Percentage
🔒 Log in to trackThe language of the whole arithmetic section — profit-loss, interest, discount and DI are all percentage questions in disguise. Tier 1 asks 1–2 direct questions per shift (successive change, more/less flips, election and population problems) and Tier 2 leans on it heavily.
One page per subtopic: detailed notes, every question type, formulas, tricks and practice sets.
Every formula on one printable page, grouped by subtopic.
5 exam-level questions worked step by step.
66 questions — untimed practice or a timed test with analysis.
Track record in the exam
Questions per shift in recent SSC CGL papers.
Test difficulty mix (66 questions)
Question patterns exams keep repeating
Taken from previous-year papers. If a pattern is marked "very common", expect to see it in your exam.
Find a % of a number
very common"What is 35% of 480?"
Find 10% first (move the dot one place left).
Build your % from pieces of 10% and 5%.
What is 35% of 480?
10% of 480 = 48
5% = half of 48 = 24
35% = 48 + 48 + 48 + 24 = 168
Goes up by some %, then down
very commonA price or number rises, then falls (or the reverse). Asks the final change.
Start with 100.
Apply the changes one at a time.
Price rises 20%, then falls 20%. Net change?
Start: 100
Up 20% → 120
Down 20% of 120 (that is 24) → 96
100 became 96, so 4% less
"A is more than B" — so B is less than A
very common"A is 20% more than B. B is what % less than A?"
Start with B = 100 and find A.
Compare the gap with A (the bigger one), not B.
A is 20% more than B. B is how much % less than A?
B = 100, so A = 120
Gap = 20
Gap out of A: 20 ÷ 120 = 16⅔% less
Population growing or falling
commonPopulation changes by some % each year. Find the number after 2–3 years.
Do one year at a time.
Never add the % of different years.
Population 40,000. Up 10% in year 1, down 5% in year 2. Final?
Year 1: 10% of 40,000 = 4,000 → 44,000
Year 2: 5% of 44,000 = 2,200 → 44,000 − 2,200 = 41,800
Election votes
commonSome votes are invalid. Winner's % and winning margin are given.
Use only the valid votes.
The winner's lead = gap between the two % × valid votes.
20% of votes are invalid. Winner gets 60% of valid votes and wins by 1,200. Total votes?
Winner 60%, loser 40% → lead = 20% of valid votes
20% of valid = 1,200 → valid = 6,000
Valid is 80% of total → total = 6,000 ÷ 80 × 100 = 7,500
Pass marks
commonOne student fails by some marks, another passes with extra. Find full marks.
The % gap between the two scores = the marks gap between them.
33% fails by 45 marks. 45% gets 15 above pass marks. Full marks?
33% → 45% is a gap of 12%
Marks gap = 45 + 15 = 60
12% of full marks = 60 → full marks = 60 ÷ 12 × 100 = 500
Price changes, so you buy more or less
common"Price falls 20%, now you can buy 5 kg more for the same money."
Work out how much money the price cut saves.
That saved money buys the extra kg.
After a 20% price cut, ₹400 buys 5 kg more. Old price per kg?
Cut saves 20% of 400 = ₹80
₹80 buys 5 kg → new price = 80 ÷ 5 = ₹16
₹16 is 80% of old price → old = 16 ÷ 80 × 100 = ₹20
Income, spending and savings
occasionalIncome and spending both rise. Asks how much savings change.
Start with income = 100.
Find new spending, then new savings.
Spends 80% of income. Income +15%, spending +10%. Savings up by what %?
Income 100, spends 80, saves 20
New income 115, new spending 88, saves 27
Savings rose 7 on 20 → 35%