 | 4.5 | 3.1 | 5.6 | 4.1 | 4.7 | 2.1 | | **2006** | 6.6 | 4.2 | 8.4 | 6.2 | 6.9 | 3.3 | 8.4 | 6.3 | 7.8 | 5.2 | | **2007** | 4.6 | 1.8 | 7.4 | 4.8 | 4.8 | 2.8 | 9.3 | 7.3 | 8.7 | 6.5 | | **2008** | 9.6 | 4.9 | 11.4 | 8.4 | 6.6 | 4.2 | 12.6 | 9.4 | 8.9 | 5.8 | | **2009** | 11.8 | 6.4 | 10.6 | 5.2 | 7.9 | 6.3 | 14.4 | 10.2 | 11.8 | 9.2 | | **2010** | 8.2 | 5.2 | 6.4 | 7.2 | 10.8 | 6.9 | 15.6 | 12.1 | 13.6 | 9.8 | The number of female athletes who participated from Country E in the year 2009 was approximately what percentage of the total number of athletes who participated from Country B in the year 2008 ?

### Concept & Percentage Relationship To find what percentage one value ($X$) is of another value ($Y$), we use the formula: $$ \text{Percentage} = \left( \frac{X}{Y} \right) \times 100 $$ Here, $X$ is the female athletes from Country E in 2009, and $Y$ is the total athletes (Male + Female) from Country B in 2008. ### Step-by-Step Solution * Find the number of female athletes from Country E in 2009: Value $X = 9.2$ * Find the total number of athletes from Country B in 2008: Males = $11.4$, Females = $8.4$ Total $Y = 11.4 + 8.4 = 19.8$ * Apply the percentage formula: $$ \text{Required \%} = \left( \frac{9.2}{19.8} \right) \times 100 $$ * Simplify the fraction to remove decimal points: $$ \frac{92}{198} \times 100 $$ * Calculate the approximate value: Since $198$ is very close to $200$, you can approximate the denominator to $200$. $$ \frac{92}{200} \times 100 = \frac{92}{2} = 46\% $$ * The exact calculation is $46.46\%$, which safely rounds to the option $46\%$. ### Exam Strategy & Shortcut Whenever your denominator is extremely close to a round number (like $198$ to $200$), round it to save time during the exam. $\frac{92}{200}$ is straightforward mental math ($92 \div 2 = 46$). Since the denominator was slightly increased for approximation, the actual value is slightly higher than $46$, making $46\%$ the perfect closest answer. ### Common Pitfall A frequent error in "what percentage of..." questions is calculating relative to the wrong base or forgetting to sum the total participants (using only males or females for Country B instead of total). Always read carefully whether it asks for "male", "female", or "total" athletes. ### Final Answer Therefore, the correct answer is **46%**.