Section V. PERCENTAGE. LESSON I. PERCENTAGE includes computations in which 100 is considered the unit. it. Any percent of a number is that many hundredths of There are four quantities used in percentage: the base, the rate, the percentage, and the sum, or the difference of the base and the percentage. The base is the number upon which the percentage is calculated. rate. The rate is so many hundredths of the base. The percentage is the product of the base and the The sign % is frequently used instead of the word. percent. it? I. What part, or fraction, of any number is 5% of 6. What fraction is 52%? 55%? 56%? 60%? 7. What fraction is 70%? 75%? 80%? 88% ? 96% ? 9. What part of any number is 31% of it? Solution: 3% is 3310030030. Answer: 30. Solution: 5% is 180, or 2.2 of 60 is 3. An 12. What is 37% of 56? 41% of 84? 43% of 160? 13. What is 44% of 81? 53% of 120? 561% of 112? 14. 144? What is 62% of 88? 66% of 57? 68% of 15. What is 833% of 108? 85% of 119? 871% of 128? 16. What is 888% of 99? 933% of 120? 93% of 96? LESSON III. I. A farmer having raised 48 sheep, sold 62% of them. How many did he sell? Solution: 62% 2%, or §. He sold of 48 sheep = 30 sheep. 2. 20%. Bought a gun for $50, and sold it at a gain of 3. Owning 80 acres of land, I sold 25% of it to one man, and 15% to another. How many acres were sold? A trader having $120, gained 16% of it in one speculation, and 12% of it in another. How much money had he then ? 5. A farmer raised 96 bushels of wheat. He sold 33% of it at one time, and 371% of it at another. How many bushels remained? 6. Horses cost $75 apiece. At what price per head must they be sold to realize a profit of 32% ? 7. A owned 40 acres of land, and B owned 50 acres. Each sold 40% of his land to the other. How many acres had each then? 8. To make 163% profit, what must eggs be sold for that cost 18 cents a dozen? age. A cask of wine holding 15 gal. lost 5% by leakHow many quarts were lost? 10. Having $200, I spent 20% of it for a watch, and 12% of the remainder for a chain. How much was paid for both? II. Sold a buggy for $35, thereby losing of the cost. For how much should I have sold it to gain 11%? 12. A keg of cider holding 12 gal. 2 qt. lost 4% by leakage. How many gallons remained in the cask? 13. A man having $150, spent 163% of it for a stove, and 12% of the remainder for a carpet. How much money had he left? 14. A horse cost $120, and a set of harness $40. 66% of the cost of the horse + 40% of the cost of the harness of the price of a carriage. What did the carriage cost? 15. A merchant having $300, invested 81% of it in coffee at 163 cents a pound. How many pounds did he buy? 16. A drover bought 40 hogs at $4.50 each. 10% of them were stolen. At what price per head must he sell the remainder to sustain no loss? 17. A farmer raised 360 bushels of corn, and sold 555% of it at 50 cents a bushel. What did he get for it? 18. Paid $48 for turkeys at 75 cents each. 61% having died, at what price must each be sold to realize a clear profit of 25% on the transaction? 19. Paid $18 for a case of six dozen slates, and sold them at a profit of 20%. What was the selling price of each slate? 20. A trader having $480, spent 16% of it for sheep, 371% of the remainder for cattle, and the balance for horses at $50 each. How many horses did he buy? 21. A man having 75 miles to travel, rode 48% of the distance in 4 hours. At what rate per hour did he travel? 22. A grain-dealer paid $200 for oats at 33 cents a bushel, and sold 25% of it at a profit of 20%. What did he receive for what he sold? 23. A drover sold 60 hogs at $6.25 each, and invested 66% of the money in sheep at $2.50 each. How many sheep did he buy? 24. A speculator began business with $2100. He gained 14% of it in one trade, and 16% of the amount in another. But in a third he lost 25% of his entire capital. How much money had he then? 16 19 19 9. 12, 13, 17, 18, 18, 73, 18, 18, 48, 18. IO. 25 12 30 21 27 18 36 21 24 35 36, 18, 33, 37, 78, 84, 31, 2, 86. |