Ratio & ProportionStudy Notes

Worked Example 2: Depreciation

Part of Compound InterestGCSE Mathematics

This study notes covers Worked Example 2: Depreciation within Compound Interest for GCSE Mathematics. Revise Compound Interest in Ratio & Proportion for GCSE Mathematics with 12 exam-style questions and 4 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 5 of 5 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 5 of 5

Practice

12 questions

Recall

4 flashcards

Worked Example 2: Depreciation

A car worth £12,000 depreciates by 15% per year. What is it worth after 3 years?

Step 1 Identify type and multiplier

Decay (depreciation), so multiplier = 1 - 0.15 = 0.85

Step 2 Calculate

y = 12000 × 0.85³ = 12000 × 0.614125 = £7369.50

Keep building this topic

Read this section alongside the surrounding pages in Compound Interest. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Compound Interest

Which formula correctly calculates the amount A after compound interest at rate r% per year for n years on principal P?

  • A. A = P × (1 + r/100) × n
  • B. A = P × (1 + r/100)^n
  • C. A = P + P × r/100 × n
  • D. A = P × r^n / 100
1 markfoundation

£2,000 is invested for 4 years. - Account A pays 5% simple interest per year. - Account B pays 4.5% compound interest per year. Which account gives more money after 4 years? Show all working.

3 marksstandard

Quick Recall Flashcards

Growth vs Decay
Growth: multiply by (1+r). Decay: multiply by (1-r). The multiplier is raised to the power of n (time periods).
Exponential Decay
N = N₀ × (1 - r)^t for decay rate r

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