Master the Fraction Chart & Ratio Merging Tricks - The Foundation of All Quant Problems! Trusted by 50,000+ IBPS, SBI, SSC aspirants!
Percentage and Ratio are not just standalone chapters — they are the building blocks of almost every Quant topic. Without mastering these, you cannot solve Profit & Loss, SI/CI, Mixture & Alligation, Partnership, Data Interpretation, and more!
Think of Percentage as the language of Quantitative Aptitude. Every calculation, every shortcut, every trick ultimately uses percentage and ratio concepts.
In IBPS PO 2023, over 20 questions directly or indirectly used percentage/ratio concepts. The Fraction Method allowed toppers to solve problems 3x faster! That's 10+ minutes saved for the entire Quant section!
This is the alphabet of Quant. Memorize these fraction-to-percentage conversions — they appear in almost every problem!
For multiples, just multiply!
2/5 = 2 × 20% = 40%
3/8 = 3 × 12.5% = 37.5%
5/6 = 5 × 16.67% = 83.33%
This is one of the most powerful shortcuts in Percentage. It saves time when direct calculation is difficult.
Look at the question. Is one percentage easier to calculate than the other?
Use A% of B = B% of A. Swap the percentage and the base number.
Now solve the easier calculation. The answer is the same!
Question: Find 64% of 25.
Solution:
• 64% of 25 is hard to calculate directly
• Using Reversibility: 64% of 25 = 25% of 64
• 25% = 1/4, so 64 ÷ 4 = 16
✅ Answer: 16 (Solved in 2 seconds!)
Question: Find 37.5% of 48.
Solution:
• 37.5% of 48 = 48% of 37.5 (Not easier)
• Better approach: 37.5% = 3/8
• 48 × 3/8 = 48/8 × 3 = 6 × 3 = 18
✅ Answer: 18
Use this when Price × Consumption = Constant Expenditure. If one goes up, the other must come down!
Question: Price of sugar increases by 25%. By how much % should consumption reduce to keep expenditure same?
Solution using Fraction Method:
• 25% increase = +1/4
• To reduce: Keep numerator (1), add numerator to denominator (4+1)
• Reduction = 1/5
• 1/5 = 20%
✅ Answer: Reduce consumption by 20%
10% increase → 9.09% decrease (1/11)
20% increase → 16.67% decrease (1/6)
25% increase → 20% decrease (1/5)
50% increase → 33.33% decrease (1/3)
When a value changes multiple times successively, use this formula to find the net change:
Note: Use + for increase, - for decrease in X and Y values.
Question: A salary increases by 20%, then decreases by 10%. Find net change.
Solution:
• X = +20, Y = -10
• Net = 20 + (-10) + (20 × -10 / 100)
• Net = 10 - 2 = +8%
✅ Answer: 8% Net Increase
Question: Price increases by 20%, then decreases by 20%. Net change?
Solution:
• X = +20, Y = -20
• Net = 20 - 20 + (20 × -20 / 100)
• Net = 0 - 4 = -4%
✅ Answer: 4% Net Decrease (Always a loss!)
When you have two ratios with one common element, use the Plot Method (Kabza Method) to merge them:
Place both ratios in a table format with common element aligned.
Copy the neighbor's value to fill empty positions (shown in red below).
Multiply each column vertically to get the final merged ratio.
Question: If A:B = 2:3 and B:C = 4:5, find A:B:C.
| A | B | C |
|---|---|---|
| 2 | 3 | 3 |
| 4 | 4 | 5 |
| 2×4 = 8 | 3×4 = 12 | 3×5 = 15 |
✅ Answer: A:B:C = 8:12:15
Spend 10 minutes daily until 1/2 to 1/20 conversions become automatic. This is non-negotiable!
Before calculating, ask: "Can I flip this?" 64% of 25 → 25% of 64. Saves seconds every time!
20% up then 20% down ≠ 0%. It's always a net loss = (X/10)² %. Quick trap check!
When solving, assume base = 100. 20% increase on 100 = 120. Much easier than actual numbers!
Data Interpretation is 80% percentage calculation. Practice 10 DI sets to master percentage applications.
A% of B = B% of A
X + Y + (XY/100)
↑x/n → ↓x/(n+x)
Loss = (X/10)²%
Ab aapko Percentage & Ratio ki poori samajh aa gayi! Time to test your skills with real exam-level questions!
Start Practice Now →