Project ID:
3000000031
Question:
The price of a mobile phone increased by $50\%$ then decreased by $50\%$.
Gregg says the price of the mobile phone is now the same as the original price.
Is Gregg's answer correct? If not, determine the correct result.
Answer 1:
It is not correct. The new price is $75\%$ of the original price.
Answer 2:
Gregg's answer is correct. The percent change of the price is $50\%-50\%=0\%$.
Answer 3:
It is not correct. The new price is $25\%$ of the original price.
Answer 4:
It is not correct. The new price is $175\%$ of the original price.
Correct Answer:
Answer 1
Hint:
- Original price: $x$
- Price after $50\%$ increase $y:\ y=1.5x$
- Price after $50\%$ decrease $z:\ z=0.5y=0.5\cdot1.5x=0.75x$
The new price ($z$) is $75\%$ of the original price ($x$).