Henry Ernest Dudeney/Puzzles and Curious Problems/176 - Counting the Loss

by : $176$

 * Counting the Loss
 * An officer explained that the force to which he belonged originally consisted of $1000$ men, but that it lost heavily in an engagement,
 * and the survivors surrendered and were marched down to a concentration camp.


 * On the first day's march one-sixth of the survivors escaped;
 * on the second day one-eighth of the remainder escaped, and one man died;
 * on the third day's march one-fourth of the remainder escaped.
 * Arrived in camp, the rest were set to work in four equal gangs.


 * How many had been killed in the engagement?