0
0

Data Interpretation with Percentages

Introduction

Exams में Data Interpretation (DI) problems में अक्सर percentages का use करके tables, bar graphs या pie charts का analysis कराया जाता है।

ये questions आपकी ability को test करते हैं कि आप numbers को percentages में convert करके अलग-अलग categories compare कर सकते हैं या नहीं। Method समझ में आ जाए तो ये काफी आसान होते हैं।

Pattern: Data Interpretation with Percentages

Pattern

Percentage = (Part ÷ Whole) × 100

दो groups compare करने के लिए उनकी percentages निकालें और difference देखें।

DI table/chart में हमेशा total से शुरुआत करें और फिर parts में break करें।

Step-by-Step Example

Question

एक school में 500 students हैं, जिनमें से 200 girls हैं और 300 boys हैं। Find:
1. School में girls का percentage।
2. School में boys का percentage।

Solution

  1. Step 1: Whole (total students) पहचानें।

    Sentence: Total students = 500

  2. Step 2: Girls का percentage निकालें।

    Sentence: Girls = 200 out of 500.
    Math: (200 ÷ 500) × 100 = 40%

  3. Step 3: Boys का percentage निकालें।

    Sentence: Boys = 300 out of 500.
    Math: (300 ÷ 500) × 100 = 60%

  4. Step 4: Final Answer.

    Girls = 40%, Boys = 60%

  5. Step 5: Quick Check.

    40% + 60% = 100% ✅ (total match करता है)

Quick Variations

अगर question पूछे: “Boys, girls से कितने % अधिक हैं?” → Difference ÷ Girls × 100 = (100 ÷ 200) × 100 = 50% more.

अगर pie chart percentages देता है, तो total students को उस percentage से multiply करके actual number निकाला जाता है।

Trick to Always Use

  • Step 1: Total (whole) पहचानें।
  • Step 2: Part लिखें (girls, boys, marks आदि)।
  • Step 3: Formula apply करें: (Part ÷ Whole) × 100.
  • Step 4: Comparison के लिए difference ÷ base × 100 करें।
  • Step 5: Percentages का total 100% बन रहा है या नहीं, check करें।

Summary

Summary

Data Interpretation with Percentages pattern में यही simple formula use होता है:

Percentage = (Part ÷ Whole) × 100

  • Step 1: Total पहचानें।
  • Step 2: हर part का percentage निकालें।
  • Step 3: Comparison की जरूरत हो तो difference देखें।
  • Step 4: Total logically add होना चाहिए।

Practice से DI percentage questions बहुत जल्दी और accurately solve होने लगते हैं।

Practice

(1/5)
1. A class has 40 students. Out of them, 16 are girls. What percentage of the class are girls?
easy
A. 40%
B. 35%
C. 30%
D. 45%

Solution

  1. Step 1: Identify totals

    Total students = 40, Girls = 16.

  2. Step 2: Compute the percentage

    Percentage = (16 ÷ 40) × 100 = 40%.

  3. Final Answer:

    40% → Option A

  4. Quick Check:

    10% of 40 = 4 → 4 × 4 = 16 ✅
Hint: Compute (part ÷ whole) × 100.
Common Mistakes: Dividing whole by part instead of part by whole.
2. In a survey of 200 people, 80 said they prefer tea. What percentage of people prefer tea?
easy
A. 35%
B. 40%
C. 45%
D. 50%

Solution

  1. Step 1: Identify totals

    Total = 200, Tea lovers = 80.

  2. Step 2: Compute the percentage

    Percentage = (80 ÷ 200) × 100 = 40%.

  3. Final Answer:

    40% → Option B

  4. Quick Check:

    10% of 200 = 20 → 20 × 4 = 80 ✅
Hint: Divide part by whole, then ×100.
Common Mistakes: Omitting ×100 after getting the fraction.
3. In a company of 500 employees, 150 are women. What is the percentage of men?
easy
A. 65%
B. 68%
C. 70%
D. 72%

Solution

  1. Step 1: Compute counts

    Total = 500, Women = 150 → Men = 500 - 150 = 350.

  2. Step 2: Compute the percentage

    Percentage of men = (350 ÷ 500) × 100 = 70%.

  3. Final Answer:

    70% → Option C

  4. Quick Check:

    30% of 500 = 150 → Remaining = 70% ✅
Hint: Find the complement percentage: 100% - women%.
Common Mistakes: Using the count of women directly as percent without conversion.
4. A pie chart shows that 30% of school funds are spent on books. If total funds = ₹50,000, how much is spent on books?
medium
A. 12,000
B. 13,500
C. 14,000
D. 15,000

Solution

  1. Step 1: Identify percentage and total

    Total funds = ₹50,000, Books% = 30%.

  2. Step 2: Compute the amount

    Books expense = (30 ÷ 100) × 50,000 = 15,000.

  3. Final Answer:

    ₹15,000 → Option D

  4. Quick Check:

    10% of 50,000 = 5,000 → 3 × 5,000 = 15,000 ✅
Hint: Use (percentage ÷ 100) × total.
Common Mistakes: Taking percentage of wrong total.
5. In a school of 600 students, 240 play cricket, 180 play football, and the rest play neither. What % play neither?
medium
A. 30%
B. 25%
C. 20%
D. 35%

Solution

  1. Step 1: Sum participants

    Total = 600, Cricket = 240, Football = 180 → Total players = 240 + 180 = 420.

  2. Step 2: Compute neither count

    Neither = 600 - 420 = 180.

  3. Step 3: Compute percentage

    Percentage = (180 ÷ 600) × 100 = 30%.

  4. Final Answer:

    30% → Option A

  5. Quick Check:

    420 + 180 = 600 ✅
Hint: Subtract total participants from whole, then convert to %.
Common Mistakes: Forgetting to add both sport groups before subtracting.

Mock Test

Ready for a challenge?

Take a 10-minute AI-powered test with 10 questions (Easy-Medium-Hard mix) and get instant SWOT analysis of your performance!

10 Questions
5 Minutes