ROOTED IN SAHARANPUR. IMAGINING A BRIGHTER INDIA. ✦ 2026 • A journey of discovery
Maths • Classes 9–12

Twenty percent of what?

A percentage needs a base. Find it before trusting a headline.

About 12 minutes Read · try · explain
Take your time. Speak, draw or write your answers.
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01 / UNDERSTAND

Here is what is happening.

A percentage expresses a quantity per hundred of a stated base. A change from 40% to 50% is 10 percentage points. Relative to the starting 40%, the increase is 10/40 × 100 = 25%. These describe different comparisons.

Pause. Make the idea your own.

Explain one idea to a partner, draw it or write it in your own words. Which part is an observation, an example or a question?

You can use a home language. No need to share personal experiences or finish everything in one sitting.
02 / MAKE IT YOUR OWN

Your little investigation

What you need

Paper and the imaginary class counts below.

  1. In a class of 40, 16 students chose a book; later 20 did.

  2. Calculate each share and the percentage-point difference.

  3. Write a headline that states the numbers and the base clearly.

03 / CHECK YOUR UNDERSTANDING

Going from 40% to 50% is an increase of how many percentage points?

Choose one answer
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