[Math] How to work out the percentage

arithmetic

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I'm not exactly sure how to do this. I know the answer is $£64,000$ but whatever I try, nothing is working.

i.e. $£80,000$ x $25%$ $= 2,000,000$ devided by $100$ $=$ $20,000$

$£80,000 – £20,000 = £60,000$

Best Answer

Recall that $25\% = \dfrac{25}{100} = 0.25$.

So we have some amount, $x$, that when increased by $25\%$ is equal to $80,000$.

Translating into math: $$x + 0.25 \times x = 80,000 \iff 1.25 x = 80,000 \iff x = \dfrac{80,000}{1.25} = 64000$$

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