Compound Percentage Change Worksheet
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Compound Percentage Change Worksheet
Multipliers
To increase by 10%, multiply by 1.1 (100% + 10% = 110% = 1.1)
To decrease by 10%, multiply by 0.9 (100% − 10% = 90% = 0.9)
For compound changes, multiply successive multipliers together. To find the overall % change: combined multiplier − 1, then convert to a percentage.
Apply successive percentage changes using multipliers. Multiply the original by each multiplier in turn. For an overall percentage change, find the combined multiplier, then subtract 1 and convert to a percentage.
Q1. A value increases by 10%, then increases by 10% again. Find the overall percentage change.
Q2. A value increases by 20%, then decreases by 20%. Find the overall percentage change.
Q3. A value increases by 50%, then decreases by 50%. Find the overall percentage change.
Q4. A value decreases by 10%, then decreases by 10% again. Find the overall percentage change.
Q5. A value increases by 25%, then decreases by 20%. Find the overall percentage change.
Q6. A value increases by 30%, then decreases by 15%. Find the overall percentage change.
Q7. A value increases by 40%, then decreases by 30%. Find the overall percentage change.
Q8. A value decreases by 5%, then increases by 5%. Find the overall percentage change.
Q9. A value increases by 15%, then increases by 20%. Find the overall percentage change.
Q10. A value decreases by 20%, then increases by 25%. Find the overall percentage change.
Q11. A price of £200 increases by 10% in year 1, then by 10% in year 2. Find the final price.
Q12. A car worth £12,000 depreciates by 15% in year 1, then by 10% in year 2. Find its value after 2 years.
Q13. A shop increases prices by 20%, then applies a 15% sale reduction. Find the overall percentage change.
Q14. A painting worth £5,000 increases in value by 8% per year for 2 years. Find its value after 2 years.
Q15. An investment of £1,000 grows by 5% in year 1, then by 3% in year 2. Find the final value.
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