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 What is the ratio of the number of boys in School C, the number of girls in School B and the total number of students in School E?

### Concept & Logic A ratio compares quantities of identical units. We need to sequentially extract the exact values for the three requested groups and divide them by their greatest common divisor (GCD) to find the simplest form. ### Step-by-Step Solution * **Number of boys in School C:** Given directly in the bar chart as $900$. * **Number of girls in School B:** - Total students in B = $9\%$ of $6000 = 9 \times 60 = 540$. - Number of boys in B = $400$. - Number of girls in B = $540 - 400 = 140$. * **Total number of students in School E:** - $29\%$ of $6000 = 29 \times 60 = 1740$. * **Required Ratio:** - $900 : 140 : 1740$ - Cancel the common zero (divide by 10): $90 : 14 : 174$ - Divide by 2: $45 : 7 : 87$ ### Exam Strategy & Shortcut Once you get the sequence $900 : 140 : 1740$, check the options. The middle term $140$ simplifies to $14$, then $7$. Look for options with $7$ in the middle. This immediately eliminates (b) and (d). Dividing $174$ by $2$ gives $87$, leaving (c) as the only valid choice. ### Common Pitfall Misordering the terms of the ratio. Always build the ratio in the exact sequence requested by the question prompt: (Boys C) : (Girls B) : (Total E). ### Final Answer Therefore, the correct answer is **45 : 7 : 87**.