lok yin 發問於 科學及數學數學 · 1 十年 前

F.3 Maths about percentage change!

Mr Ho bought a flat at the beginning of 2004 and sold it at $2300000 at the end of December 2004. Suppose the price of Mr Ho's flat dropped by 23% from Jan. to Oct. but increased at 6% every month from Nov. in 2004.

a. How much did Mr Ho pay for the flat, correct to the nearest ten thousand dollars?

b. Find the percentage change in the price of the flat within 2004, correct to 3 sig. fig.

Ans:

a. $2660000

b. -13.5%

1 個解答

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  • 1 十年 前
    最佳解答

    Mr Ho bought a flat at the beginning of 2004 and sold it at $2300000 at the end of December 2004. Suppose the price of Mr Ho's flat dropped by 23% from Jan. to Oct. but increased at 6% every month from Nov. in 2004.

    a. How much did Mr Ho pay for the flat, correct to the nearest ten thousand dollars?

    x(1 - 23%)(1 + 6%)^2 = 2300000

    x = 2658430.925... = 2660000

    b. Find the percentage change in the price of the flat within 2004, correct to 3 sig. fig

    (2300000 - 2660000) / 2660000 * 100%

    = -13.5%

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