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.

1 answer:

4 0

After a year, the car price dropped to £9600, already dropped by 25%, well, 100% - 25% is just 75%, therefore, <span>£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?

</span> $\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
9600&75\\
x&100
\end{array}\implies \cfrac{9600}{x}=\cfrac{75}{100}\implies \cfrac{9600\cdot 100}{75}=x$ <span>
</span>

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