INTRODUCING 5 - days-a-week problem solving session for Math Olympiad and ISI Entrance. Learn More 

March 29, 2020

Problem related to Money | AMC 8, 2002 | Problem 25

Try this beautiful problem from AMC-8, 2002 related to money (problem 25).

Loki, Moe, Nick and Ott are good friends. Ott had no money, but the others did. Moe gave Ott one-fifth of his money, Loki gave Ott one-fourth of his money and Nick gave Ott one-third of his money. Each gave Ott the same amount of money. What fractional part of the group's money does Ott now have?

  • \(\frac{1}{3}\)
  • \(\frac{1}{4}\)
  • \(\frac{3}{4}\)

Key Concepts


Number theory


Check the Answer


AMC-8 (2002) Problem 25

Challenges and Thrills in Pre College Mathematics

Try with Hints

Each Friend gave Ott the equal amount of money

Can you now finish the problem ..........

Assume that ott gets y dollars from each friend

Can you finish the problem........


Given that Ott gets equal amounts of money from each friend,
we can say that he gets y dollars from each friend.
This means that Moe has 5y dollars,
Loki has 4y dollars, and Nick has 3y dollars.
The total amount is 12y dollars,
Therefore Ott gets 3y dollars total,
Required fraction =\(\frac{3y}{12y} = \frac{1}{4}\)

Subscribe to Cheenta at Youtube

One comment on “Problem related to Money | AMC 8, 2002 | Problem 25”

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.