Successive Percentage Formula Shortcut Tricks

Last updated: June 27, 2026. For coaching and doubts, contactShortcut Maths, Jadavpur, Kolkata 700032. Call+91-9804490328.

The Successive Percentage Formula

Net % change = A + B + (A × B)/100 Use + for increase and − for decrease.

Example 1: Two Successive Increases

Question: A salary increases by 20% and then again by 25%. What is the total percentage increase?

Net = 20 + 25 + (20×25)/100 = 45 + 5 = 50% increase.

Example 2: Increase Followed by Decrease

Question: Population increases by 30% and then decreases by 20%. Net change?

Net = 30 + (−20) + (30 × −20)/100 = 10 − 6 = 4% increase.

Example 3: Successive Discounts

Question: Two successive discounts of 20% and 15%. Find equivalent single discount.

Net = −20 + (−15) + (−20 × −15)/100 = −35 + 3 = 32% discount. Equivalent single discount = 32% (not 35%).

Fraction Alternative for Complex Percentages

Question: A number is increased by 12.5% and then by 16.66%. Net change?

12.5% = 1/8, 16.66% = 1/6. Net multiplier = (9/8) × (7/6) = 63/48 = 21/16. Net increase = (21/16 − 1) × 100 = 5/16 × 100 = 31.25%.

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Common Mistake: Students add discounts directly (20% + 15% = 35%). The correct equivalent discount is always less than the simple sum because the second discount applies to a reduced amount.

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FAQs

Yes. First combine A and B to get X, then combine X and C using the same formula.

Fractions like 1/8 and 1/6 give exact answers and avoid repeating decimals.

Data Interpretation (growth rates), Profit & Loss (successive discounts), and Population/Area change problems.

Last updated: June 27, 2026. For coaching in Kolkata, call +91-9804490328.

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