📘 Ratio & Percentage Master Guide
14 Solved + 25 Practice Questions (Exam-Friendly)
Perfect for Banking, SSC, CAT, GMAT, GRE & UPSC Aptitude Prep
Prepared by: S ALEX JOSE
For Educational Use & Student Practice
,Quick Formula & Shortcut Sheet
🔹 Ratio Basics:
• a:b = a/b
• Multiply/divide both terms equally
• Total parts method for distributions
🔹 Key Percentages:
• 1/2 = 50%
• 1/3 ≈ 33%
• 1/4 = 25%
• 1/5 = 20%
• 1/10 = 10%
🔹 Successive % Changes:
• Increase x%, then y% → Net = (1 + x/100)(1 + y/100) − 1
🔹 Multipliers:
• 125% = 5/4, 150% = 3/2, 75% = 3/4
🔹 Exam Tricks:
• Assume 100 for % problems
• Cancel powers of 10 early
• Use fractions instead of decimals
, 📌 Document Highlights & Study Approach
This guide has been carefully prepared by **S ALEX JOSE** to help students build strong
skills in **Ratio and Percentage**, two of the most important topics in mathematics and
aptitude exams.
🔹 What You’ll Find Inside
- **Step-by-Step Solved Problems (14 in total):**
Each question is solved using three methods for maximum clarity:
1. **Direct Method (Exam Fast):** The quickest possible calculation to save time in exams.
2. **Explained Method (Short):** Stepwise reasoning to verify and check answers.
3. **Expanded Explained:** A detailed explanation with notes on common mistakes and
tips to avoid them.
- **25 Bank-Exam Style MCQs for Practice:**
A set of carefully selected multiple-choice questions to strengthen problem-solving skills.
An **answer key** is provided for self-checking and revision.
- **Balanced Coverage of Concepts:**
1. **Ratio Section** – Fundamentals, simplification methods, scaling with total parts, and
application problems.
2. **Percentage Section** – Definitions, key fraction-to-percentage anchors, successive
percentage changes, and exam shortcuts.
3. **Exam-Friendly Style** – All questions avoid unnecessary decimals, use fractions for
faster calculation, and apply safe rounding methods.
🔹 Why This Guide is Exam-Friendly
✔️ Focus on **clarity + speed** with fraction-based solutions.
✔️ **Rounding and simplification tricks** included to save exam time safely.
✔️ Suitable for **competitive exams** (Banking, SSC, CAT, GMAT, GRE, UPSC, and
placement tests).
✔️ Designed for **last-minute revision or daily practice**.
📌 **Note:** This material is for educational and practice use only.
14 Solved + 25 Practice Questions (Exam-Friendly)
Perfect for Banking, SSC, CAT, GMAT, GRE & UPSC Aptitude Prep
Prepared by: S ALEX JOSE
For Educational Use & Student Practice
,Quick Formula & Shortcut Sheet
🔹 Ratio Basics:
• a:b = a/b
• Multiply/divide both terms equally
• Total parts method for distributions
🔹 Key Percentages:
• 1/2 = 50%
• 1/3 ≈ 33%
• 1/4 = 25%
• 1/5 = 20%
• 1/10 = 10%
🔹 Successive % Changes:
• Increase x%, then y% → Net = (1 + x/100)(1 + y/100) − 1
🔹 Multipliers:
• 125% = 5/4, 150% = 3/2, 75% = 3/4
🔹 Exam Tricks:
• Assume 100 for % problems
• Cancel powers of 10 early
• Use fractions instead of decimals
, 📌 Document Highlights & Study Approach
This guide has been carefully prepared by **S ALEX JOSE** to help students build strong
skills in **Ratio and Percentage**, two of the most important topics in mathematics and
aptitude exams.
🔹 What You’ll Find Inside
- **Step-by-Step Solved Problems (14 in total):**
Each question is solved using three methods for maximum clarity:
1. **Direct Method (Exam Fast):** The quickest possible calculation to save time in exams.
2. **Explained Method (Short):** Stepwise reasoning to verify and check answers.
3. **Expanded Explained:** A detailed explanation with notes on common mistakes and
tips to avoid them.
- **25 Bank-Exam Style MCQs for Practice:**
A set of carefully selected multiple-choice questions to strengthen problem-solving skills.
An **answer key** is provided for self-checking and revision.
- **Balanced Coverage of Concepts:**
1. **Ratio Section** – Fundamentals, simplification methods, scaling with total parts, and
application problems.
2. **Percentage Section** – Definitions, key fraction-to-percentage anchors, successive
percentage changes, and exam shortcuts.
3. **Exam-Friendly Style** – All questions avoid unnecessary decimals, use fractions for
faster calculation, and apply safe rounding methods.
🔹 Why This Guide is Exam-Friendly
✔️ Focus on **clarity + speed** with fraction-based solutions.
✔️ **Rounding and simplification tricks** included to save exam time safely.
✔️ Suitable for **competitive exams** (Banking, SSC, CAT, GMAT, GRE, UPSC, and
placement tests).
✔️ Designed for **last-minute revision or daily practice**.
📌 **Note:** This material is for educational and practice use only.
