# University Arithmetic, Embracing the Science of Numbers, and General Rules for Their Application

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1869 edition. Excerpt: ...is equal to the quotient of the percentage divided by the base. Rule.--Divide the percentage by the base, and the first two decimal places will express the rate. Examples. 1. What per cent, of 10 dollars is 2 dollars? 2. What per cent, of 32 dollars is 4 dollars 1 3. What per cent, of 40 pounds is 3 pounds? 4. Seventeen bushels is what per cent, of 125 bushels? 5. Thirty-six tons is what per cent, of 144 tons? 6. What per cent, is \$84 of \$96? 7. What per'cent, is of 8. What per cent, is 3 miles of 400 miles? 9. Four and one-third is what per cent, of 9J-? 10. One hundred and four sheep is what per cent, of a drove of 312 sheep? II. A grocer has \$325, and purchases sugar to the amount )f \$121.87: what per cent, of his money does he expend? 12. Out of a bin containing 450 bushels of oats, 56 bushels ffere sold: what per cent, is this of the whole? Note.--If the base be regarded as a single thing, and denoted by 1, a fractional percentage expressed decimally will denote the rate. 200. How many parts are there in percentage? What are theyT 261. How do you find the rate, from the base and percentage? 13. J-of a number is what per cent, of the number? 14. i of a ship is what per cent, of the ship? 15. T7ff of 50 is what per cent, of 50? 16. f of a cargo is what per cent, of it? 17. If times a number is what per cent, of the number? 262. To find the base, when the rate and percentage are known. 1. Of what number is \$960, 16 per cent.? Analysis.--By Art. 259, the percentage., ., '..... Vr OPERATION, is equal to the base multiplied by the .., ..... i. n j., yoO-r-.16 = OUUO rate; hence, to-find the base, TlvLLe.--Divide, the percentage by the rate, exi /?molly. 4 W'"JW ftfth: 'A 2. The number 475 is 25% of what...