There shall be separate ballots for the nomination of candidates for each political party or organization in such village. In order to secure the placing of his or her name upon any ballot it shall be necessary for such candidate to file with the village clerk, not less than 10 days before the date designated for the holding of such caucus, a petition signed by not less than 1 nor more than 4 per centum of the electors of such village as shown by the registration books thereof, asking that his or her name be placed upon such ballot and designating the office and the political party or organization upon whose ballot he or she desires to have such name so placed.