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20 votes
20 votes
Daniel buys a new car.

In the first year, the value of the car decreases by 12% of its original value.

The value of the car at the end of the first year is £9680.

(a) Work out the original value of the car.

The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.

User Fernandezcuesta
by
2.7k points

1 Answer

11 votes
11 votes

Answer:

Explanation:

Value of the car at the end of the first year = £9680

Depreciation = 12 %

Original price = £ x

If we reduce 12% of original price from x, we will get £9680

x - 12% of x = £ 9680


x-(12)/(100)x=9680\\\\\\(88)/(100)x=9680\\\\x=9680*(100)/(88)\\\\x = 11000

Original price = £ 11000

User Alaster
by
3.2k points