CAT Quant · Chapter Test
Percentages — 25-Question Test
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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) |
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| 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 % |
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