General Aptitude

Ratio & Proportion Tutorial

Ratio and proportion questions test your ability to handle relationships between quantities. These patterns cover all major question types.

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Key Formulas

Basic Ratio Concepts

Open

Understand and solve basic ratio problems.

Dividing in Given Ratio

Open

Divide amount in given ratio.

Compound Ratio & Proportion

Open

Solve problems with multiple ratios.

Basic Ratio Concepts

Understand and solve basic ratio problems.

When to Use: When quantities are in ratio and total/difference given.

Step-by-Step Method

  1. Let values be ratio × x (e.g., a:b = 3:5 means values are 3x and 5x).
  2. Use given total or difference to find x.
  3. Find actual values by multiplying.

Worked Example

Question: Two numbers are in ratio 3:5 and their sum is 64. Find numbers.

  1. Let numbers = 3x and 5x
  2. 3x + 5x = 64 → 8x = 64
  3. x = 8
  4. Numbers: 3×8 = 24, 5×8 = 40

Final Answer: 24 and 40

Option Analysis

Common Mistakes

Quick Shortcut: Sum = (a+b)×x. Difference = |a-b|×x. Use these to find x.

Practice This Pattern

5 Q 10 Q 15 Q

Generated 5 focused questions for this pattern.

Q1. Two values are in ratio 2:5. If total is 100, find first value.

  • 34
  • 25
  • 31
  • 28

Answer: 28

Explanation: Step 1: Total parts = 2+5. Step 2: One part = 100/(7). Step 3: First value = 2 parts = 28.

Q2. Two values are in ratio 3:4. If total is 100, find first value.

  • 48
  • 39
  • 45
  • 42

Answer: 42

Explanation: Step 1: Total parts = 3+4. Step 2: One part = 100/(7). Step 3: First value = 3 parts = 42.

Q3. Two values are in ratio 5:3. If total is 90, find first value.

  • 59
  • 56
  • 62
  • 53

Answer: 56

Explanation: Step 1: Total parts = 5+3. Step 2: One part = 90/(8). Step 3: First value = 5 parts = 56.

Q4. Two values are in ratio 3:2. If total is 130, find first value.

  • 78
  • 75
  • 84
  • 81

Answer: 78

Explanation: Step 1: Total parts = 3+2. Step 2: One part = 130/(5). Step 3: First value = 3 parts = 78.

Q5. Two values are in ratio 5:3. If total is 200, find first value.

  • 125
  • 128
  • 122
  • 131

Answer: 125

Explanation: Step 1: Total parts = 5+3. Step 2: One part = 200/(8). Step 3: First value = 5 parts = 125.