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 sum of the number of girls in School C, the number of girls in School E and the number of boys in School D together ?
Aptitude
Statistics
Difficulty: Medium
Choose an option
-
A1700
-
B1900
-
C1600
-
D1800
-
ENone of these
Answer
Correct Answer: 1800
Explanation
### Concept & Formula
To find the number of girls in a school, we first calculate the total number of students in that school using its percentage share, and then subtract the given number of boys.
$$ \text{Number of Girls} = \text{Total Students in School} - \text{Number of Boys} $$
### Step-by-Step Solution
* **Total students in all schools:** 6000
* **Girls in School C:**
- Total students in C = $26\%$ of $6000 = 1560$
- Number of boys in C = $900$
- Number of girls in C = $1560 - 900 = 660$
* **Girls in School E:**
- Total students in E = $29\%$ of $6000 = 1740$
- Number of boys in E = $1200$
- Number of girls in E = $1740 - 1200 = 540$
* **Boys in School D:**
- Given as $600$
* **Required Sum:**
- Sum = (Girls in C) + (Girls in E) + (Boys in D)
- Sum = $660 + 540 + 600 = 1800$
### Exam Strategy & Shortcut
Instead of calculating $1\%$ of $6000$ every time, remember that $1\%$ is $60$.
Total C = $26 \times 60 = 1560$. Total E = $29 \times 60 = 1740$. This drastically speeds up total student calculations for any school.
### Common Pitfall
A frequent error is misreading the question and adding the total students of a school rather than specifically filtering out the girls, or accidentally adding girls for School D instead of boys.
### Final Answer
Therefore, the correct answer is **1800**.