Mr Lee bought a flat at the beginning of 2008 and sold it at $3200000 at the end of December 2008. Suppose the price of the flat dropped by 35% from January to October and then increased at 10% per month from November in 2008.
(a) Find the amount that Mr Lee paid for the flat, correct to the nearest ten thousand dollars.
(b) Find the percentage change in the price of the flat in the year of 2008, correct to 2 significant figures.
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F.3 maths question
2013-11-19 6:04 am
回答 (1)
2013-11-19 6:11 am
✔ 最佳答案
a.Let $x be the amount Mr Lee paid for the flat,
x (1 - 0.35)(1.1)^2 = 3200000
x (0.65)(1.21) = 3200000
0.7865 x = 3200000
x = 4070000, correct to the nearest ten thousand dollars
Therefore, the amount paid by Mr Lee for the flat is $4070000
b.
Percentage change in flat price:
(3200000 - 4070000) / 4070000 = - 21%, correct to 2 sig. fig.
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