Bank Exam Ratio, Proportion & Mixture – Page 6 (Big Set)

Concept + Shortcut Tricks + Step-by-Step Solutions

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🔷 Core Concepts

Ratio: a : b

Proportion: a : b = c : d

Ratio to %:

a / (a+b) × 100

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🔷 Basic Ratio Problems

Q1. Ratio 2:3

= 2/(2+3) ×100 = 40%

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Q2. Ratio 3:2

= 60%

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Q3. Ratio 4:1

= 80%

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Q4. Ratio 1:4

= 20%

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Q5. Ratio 5:5

= 50%

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🔷 Proportion Problems

Q6. 2:3 = x:12

Cross multiply:

2×12 = 3x

x = 8

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Q7. 4:5 = x:20

x = 16

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Q8. 3:7 = 9:x

x = 21

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Q9. 5:8 = x:40

x = 25

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Q10. 6:9 = x:18

x = 12

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🔷 Mixture (Alligation Method)

Rule:

Difference cross method

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Q11. Mix 20% and 40% to get 30%

40 − 30 = 10

30 − 20 = 10

Ratio = 1:1

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Q12. Mix 10% and 30% to get 20%

30−20 = 10

20−10 = 10

Ratio = 1:1

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Q13. Mix 30% and 50% to get 40%

50−40 = 10

40−30 = 10

Ratio = 1:1

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Q14. Mix 20% and 50% to get 30%

50−30 = 20

30−20 = 10

Ratio = 1:2

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Q15. Mix 40% and 70% to get 50%

70−50 = 20

50−40 = 10

Ratio = 1:2

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🔷 Advanced Ratio

Q16. A:B = 2:3, total = 100

A = 40, B = 60

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Q17. A:B:C = 2:3:5, total = 200

Total parts = 10

A = 40, B = 60, C = 100

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Q18. Income ratio 3:4, difference = 100

1 part = 100

Total = 7 parts = 700

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Q19. Age ratio 2:3, after 5 years

Use difference method

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Q20. A:B = 4:5, B:C = 2:3

Make B same → 8:10 and 10:15

A:B:C = 8:10:15

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🔥 Topper Tricks

• Always convert ratio to total parts
• Use cross multiplication
• Apply alligation for mixture
• Make common term equal

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Final Tip

Convert → Compare → Apply → Solve Fast