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Mathematics · Grades 7–10

Successive percentage changes

Apply each percentage to the value at that stage.

Make a worksheet

The key idea

Apply each percentage to the value at that stage.

final = initial × (1 + p/100) × (1 − q/100)

Worked examples

A quantity starts at 7400, increases by 20%, then decreases by 10%. Find the final quantity.

7400 × 1.2 × 0.9 = 7992

7992

A quantity starts at 1300, increases by 10%, then decreases by 20%. Find the final quantity.

1300 × 1.1 × 0.8 = 1144

1144

Try it yourself

  1. A quantity starts at 6000, increases by 20%, then decreases by 10%. Find the final quantity.

  2. A quantity starts at 6600, increases by 50%, then decreases by 10%. Find the final quantity.

Check your understanding

Answers and marking notes
  1. 6480

    6000 × 1.2 × 0.9 = 6480

  2. 8910

    6600 × 1.5 × 0.9 = 8910

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.