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If 1,500 is increased by 20% and then reduced by \(y\%,\) yielding 1,080, what is \(y ?\)

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Re: If 1,500 is increased by 20% and then reduced by \(y\%,\) yielding 1,080, what is \(y ?\)

by orthodoxparadox » Sat May 30, 2020 11:41 pm
When 1500 is increased by 20% it becomes \(\frac{120}{100}\ \cdot\ 1500\ =\ 1800\)

Now when 1800 is decreased by y% it becomes 1080.

So $$\frac{\left(100\ -\ y\right)}{100}\ \cdot\ 1800\ =\ 1080$$
\(\left(100\ -\ y\right)\ \cdot\ 18\ =\ 1080\) $$\left(100\ -\ y\right)=\ \frac{1080}{18}\ =\ 60$$ $$y\ =\ 40$$ C
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