Henry Ernest Dudeney/Puzzles and Curious Problems/6 - A New Partner

by : $6$

 * A New Partner
 * Two partners named Smugg and Williamson have decided to take a Mr. Rogers into partnership.
 * Smugg has one and a half times as much capital invested in the business as Williamson
 * and Rogers has to pay down $\pounds 2500$, which sum shall be divided between Smugg and Williamson,
 * so that the three partners shall have an equal interest in the business.


 * How shall that sum be divided?