SOLUTION: A student claims that if a price is now 220% more than it was before, then it is 320% of what it was before, and what it was before is 31.25% of what it is now. Do you agree? Expla

Question 150103: A student claims that if a price is now 220% more than it was before, then it is 320% of what it was before, and what it was before is 31.25% of what it is now. Do you agree? Explain your answer.

Im sorry, but i really don't get this question. =[
Answer by kev82(151) (Show Source): You can put this solution on YOUR website!
lets call the new price and the old price . Let's look at the statements one by one
if a price is now 220% more than it was before
Percentages are always over 100, so 220% is 220/100 = 2.2. That's of the old price though, so it is more than the old price. So the new price is 3.2 = 320/100 so the new price is 320% of the old price, yes.
and what it was before is 31.25% of what it is now
What is was before is , and what it is now is . To work out a percentage like this we divide the two things and times by 100. So what we need to do . But we know that from above, we substitute and get There is an on the top and bottom of this division, so it cancels to give 100/3.2 which is 31.25, so again the answer is yes.
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