Mr Lim is a member of the shop. He paid $3115.20 for 3 laptops.

  1. (a)

    What was the price of a laptop before discount?

    Ans : (a) ___

  2. (b)

    Mrs Muthu is not a member of the shop and she bought 1 laptop.
    How much did she pay?

    (b) ___

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Worked solution

10(b)

1. Find the price of a laptop before discount (from part a)

Let the original price of a laptop be xx.
For a member buying 3 laptops:
1st laptop: 0.9x0.9x
2nd laptop: 0.75x0.75x
3rd laptop: 0.75x0.75x
Total paid = 0.9x+0.75x+0.75x=2.4x0.9x + 0.75x + 0.75x = 2.4x
2.4x=3115.202.4x = 3115.20
x=3115.202.4=1300x = \frac{3115.20}{2.4} = 1300

2. Calculate the price paid by a non-member for 1 laptop

Non-member discount is 5%.
Price paid = 1300×(1−0.05)=1300×0.95=12351300 \times (1 - 0.05) = 1300 \times 0.95 = 1235

Answer

$1235

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