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The Bill from the House by Hayre, that providing for a reduction of the rates of Postage, has been so materially altered in the Senate, with regard to the rates of postage on letters and newspapers, that the Republic has had prepared a statement of the substance of those provisions as they now stand in the bill as amended by the Senate. With regard to letter postage the Senate bill provides, that from and after June 30 1851, in lieu of the rates of postage now established by law; there shall be charged the following rates, to wit: For every single letter in manuscript, or paper of any kind upon which information shall be asked, &c. conveyed in the mail, for any distance between places within the United States not exceeding 3,000 miles three cents, when the postage shall have been pre-paid; and for any distance exceeding 3,000 miles double those rates; for every such single letter, when conveyed wholly or in part by sea, and to or from a foreign country, for any distance over 8,500 miles, twenty cents, and for any distance over 2,500 miles, ten cents. A single letter if not exceeding half an ounce; double and treble letters pay double and treble these rates.

The rates of postage on newspapers may be stated thus: All newspapers not exceeding three ounces in weight, sent to actual subscribers from the office of publication, shall be charged as follows: Weekly papers, within the county published, free; for any distance not exceeding fifty miles out of the County where published, five cents, per quarter; exceeding fifty and not more than three hundred miles ten cents per quarter; over three hundred and not exceeding one thousand miles fifteen cents per quarter; over one thousand and not exceeding two thousand miles, twenty cents per quarter; over two thousand and not exceeding four thousand, twenty-five cents per quarter; and for any greater distance, thirty cents per quarter; semi-weekly papers. to pay double, tri-weekly treble, and papers issued oftener than tri-weekly, five times these rates.

For any other, book, paper, magazine, &c., not exceeding one ounce in weight. there shall be paid for a distance not exceeding 500 miles, one cent.
Over 500 and not exceeding 1,500 miles two cts.
Over 1,500 and not exceeding 2,500 m's. three cents.
Over 2,500 and not exceeding 3,500 miles four cents.
Over 3,500 and not exceeding 4,500 miles five cents.
For each additional ounce or fraction the rates are proportionably increased.