4. A huckster buys bananas at 15 cents a dozen and sells them at 20 cents a dozen. What per cent does he gain? 5. Paul had a collection of 60 coins. How many had he after buying 20% more? 6. How many more days in September after 83% of the month has passed? 7. A merchant buys hammers at 30 cents apiece and sells them at 40 cents apiece. What per cent does he gain? 8. If 24 quarts of oats and 8 quarts of corn are mixed together, what per cent of the mixture is corn? What per cent oats? 9. Paul earns 80 cents a day. How much will he receive if his wages are raised 20%? 10. What per cent of perfect rank does Alice get when she spells 24 of the 25 words in the lesson? 11. Mr. Carlton raised 72 bushels of corn. He sold 25 per cent of it, lost 121 per cent of it, and fed the rest to his stock. How many bushels did he use? 12. Austin picked and sold 80 quarts of berries. 37 per cent were blueberries, 20 per cent were blackberries, 30 per cent were strawberries, and 121 per cent were raspberries. How many quarts of blueberries? Blackberries? Strawberries? Raspberries? 13. If a dealer pays 25 cents a yard for cloth, for how much must he sell it to gain 20 per cent? 14. By selling cloth at 25 cents a yard a merchant makes 25 per cent. Find the cost. WRITTEN PROBLEMS 1. A farmer sold 35 pecks of peas in one week and 40% as many in the following week. How many pecks in the second week? In both weeks? 2. Out of a case of 4 dozen jars of fruit of a dozen jars were broken. What per cent of the lot was salable? 3. A bicycle that cost $15.75 was sold for 68% of its How much was received for it? 十 cost. + 4. Twenty-five per cent of a man's salary of $1200 is spent for food. How much is spent for food? 5. The carpenter made me a table. He charged $5.75 for materials and $6.25 for labor. I sold the table for $18. What per cent of the cost did I gain? + 6. A house that cost $2750 was sold for 18% less than the cost. How much was received for it? 7. A merchant sold 16 tons of wheat in May and 85% as much in June. How many tons in June? 8. Two hundred cases of eggs were bought at $9 a case and sold at a gain of 20 %. How much was gained? 9. A piece of silk containing 48 yards and costing $2.50 a yard was sold at a gain of 22%. What was the gain? 10. Mr. Parsons bought a horse for $150. After keep ing it 10 weeks at a cost of $5 a week, he sold it at a gain of 10% of the entire cost. How much did he gain? What was the selling price? 11. Out of 350 bushels of tomatoes, 280 bushels were sold. What per cent was sold? DIFFERENCE IN TIME BETWEEN DATES 1. Name the months of the year. How many? 2. Name the first month; the fourth; the seventh; the tenth. 3. What name is given to the second month? The fifth? The eighth? The eleventh? 4. What is the third month? The sixth? The ninth? The twelfth? 5. What month of the year is March? November? July? May? 6. How many years, months, and days from Sept. 20, 1906, to April 15, 1910? First Method: YEARS MONTHS DAYS 1910 4 15 1906 9 20 3 6 25 The minuend is the 1910th year, the 4th month, the 15th day. The subtrahend is the 1906th year, the 9th month, the 20th day. Since we cannot take 20 days from 15 days, we take 1 of the 4 months, express it as 30 days, and put it with the 15 days, making 45 days. 20 days from 45 days leaves 25 days. Since 9 months cannot be taken from 3 months, we take 1 of the 1910 years, or 12 months, and add it to the 3 months, making 15 months. 9 months from 15 months leaves 6 months. 1906 years from 1909 years leaves 3 years. From Sept. 20, 1906, to April 15, 1910, is 3 years 6. months 25 days. In finding the difference in time between two dates in this way, a month is regarded as 30 days. X Second Method : From Sept. 20, 1906, to Sept. 20, 1909, is 3 years. From Sept. 20, 1909, to March 20, 1910, is 6 months. From March 20, 1910, to April 15, 1910, is 26 days. From Sept. 20, 1906, to April 15, 1910, is 3 years 6 months 26 days. This method is used when the exact number of days less than a month is required. TO THE TEACHER: Teach the method in general use among busi ness men in your locality. Find the difference in time in years, months, and days: 12. The battle of Concord and Lexington occurred April 19, 1775. Cornwallis surrendered at Yorktown What was the difference in time between Oct. 19, 1781. these events? 13. Washington was born Feb. 22, 1732, and became President April 30, 1789. How old was he when inaugurated? 1815. X14. Jackson fought the battle of New Orleans, Jan. 15, He became President March 4, 1827. How long after the battle? 15. The colonies declared their independence July 4, 1776. How long ago? 16. Daniel Webster was born Jan. 18, 1782. How old was he at the time of his famous speech in the Senate, March 7, 1850? 17. Nellie was born Nov. 17, 1905, and entered the kindergarten Sept. 9, 1910. At what age? 18. How old is a boy who was born May 12, 1898? 19. What is your age in years, months, and days? Find the difference in time in years, months, and days between these events and today: 20. The landing of the Pilgrims, Dec. 20, 1620. 21. The discovery of America by Columbus, Oct. 12, 1492. 22. The Treaty of Peace at the close of the Revolutiony war, Sept. 3, 1783. 23. The Battle of Bunker Hill, June 17, 1775. 24. The first message by telegraph, May 24, 1844. 25. The birth of Lincoln, Feb. 12, 1809. Mr. Mason has an automobile worth $3000. He lets me have the use of it one hour for $5. Mr. Harrison has a house worth $3000. He lets me have the use of it one year for $300. If Mr. Mason or Mr. Harrison should let me have the use of $3000 for a year, would he expect me to pay for the use of it? Whenever one person has the use of another person's property his automobile, his house, his money - he pays him for it. |