Study the given pie charts carefully to answer the questions that follows
Question: 1
The total number of students who got placed from all the specialization together was what percentage of total number of students pursuing specialization in operations, marketing and finance collectively?
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To save time during calculations, try to simplify the fraction before multiplying by 100. For instance, \(\frac{1200}{2628}\) can be simplified by dividing both by 12, resulting in \(\frac{100}{219}\), which is easier to estimate.
Step 1: Understanding the Concept:
The objective is to find the ratio of the total number of placed students (across all specializations) to the sum of students studying specifically in Operations, Marketing, and Finance, expressed as a percentage. Step 2: Key Formula or Approach:
\[ \text{Percentage} = \left( \frac{\text{Total Placed Students}}{\text{Total Students in (Ops + Mkt + Fin)}} \right) \times 100 \] Step 3: Detailed Explanation:
1. Total number of students placed from all specializations combined = \(1200\) (Given).
2. Total percentage of students pursuing Operations, Marketing, and Finance from the "Studying" pie chart:
\[ \text{Total % Studying} = 35% (\text{Ops}) + 18% (\text{Mkt}) + 20% (\text{Fin}) = 73% \]
3. Calculate the absolute number of students pursuing these three specializations:
\[ \text{Number of students} = 73% \text{ of } 3600 = \frac{73}{100} \times 3600 = 73 \times 36 = 2628 \text{ students.} \]
4. Now, find the required percentage:
\[ \text{Required %} = \left( \frac{1200}{2628} \right) \times 100 \]
\[ \text{Required %} \approx 45.6621...% \]
Rounding to two decimal places, we get \(45.66%\). Step 4: Final Answer:
The total placed students represent approximately \(45.66%\) of the students in the specified combined specializations.
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Question: 2
The number of students who got placed from the HR specialization was what percent of the total number of students studying in that specialization?
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Observe that the total studying population (\(3600\)) is exactly \(3\) times the total placed population (\(1200\)). You can use this ratio directly: \( \text{Rate} = \frac{11% \times 1200}{12% \times 3600} = \frac{11}{12 \times 3} = \frac{11}{36} \). This avoids large number multiplication.
Step 1: Understanding the Concept:
We need to calculate the internal placement rate for the HR specialization by comparing the number of HR students placed to the total number of HR students studying. Step 2: Key Formula or Approach:
\[ \text{Placement Rate (HR)} = \left( \frac{\text{Students Placed in HR}}{\text{Students Studying HR}} \right) \times 100 \] Step 3: Detailed Explanation:
1. Find the number of students who got placed from HR (from the Placed chart):
\[ \text{Placed (HR)} = 11% \text{ of } 1200 = 0.11 \times 1200 = 132 \text{ students.} \]
2. Find the total number of students studying HR (from the Studying chart):
\[ \text{Studying (HR)} = 12% \text{ of } 3600 = 0.12 \times 3600 = 432 \text{ students.} \]
3. Calculate the percentage:
\[ \text{Required %} = \left( \frac{132}{432} \right) \times 100 \]
\[ \text{Required %} = \frac{11}{36} \times 100 \approx 30.555...% \]
Rounding this gives \(30.56%\). Step 4: Final Answer:
The percentage of HR students who got placed is \(30.56%\).
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Question: 3
What is the difference between the total number of students pursuing specialization in Business Analytics and HR combined and the number of student who got placed from marketing specialization and finance specialization combined?
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Be careful to match the specialization to the correct chart. Marketing and Finance refer to the "placed" category here, while BA and HR refer to the "studying" category.
Step 1: Understanding the Concept:
This question involves finding totals from two different data sets (one for 'Studying' and one for 'Placed') and calculating the absolute difference between them. Step 2: Detailed Explanation:
1. Calculate students studying BA and HR:
Combined percentage = \(15% (\text{BA}) + 12% (\text{HR}) = 27%\).
Number of students = \(27% \text{ of } 3600 = 0.27 \times 3600 = 972 \).
2. Calculate students placed from Marketing and Finance:
Combined percentage = \(22% (\text{Mkt}) + 8% (\text{Fin}) = 30%\).
Number of students = \(30% \text{ of } 1200 = 0.30 \times 1200 = 360 \).
3. Calculate the difference:
Difference = \(972 - 360 = 612 \). Step 4: Final Answer:
The difference is \(612\).
