Module 1 · Arithmetic
Chapter 1: Percentages
Arithmetic
5 topics
🎯 1 practice questions
What this chapter covers
The 5 topics below make up Percentages on the CAT. Click any topic to open its notes, examples and practice test.
1Percentage Basics & Conversions
2Percentage Change
3Successive Percentage Change
4Reverse Percentage
5Percentage Applications
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Core conversions & change
| Percentage of a number | x% of N = (x/100) × N |
|---|---|
| Value as a percentage | (Part / Whole) × 100 % |
| Percentage change | (New − Old) / Old × 100 % |
| Increase by x% | N × (1 + x/100) |
| Decrease by x% | N × (1 − x/100) |
CAT power-tools
| Successive change a% then b% | net = a + b + ab/100 (%) |
|---|---|
| Reverse percentage | Original = Final / (1 ± x/100) |
| A is x% more than B | B is [x/(100+x)]×100 % less than A |
| A is x% less than B | B is [x/(100−x)]×100 % more than A |
| Product constant (price↑ p% ⇒ consumption↓) | [p/(100+p)]×100 % |
CAT reference
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