Question

Hilary's house has a value of £180 000 correct to 2 significant figures.
a) (i) Write down the least possible value of the house. £
(1)
(ii) Write down the greatest possible value of the house. £
(1)
The value of Sue's house increased by 7%.
Her house then had a value of £219350
b) Work out the value of Sue's house before the increase.

Answer 1

The least and highest value of the house before being rounded are £184999 and £175000 respectively.

The initial value of Sue's house before the increase is £205,000

£180,000 correct to 2 significant figures :

The greatest value of the house would be a sum in which the third significant figure is a value less than 5 and the succeeding values are highest

• £184999

The least value of house would be a sum in which the third significant value is 5 and the succeeding values are lowest.

• £175000

2.)

Let the price before the increase = p

• Price after increase = £219350

7% of p = 219350

(1+7%) × p = 219350

1.07p = 219350

p = 219350 / 1.07

p = £205,000

Therefore, the price of the house before the increase is p = £205,000

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