Directions: Study the following pie-chart and bar diagram and answer the following questions Percentage-wise Distribution of students in 6 Different Schools. Total number of students = 6000. Number of Boys in Each School Out of 6000 Students The number of girls in School A is approximately what percentage of the total number of students in School B ?

### Concept & Formula To find what percentage one value ($X$) is of another value ($Y$), we use the formula: $$ \text{Percentage} = \left( \frac{X}{Y} \right) \times 100 $$ ### Step-by-Step Solution * **Find Value X (Girls in School A):** - Total students in A = $12\%$ of $6000 = 12 \times 60 = 720$. - Number of boys in A = $500$. - Number of girls in A = $720 - 500 = 220$. * **Find Value Y (Total students in School B):** - Total students in B = $9\%$ of $6000 = 9 \times 60 = 540$. * **Calculate Percentage:** - $\text{Required } \% = \left( \frac{220}{540} \right) \times 100$ - $= \left( \frac{22}{54} \right) \times 100$ - $= \left( \frac{11}{27} \right) \times 100 \approx 40.74\%$ * The question asks for the approximate percentage. Looking at the options (55, 50, 35, 45, 40), the closest value is 40. ### Exam Strategy & Shortcut To quickly estimate $\frac{220}{540}$, notice that $10\%$ of $540$ is $54$. Multiply $54$ by $4$ to get $40\%$: $54 \times 4 = 216$. Since $220$ is very close to $216$, the answer is roughly $40\%$. No long division is necessary. ### Common Pitfall Setting up the percentage fraction backwards (e.g., dividing total students in B by girls in A). The phrase "is what percentage of [Value Y]" implies [Value Y] is the denominator. ### Final Answer Therefore, the correct answer is **40**.