Lesson 55. 1. A bankrupt paid 62 cents on a dollar. What part of his claim did each creditor receive? 2. A milkman sold the same amount of milk to each of 8 families and sold 5 gal. in all. quarts did each family buy? How many 3. If a man agrees to work 10 hours a day, what part of a day's wages should he receive for working 3 hours and 45 minutes? 4. A and B hired a pasture. A put in 8 cows, B 13 cows. What part of the rent should each pay? 5. A and B are partners. A owns $3000 of the capital and B $8000. What part of the profits should B receive? 6. A and B divide profits in proportion to their capital. If A receives $500 and B $200, what part of the capital belongs to A? 7. Thomas earns $2 a day and George $14. They work the same number of days and earn together $40. What part of it belongs to George? 8. If of a piece of work can be done in a day, in how many days can the work be done? 9. If A can mow of a field in of a day, in how many days can he mow the field? 10. A man divided $48 between his 2 sons so that one received as much as the other. What part of $48 did each receive? How many dollars? 11. John has of a melon. To how many boys can he give of a melon? of a melon? 12. If 4 cents are paid for the use of a dollar for a year, what part of a dollar is paid? Lesson 56. 1. A is 12 miles behind B. In how many hours will he overtake B, if he walks 14 miles an hour faster than B? 2. A freight train runs 18 express train runs 353 miles. miles an hour, and an How many miles does the express gain on the freight in an hour? 3. What part of a bushel of chestnuts would be needed to give 24 boys a pint apiece? 4. If a post 5 ft. high casts a shadow 2 ft. long, what part of the height of the post is the length of its shadow ? 5. How high is a pole that casts a shadow 5 times as long as the shadow of the post in the last example? 8 times as long? 6. If a man walks at the rate of 23 miles an hour, how far will he walk in 7 hours? 7. If A can build a wall in 24 days, what part can he build in 1 day? in 2 days? 8. If A can mow a field in 2 days and B can mow it in 2 days, what part can each mow in 1 day? What part can both together mow in 1 day? 9. What will remain of $5 after paying for beef $14, for sugar $14, and for apples $14? 10. If Mr. Brown sold a horse, losing of the cost, for what part of the cost did he sell the horse? What did the horse cost if he was sold for $70? 11. By investing $80 B gains $4 a year. C invests $70 and gains $3 a year. The annual income of each man is what part of his investment? makes the better investment? Which CHAPTER IV. PERCENTAGE. Lesson 1. Per cent means hundredths. 10% (10 per cent) of anything is 10 hundredths of it. 1. What part of a circle is 50% of it? 2. How many quarts in 50% of 1 gal.? 3. If a boy has 40 cents, how much will he have after spending 50% of his money? 4. 50% of 34 is what number? 5. After selling 50% of his cows a dealer had 15 cows left. How many had he at first? 6. What part of a circle is 25% of it? 7. What part of an apple is 25% of it? 8. How many quarts in 25% of 1 bu. ? 9. A farmer sold 25% of his flock of sheep. What part of his flock did he keep? 10. 25% of a mixture is water, and the mixture contains 10 lb. of water. What is the weight of the mixture? 11. A frost killed of the plants in a garden. What per cent of the plants did the frost kill? What per cent remained alive? 1. What part of a circle is 334% of it? 4. If a man gave away of his property, what per cent of his property did he give away ? 5. In an orchard of 42 trees 331% are pear trees. How many pear trees are there in the orchard? 6. What per cent of a circle is of the circle? 7. A boy having 21 peaches gave away 66% of them. How many peaches did he give away? 8. How many inches in 66% of a yard? 9. If a boy lost of his marbles, what per cent of his marbles did he have left? 10. After selling 33 per cent of his flock of sheep, a farmer had 32 sheep left. How many had he at first? 11. What part of a circle is 16% of it? 12. If a pie is divided equally among 6 boys, what per cent of the pie will each boy have? 13. How many eggs in 16% of a dozen of eggs? 14. Fifty dollars is 163% of what? 15. A owns 33% of a vessel and B 16 per cent. A's share is how many times B's share? 16. Eleven is 163% of what number? 1. What part of a rectangle is 20% of it? 2. Twenty is what part of 100? 3. If a rectangle contains 40 sq. ft., how many square feet are there in 20% of it? in 40% of it? in 60% of it? in 80% of it? in 100% of it? 4. If a piece of cloth 10 ft. long shrinks 20%, how long will the cloth be after shrinking? 5. Peter's age is 20% of his father's. If Peter is 9 years old, how old is his father? 6. A farmer sold 20% of his land to A, 25% to B, and 50% to C. What per cent had he left? 7. What part of a rectangle is 10% of it? 10. What part of 20 is 2? What per cent? 11. What per cent of 20 is of 20?of 20? fo of 20? 12. Philip gave 10% of a melon to each of 4 boys. What per cent of the melon remained? 13. A owns 25% of a factory and B 10%. A's share is how many times B's share? 14. What per cent of a farm would remain after fo of it was sold? |