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Pie Chart Interpretation

Introduction

Pie Chart Interpretation आपकी ability test करता है कि आप पूरे data के हिस्सों को sectors (percentages या angles) के रूप में पढ़कर समझ सकते हैं या नहीं। Reports और summaries में pie charts बहुत use होते हैं, इसलिए यह pattern exams में frequently पूछा जाता है।

आमतौर पर questions में किसी sector का value निकालना, दो sectors को compare करना, missing percentage ढूँढना या angles ↔ percentages convert करना शामिल होता है।

Pattern: Pie Chart Interpretation

Pattern

मुख्य concept: Pie पूरा (whole) data दिखाता है - यानी 100% या 360°। जरूरत के हिसाब से value, percentage या angle में conversion करें।

Value = (Given % × Total) ÷ 100
Angle (°) = (Given % × 360) ÷ 100
% = (Angle ÷ 360) × 100

Step-by-Step Example

Question

नीचे दिए गए pie chart में एक project का department-wise budget distribution दिखाया गया है। Total budget = ₹240,000। Shares: Marketing = 25%, R&D = 35%, Operations = 20%, Miscellaneous = 20%। Find: R&D को allocate किया गया amount।

Solution

  1. Step 1: Given percentage और total budget पहचानें

    R&D share = 35% of ₹240,000

  2. Step 2: Value formula apply करें

    Value = (35 × ₹240,000) ÷ 100 = ₹84,000

  3. Final Answer:

    ₹84,000

  4. Quick Check:

    Sector values का sum: 60,000 + 84,000 + 48,000 + 48,000 = ₹240,000 → Total match करता है ✔️

Quick Variations

1. Angle दिया हो → percentage में बदलें: % = (angle ÷ 360) × 100

2. Missing sector निकालने के लिए known percentages को 100% से subtract करें।

3. Mixed charts (pie + table) में pie के % को table के total से multiply करके values निकालें।

4. Reverse questions: value दिया हो → % या angle निकालें।

Trick to Always Use

  • Step 1: Check करें कि सभी sectors मिलकर 100% (या 360°) बनते हों।
  • Step 2: Value निकालने से पहले angle ↔ % conversion कर लें।
  • Step 3: Formula use करें: Value = (Given % × Total) ÷ 100 - rounding हमेशा end में करें।

Summary

Summary

  • पहले यह पहचानें कि data angles में दिया है, percentages में या actual values में।
  • Angles और percentages को convert करने के बाद ही value calculate करें।
  • Pie chart हमेशा पूरे को दर्शाता है → 100% या 360°।
  • Final check के लिए values का sum total से match करना चाहिए।

याद रखने लायक formula:
“Percent → value: (Given % × Total) ÷ 100; Angle → percent: (Angle ÷ 360) × 100.”

Practice

(1/5)
1.

The pie chart below shows the expenditure distribution (in %) of a company. If the total expenditure is ₹8,00,000, find the amount spent on Marketing.

Segments: Marketing = 25%, Operations = 20%, Salaries = 35%, Miscellaneous = 20%.

easy
A. ₹2,00,000
B. ₹1,60,000
C. ₹2,80,000
D. ₹1,40,000

Solution

  1. Step 1: Identify total and required percentage

    Total expenditure = ₹8,00,000; Marketing share = 25%.

  2. Step 2: Compute the amount for Marketing

    Amount = (25 × 8,00,000) ÷ 100 = ₹2,00,000.

  3. Final Answer:

    → Option A

  4. Quick Check:

    25% of 8,00,000 = 2,00,000 ✅

Hint: Multiply total by (percentage ÷ 100).
Common Mistakes: Forgetting to divide by 100 after multiplying by percent.
2.

The pie chart shows allocation of annual income of a person. Total annual income = ₹6,00,000. What is the amount saved?

Segments: Rent = 30%, Food = 25%, Savings = 15%, Others = 30%.

easy
A. ₹80,000
B. ₹85,000
C. ₹1,00,000
D. ₹90,000

Solution

  1. Step 1: Identify total income and savings %

    Total annual income = ₹6,00,000; Savings = 15%.

  2. Step 2: Compute savings amount

    Amount saved = (15 × 6,00,000) ÷ 100 = ₹90,000.

  3. Final Answer:

    → Option D

  4. Quick Check:

    0.15 × 6,00,000 = 90,000 ✅

Hint: Compute percentage of the total directly.
Common Mistakes: Mixing up percentages or units.
3.

The pie chart below shows the percentage of students choosing different sports in a school. If 720 students were surveyed, how many preferred Football?

Segments: Cricket = 30%, Football = 20%, Basketball = 15%, Others = 35%.

easy
A. 120
B. 144
C. 150
D. 160

Solution

  1. Step 1: Identify total surveyed and Football %

    Total surveyed = 720 students; Football share = 20%.

  2. Step 2: Compute number of students preferring Football

    Number = (20 × 720) ÷ 100 = 144 students.

  3. Final Answer:

    → Option B

  4. Quick Check:

    0.20 × 720 = 144 ✅

Hint: Multiply total by (percentage ÷ 100).
Common Mistakes: Rounding prematurely or misreading percentage.
4.

The pie chart below shows the distribution of total sales (in %) among five products. Total sales = ₹12,00,000. Find the total sales of Products A and B.

Segments: A = 20%, B = 25%, C = 15%, D = 15%, E = 25%.

medium
A. ₹4,00,000
B. ₹5,00,000
C. ₹5,40,000
D. ₹4,80,000

Solution

  1. Step 1: Identify totals and combined percentage

    Total sales = ₹12,00,000; A = 20%, B = 25% → combined = 45%.

  2. Step 2: Compute combined amount for A and B

    Amount = (45 × 12,00,000) ÷ 100 = ₹5,40,000.

  3. Final Answer:

    → Option C

  4. Quick Check:

    0.45 × 12,00,000 = 5,40,000 ✅

Hint: Add required percentages first, then apply to total.
Common Mistakes: Rounding to nearest option before computing actual value.
5.

The pie chart shows the population (in %) of a city divided among different areas. If the total population is 9,00,000, what is the difference between populations of East (35%) and West (20%)?

medium
A. 1,20,000
B. 1,35,000
C. 1,40,000
D. 1,25,000

Solution

  1. Step 1: Find percent difference

    Difference = East (35%) - West (20%) = 15%.

  2. Step 2: Apply percentage to total population

    Difference = (15 × 9,00,000) ÷ 100 = 1,35,000 people.

  3. Final Answer:

    1,35,000 people → Option B

  4. Quick Check:

    0.15 × 9,00,000 = 1,35,000 → matches calculation ✅

Hint: Compute percent difference first, then multiply by the total population.
Common Mistakes: Using currency symbols for population; rounding or mixing up regions.

Mock Test

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