Problem: The price of an article was increased p%. Later the new price was decreased p%. If the last price was one dollar, the original price was:
Answer Choices:
A. 2001−p2​
B. 1001−p2​​
C. one dollar
D. 1−10,000−p2p2​
E. 10,000−p210,000​
Solution:
Let the original price be P. Then P1​=(1+100p​)P.
​P2​=(1−100p​)P1​=(1−100p​)(1+100p​)P=1;∴P=1−(p2/1002)1​=10,000−p210,000​.​