Question

A new car falls in value by 25% in a year. After a year, it's worth £ 9 600. Find the price of the car when it was new.

Answer 1

after a year, the car price dropped to £9600, already dropped by 25%, well, 100% - 25% is just 75%, therefore, £9600 is really just the 75% of the original price.

now, let's say "x" is the original price and therefor the 100%, what is it?


`\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 9600&75\\ x&100 \end{array}\implies \cfrac{9600}{x}=\cfrac{75}{100}\implies \cfrac{9600\cdot 100}{75}=x`