Question

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

Answer 1

Answer:

€20,000

Step-by-step 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

$35 = \frac{x - 13,000}{x}*100$

$35 = \frac{100x - 1,300,000}{x}$

Multiply both sides by x

$35*x = \frac{100x - 1,300,000}{x}*x$

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

Subtract 100x from both sides

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

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

Divide both sides by -65

$\frac{-65x}{65} = \frac{-1,300,000}{65}$

$x = 20,000$

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