10. 31.924 =? 11. What is the cost of 3 pk. 7 qt. of peas, at $3.75 per bushel? 12. Reduce .8765 deg. to whole numbers of lower denominations. 13. Reduce .015 and .0096 to common fractions. 14 Reduce .39 and .3432 to common fractions. PART II. 1. What is the largest number that will exactly divide 475200 and 216000? 2. In 324 sheets of lead, each 12 in. by 8 in., in. thick, how many solid inches? 3. In 20692 sq. rd. how many acres? 4. Reduce 19 h. 12 m. to the fraction of a day. 5. What is the 5th power of .09? 6. 50.76.834+.01=? 7. If 6 yd. of cloth cost $53, what will 14 yd. cost? 8. Add £, s., and d. 9. Reduce .21 pt. to the decimal of a peck. 10. How many inches in length of that which is 81⁄2 in. in breadth will make a square foot? 11. Reduce 1 to a decimal fraction. 12. Carry out the following bill: PERCENTAGE. 252. The subject of Percentage comprises operations in hundredths. Per cent., from the Latin per, by, and centum, hundred, signifies by the hundred; thus, 4 per cent. of any number cr quantity is of that number or quantity. Any per cent. may be expressed as a decimal fraction, as a common fraction, or by the use of the following sign, %; thus, 253. ILL. EX. Reduce 5 per cent. to its lowest terms. 254. ILL. EX. Reduce g to a per cent. (Art. 238.) 8) 3.00 .371=371%, Ans. what it wants of being 100 per cent. 100% - 15% = 85%, Ans. 256. To FIND ANY PER CENT. OF A NUMBER. ILL. EX. What is 25% of 76 bushels of grain? Hence the 76 bu. X.2519 bu., Ans. or 25% =; of 76 bu. = 19 bu., Ans. RULE. To find any per cent. of a number: Multiply by the rate per cent., expressed decimally. EXAMPLES. What is 1. ·8% of $800 ? 2. 5% of 324.40? Ans. 16.22. 10. 4% of 110% of $750? 3. 20% of 375 men? 4. 71% of 800 trees? Ans. $33. Ans. 75 men. 11. 1% of $200.75? Ans. 60 trees. 5. 12% of 78 bu.? Ans. 9 bu. 6. 3% of $14.40? Ans. $.108. 7. 44% of 12£. 6s.? Ans. 104s. 8. 235% of $85? Ans. $1993. 17. What is 25% of 125% of 75% of 50% of 384 inches? 18. Farmer F kept 75 sheep last year, and sold the wool for 40 cents per pound. He has 20% more sheep this year, and hopes to sell his wool 80% higher. How many sheep has he? What does he hope to get per pound for wool? 19. If 121% of $97.50 be lost, what will remain? 20. The owner of a field of wheat allows 83% of the wheat for harvesting; what will be the owner's share if 80 bushels are harvested? 21. I had $125 in bills on the Cochituate Bank when it failed. I received 50% of this in good money from the bank, and afterwards 25% of the remainder; what did I lose? 22. A and B had each $2800 bequeathed to them. 15% on his bequest, and B lost 12% of his bequest. had A and B then? A gained How much 23. Carefully compiled statistics show that in 1860 in the United States % of the population died from intemperance, that % were sent to prisons and almshouses, that % were made orphans, that .001% were murdered, and .001% committed suicide, from the same cause. Considering the population to have been 30000000, what was the number of victims in each case? -in all? Ans. 380,700 in all. 24. A rope 12 yds. long shrank 24% on being wet. Required its length after shrinking. 25. If a yard of cloth shrinks 6% in length in sponging, what part of a yard in length will it be after sponging? 26. If the cloth is a yard wide, and shrinks 6% in length and 6% in width, what will a yard contain after shrinking? Ans. 2288 yd. 27. What would a yard have contained if it had been 11 yds. wide? 28. How much cloth originally 14 yds. wide will be required to make a suit of clothes containing 9 full sq. yds., if the cloth purchased shrinks in sponging 10% each way? Ans. 8 yds. For Dictation Exercises, see Key. 257. TO FIND 100% KNOWING A CERTAIN OTHER %. ILL. EX. $25 is 62% of what sum? If $25 is 62% of some number, 1% is of $25, and 100% is 100 X of $25 $40, Ans. Or = 621%. If $25 is, is of $25, and is 8 X of $25, &c. Hence the RULE. To find 100% knowing a certain other %: Divide the given sum by the given number of c, and multiply by 100. 10. The sum of the ages of a father and son is 44 years, the son's age being 10% of the father's; what is the age of each? NOTE. 44 years: = the father's age, and 10% more, 10 of the father's age; .. 1% =+‡ ̄ of 44, and 100%: 100 XT of 44 years= 40 years, father's age. = 11. Having lost 121% of my money, I have $84 remaining; what had I at first? NOTE. The complement of 121% is 871%: $96, Ans. = · ; .. 8 × ‡ of 84 = 12. 1865 bushels is 25% more than what number? 13. £67.76 is 12% less than what? 14. $4.14 is 31% more than what? 15. A bankrupt is allowed to cancel all his debts by paying 40 cents on the dollar; what did he owe to a person to whom he paid $2000.20 ? 16. An attorney receives $1.26 for collecting a bill which is % of the bill; what was the amount of the bill? |