Friday, Jul 24, 2026 The claims desk. Receipts included. POWERED BY LENZ
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GENERAL

The Claim

In the classic missing-money puzzle involving a 100,000 loan, after spending 97,000 and repaying 2,000, the remaining debt of 98,000 equals the sum of assets held, which are 97,000 in goods and 1,000 in cash, so no money is missing.

The Short Version

The arithmetic and conclusion are correct — assets of 97,000 in goods plus 1,000 in cash do equal the 98,000 remaining debt, and no money is missing. Khan Academy's explanation of this exact puzzle variant confirms the resolution. However, the claim's framing omits a key piece of context: the puzzle's confusion arises from improperly adding debt and asset figures together, a category-mixing fallacy. Simply asserting "debt equals assets" resolves the riddle's answer but doesn't explain the trick, and could itself be misread as endorsing the flawed logic the puzzle exploits.

Caveats

  • The claim's framing — 'debt equals assets, so no money is missing' — omits that the puzzle's trick relies on improperly adding incompatible accounting categories (liabilities vs. assets), which is the actual source of confusion.
  • Stating that 'remaining debt equals the sum of assets held' is a coincidental numerical equality in this scenario; it is not a general accounting principle and should not be applied as one without proper double-entry bookkeeping context.
  • Most sources in the evidence base address a different puzzle variant (the hotel bellhop/missing dollar riddle), limiting their direct relevance to this specific 100,000-loan version.

The Receipts

  1. Riddle of the Week #19: The Missing Dollar - Popular Mechanics

    Popular Mechanics

  2. Missing Money Puzzle Explanation

    Khan Academy

  3. logic puzzles - Where is the missing dollar?

    Puzzling Stack Exchange

  4. Where Did the Dollar Go ? Puzzle - Solution - Math is Fun

    Math is Fun

  5. The Missing Dollar Puzzle: Solved & Explained - YouTube

    YouTube - The Missing Dollar Puzzle: Solved & Explained

  6. Can You Solve The Missing Dollar Riddle? - YouTube

    YouTube - Can You Solve The Missing Dollar Riddle?

  7. The Missing Dollar Puzzle - Interactive Brain Teaser Challenge

    Basic Mathematics

  8. The Missing Money Puzzle Solved

    YouTube (Educational Channel)

  9. Trick Question - Find the missing dollar - YouTube

    YouTube - Trick Question - Find the missing dollar

  10. The Missing Dollar Riddle - YouTube

    YouTube - The Missing Dollar Riddle

+ 2 more sources — see the full list on Lenz

Filed Under

missing-money puzzle