What the word says
By the hundred
The word per cent comes from the Latin per centum, meaning by the hundred.
📚 Chapter Learning Kit
Fractions in Disguise · Class 8 Mathematics · Ganita Prakash
English 3 topics 105 leveled MCQs 51 flashcards 5 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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Where the chapter gets its name
A fraction in disguise
A count of 25 in every 100 is just the fraction 25 over 100.
A percentage simplifies like any fraction
Reducing one
Twenty per cent is 20 over 100, which is 2 over 10, which is one fifth.
Who ate more sugar
Two percentages, two wholes
Madhu’s biscuits had 25% sugar and Madhav’s had 35%, so Madhav looks ahead.
A hundred grams each
Equal wholes settle it
On 100 grams each, Madhav really did eat more sugar.
A hundred and twenty against ninety-five
Unequal wholes open it again
Twenty-five per cent of 120 grams is 30 grams of sugar for Madhu.
📖 Smart notes
What you'll study, topic by topic
1
Per cent means out of a hundred
A percentage is nothing but a fraction whose denominator has been fixed at 100. Fixing the denominator is what makes two awkward fractions easy to compare at a glance.
- The word comes from per centum, meaning by the hundred.
- Twenty-five per cent means 25 out of every 100.
- A percentage is a fraction with 100 underneath.
~35 min · full explanation, examples & memory tricks in the app
2
A percentage of a quantity, and past a hundred
To find y per cent of a quantity, multiply the quantity by y over 100. Two percentages can only be compared directly when they are percentages of the same whole.
- A percentage of a quantity means y over 100 times that quantity.
- Two percentages compare only if the wholes behind them match.
- Twenty-five per cent of 120 is 30, and 35 per cent of 95 is 33.25.
~35 min · full explanation, examples & memory tricks in the app
3
Change, profit, and compounding
A percentage change is always measured against the original amount. Two changes applied one after the other compound, which is why they never add to the figure people expect.
- A percentage change divides the change by the ORIGINAL amount.
- A price moving from 30 to 42 has risen by 40 per cent.
- Being 165 per cent of a figure is the same as being 65 per cent more.
~40 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
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105 questions laddered from warm-up to topper-level, each with an explanation. A taste:
The symbol for per cent is read as a count out of a fixed number, and that number is
Beginner
A ten
B a hundred
C a thousand
D fifty
Show answer & explanation
a hundred
The word comes from the Latin per centum, by the hundred.
Saying that 25 per cent of a crowd wore hats is the same as saying that the number wearing hats was
Beginner
A 25 in every ten
B 25 in every thousand
C 25 in every hundred
D 25 in all
Show answer & explanation
25 in every hundred
A percentage is always a count out of a hundred.
A percentage is best described as a fraction in which one part has been fixed, namely
Beginner
A the numerator, at 100
B the denominator, at 100
C the denominator, at 10
D the numerator, at 1
Show answer & explanation
the denominator, at 100
That is exactly why the chapter calls percentages fractions in disguise.
A shopkeeper writes 20% on a sign, and a pupil rewrites it as a fraction in its simplest form, getting
Beginner
A one quarter
B two tenths
C one twentieth
D one fifth
Show answer & explanation
one fifth
Twenty over 100 reduces to 2 over 10, which is one fifth.
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