Henry Ernest Dudeney/Puzzles and Curious Problems/33 - Prosperous Business/Solution
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Puzzles and Curious Problems by Henry Ernest Dudeney: $33$
- Prosperous Business
- A man started business with a capital of $\pounds 2000$, and increased his wealth by $50$ per cent every three years.
- How much did he possess at the expiration of eighteen years?
Solution
- $\pounds 22 \, 781, 5 \shillings$
Proof
Let $T$ be the total required.
We have:
- $T = 2000 \times \paren {\dfrac 3 2}^6$
which evaluates to:
- $T = 22 \, 781 \cdotp 25$
$\blacksquare$
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $33$. -- Prosperous Business
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $30$. Prosperous Business