Answer:
56.25%
Step-by-step explanation:
Let the price of item be x
It was decreased by 25%
So, Price after decrease of 25% = [tex]x-25\% \times x[/tex]
= [tex]x-\frac{25}{100}x[/tex]
= [tex]\frac{75}{100}x[/tex]
Now It was decreased by 65%
So, Price after decrease of 65% = [tex]\frac{75}{100}x-25\% \times (\frac{75}{100}x)[/tex]
= [tex](\frac{75}{100}x)-\frac{25}{100}(\frac{75}{100}x)[/tex]
= [tex]\frac{9}{16}x[/tex]
So, new price = [tex]\frac{9}{16}x[/tex]
The price decreased by percent = [tex]\frac{\text{New price}}{\text{original price}} \times 100[/tex]
= [tex]\frac{\frac{9}{16}x}{x} \times 100[/tex]
= [tex]56.25\%[/tex]
Hence the price was decreased by 56.25%
