Henry Ernest Dudeney/Puzzles and Curious Problems/11 - Distribution

Puzzles and Curious Problems by Henry Ernest Dudeney: $11$

Distribution

Nine persons in a party, $A$, $B$, $C$, $D$, $E$, $F$, $G$, $H$, $K$, did as follows:

First $A$ gave each of the others as much money as he (the receiver) already held;

then $B$ did the same; then $C$; and so on to the last,

$K$ giving to each of the other eight persons the amount the receiver then held.

Then it was found that each of the nine persons held the same amount.

Can you find the smallest amount in pence that each person could have originally held?

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Money Puzzles: $11$. -- Distribution
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Money Puzzles: $18$. Distribution