BANK EXAM SPEED MATHS – PAGE 7

🔹 Ratio & Proportion Tricks

Ratio and proportion are important topics in bank exams and are widely used in mixture, partnership, and data interpretation questions. Using shortcut techniques helps in solving them quickly and accurately.

✅ Trick 1: Simplify Ratio Quickly

Example: 48 : 60

• Divide both by 12
• 48 ÷ 12 = 4
• 60 ÷ 12 = 5

Answer = 4 : 5

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✅ Trick 2: Convert Ratio to Fraction

Example: Ratio 3 : 5

• Total parts = 3 + 5 = 8
• First part = 3/8
• Second part = 5/8

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✅ Trick 3: Proportion Shortcut

Concept: a : b = c : d → a × d = b × c

Example: 3 : 4 = 6 : x

• 3 × x = 4 × 6
• x = 24 ÷ 3 = 8

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✅ Trick 4: Direct Ratio Adjustment

Example: Income ratio = 2 : 3, total income = 5000

• Total parts = 5
• Value of 1 part = 5000 ÷ 5 = 1000
• Individual incomes = 2000 and 3000

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🔹 Practice Questions

1. Simplify 72 : 90
2. Divide 600 in ratio 2 : 4
3. 3 : 5 = x : 20, find x
4. Income ratio 4 : 6, total = 2000, find shares
5. Ratio 7 : 8, total parts = ?

🔹 Exam Tips

✔ Always simplify ratios to smallest form
✔ Convert ratios into fractions for faster solving
✔ Use cross multiplication in proportion questions
✔ Focus on total parts method in distribution problems

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