Question

The price of a car decreases by 35% to £13000.

What was the car worth before the decrease?

Help

Answer 1

€20,000

Explanation:

% decrease = (original price of the car - new price) ÷ original price × 100

Let "x' represents the original price before the decrease.

New price = €13,000

% decrease = 35%

Plug in the values into the equation

`35 = (x - 13,000)/(x)*100`

`35 = (100x - 1,300,000)/(x)`

Multiply both sides by x

`35*x = (100x - 1,300,000)/(x)*x`

`35x = 100x - 1,300,000`

Subtract 100x from both sides

`35x - 100x = 100x - 1,300,000 - 100x`

`-65x = -1,300,000`

Divide both sides by -65

`(-65x)/(65) = (-1,300,000)/(65)`

`x = 20,000`

The car was worth €20,000 before the decrease.