Mathematics: The price for the certain item was decreased by 25% and then by 65%. by what percent was the price decreased?

5689Step-by-step explanation:...

The price for the certain item was decreased by

batmannn1516

16.03.2022

56.25%

Step-by-step explanation:

Let the price of item be x

It was decreased by 25%

So, Price after decrease of 25% = $x-25\% \times x$

= $x-\frac{25}{100}x$

= $\frac{75}{100}x$

Now It was decreased by 65%

So, Price after decrease of 65% = $\frac{75}{100}x-25\% \times (\frac{75}{100}x)$

= $(\frac{75}{100}x)-\frac{25}{100}(\frac{75}{100}x)$

= $\frac{9}{16}x$

So, new price = $\frac{9}{16}x$

The price decreased by percent = $\frac{\text{New price}}{\text{original price}} \times 100$

= $\frac{\frac{9}{16}x}{x} \times 100$

= $56.25\%$

Hence the price was decreased by 56.25%

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