# Exam Style Question

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Question id: 249. This question is similar to one that appeared in a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

### Percentages

Windthrup bought a car for £9500 which depreciated by 6% in the first year and 3.5% in the second year.

a) Windthrup thinks that in two years his car depreciated by 9.5% over the two years. Show, with any necessary calculations, that Winthrup is wrong.

b) Windthrup's car depreciates by $$x%$$ during the third year. At the end of the three years the car is worth £8190. Find the value of $$x$$ to three significant figures.

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