60 seconds (s.) = 1 minute, m. or min. 100 years C. 1. How many seconds in 2. How many minutes in 3. How many hours in = 1 century, min. ? in min. ? h.? in h.? d.? in 1 d.? h.? 4. How many days in 4 w.? in 6 w. 3 d.? 5. What part of 1 hour is 30 min.? 15 min.? 45 min.? 10 min. ? WINTER November. December. January. February. ONTHS. September. October. AUTUMN ONTHS. "Thirty days hath September, To which we twenty-eight assign, SUMMER MONTHS. August. July. June. SPRING May. MONTHS. April. March. The year is divided into 12 months, as illustrated in the above diagram. 6. Name the months in their order, beginning with January. 7. Name the months that have 30 days in each. 8. Name the months that have 31 days in each. 9. How many days has February? NOTE. In business operations a month is generally considered 30 days. ; 10. What part of 2 months, or 60 days, is 30 d.? 15 d.? 12 d.? 20 d.? 6 d.? 4 d.? 5 d.? 3 d.? 1 d.? 45 d.? 40 d.? 10 d.? 11. If there are 12 months in 1 year, months are there in 2 y.? in 3 y. 1 mo. ? 12. What part of 200 months is 8 y. 2 mo.? 2 y. 1 mo.? 3 y. 4 mo. ? how many 4 mo.? 4 y. 13. How many months from Jan. 1st to July 1st? from April 1st to Oct. 1st? from July 1st to Jan. 1st? from Oct. 1st to Jan. 1st? from Feb. 1st to May 1st? from Aug. 1st to Oct. 1st? from Mar. 1st to Jan. 1st? from Sept. 1st to July 1st? 14. In a leap year how many days are there from Jan. 1st to Apr. 1st? from Apr. 1st to July 1st? from July 1st to Oct. 1st? from Oct. 1st to Jan. 1st? 1. How many things in of a gross? 1 dozen? 2. How many years in 3 score years and 10? in 4 score? 3. At 1 cent a sheet, what will be the cost of 1 quire of paper? of 2 quires? of 1 ream? Section XLI. PERCENTAGE. 101. What is 150 of 200 sheep? Ans. 10 sheep. A number found by taking a number of hundreths of a given number, as 10 sheep above, is Percentage. The number of hundredths which are taken to find a percentage, as 5 above, is the rate per cent. 100 5 per cent.=15020. 331 per cent.= 100 100 4 per cent.=10=25. 163 per cent.=16. 2 per cent.=10=50. 8 per cent.86 = 12. 2 102. 1. What part of a number is 70 per cent. of the number? Ans, which equals of the number. 2. What part of a number is 30 per cent. of it? 6 per cent. of it? 331 per cent. of it? 66 per cent. of it? 3. A stabler had 40 horses, and sold 10 per cent. of them; how many did he sell? Ans. He sold, or of 40 horses, which is 4 horses. 4. In a company of 60 persons, 20 per cent. were Scotch; how many persons were Scotch? 60 per cent. were English; how many were English? 5. A grocer had 12 barrels of flour, but he lost 163 per cent. of it by fire; how many barrels did he lose?" 6. What is 5 per cent. of 20 trees? of 40 feet? 7. What is 90 per cent. of 60 men? of 75 days? 8. What is 1 per cent. of 100 weeks? of 200 years? 9. What is 1 per cent. of $200? of $300? 10. What is 2 per cent. of $400? of $220? 11. What is 21 per cent. of $200? $400? $1000? 12. What is 110 per cent. of 50 tons? Solution. 100 per cent. of 50 tons is 50 tons; 10 per cent. of 50 tons equals of 50 tons, or 5 tons, which, added to 50 tons, equals 55 tons; therefore, etc. 13. What is 105 per cent. of 600 yards? of $40? 14. What is 120 per cent. of 200 miles? of $621? 15. A trader bought a house-lot for $80, and sold it so as to gain 25 per cent.; what did he receive for it? Suggestion. 25 per cent. of $80 equals of $80, or $20, which, added to $80, equals $100. 16. A man paid 35 cents a yard for cloth; what must he sell it for to gain 20 per cent.? 17. A merchant has tea which cost him 25 cents a pound if he sells it so as to gain 100 per cent., what will he receive a pound for it? 18. A broker exchanged $16 in gold and gained 50 per cent. on the cost of it; what did he receive for it? 19. A landlord has advanced his rents 30 per cent. ; what will be the rent of a tenement this year which rented last year at $20 a month? 20. At what price must oats be sold to gain 33 per cent., if they cost 30 cents a bushel? 36 cents a bushel? 103. The Complement of any given per cent. is the difference between the given per cent. and 100 per cent. ; thus, the complement of 90 per cent. is 10 per cent.; the complement of 40 per cent. is 60 per cent. 1. What is the complement of 80 per cent.? of 75 per cent.? of 35 per cent.? of 12 per cent.? 2. A man who had 80 geese, lost 30 per cent. of them, and sold the remainder; what per cent. of them did he sell? how many geese? 3. From a cask containing 30 gallons of oil, 20 per cent. leaked out; what per cent. remained in the cask? how many gallons? 4. A milliner bought a lot of bonnets at $6 apiece, but they being damaged, she was obliged to sell them at a loss of 50 per cent.; how much did she receive apiece for them? 5. My agent sells 4 dozen lamps for me at $9 a dozen: if I allow him 25 per cent. on the sale of them, what per cent. of the money which he receives should he pay over to me? how many dollars? of 100 per 104. 1. What per cent. of a number is 3 of the number? Solution. Since the whole of a number equals 100 per cent. of itself, of the number equals cent., or 37 per cent of it; therefore, etc. 2. What per cent. of a day is of it? of it? 3. What per cent. of a bushel is 4. A wealthy gentleman gave 25 of it? of it? of his property to his children, and the rest to his church; what per cent. of it did he give to his church? 5. A man's house is insured for of its value; what per cent. of its value does the insurance cover? for 6. What is the per cent. of gain when cloth is sold of what it cost? for ? for ? for ? for 11? 7. What is the per cent. of loss when an article is sold for of its cost? for ? for &? for &? 8. A lawyer received $2 for collecting a bill of $10; what per cent. of the money collected did he receive? Suggestion. $2 is or of the $10 collected; equals of 100 per cent., or 20 per cent. |