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Variations・Form 4 maths

Percentage change

A standard method from Variations: the steps and worked examples.

Steps

Write each new value as a factor (+20% → 1.2), put the factors into the equation, and compare with 1. No need to find k.

Worked examples

Example 1: In example 1, x increases by 20% and z decreases by 10%. Find the percentage change in y.
new y = k(1.2x)² / (0.9z) = (1.44 / 0.9) × kx²/z = 1.6y
y increases by 60%

For the whole topic, read Variations: key points, common mistakes and how the DSE tests it.

Other methods in this topic