17 What relation exists between the units of a place in the integral and decimal numeration table? P. 200. 81 What are the contents of a floor equal to ? 19 66 is 66 breadth 66 20 When the contents of a floor are given, in what proportion is the length to the breadth? 21 If two numbers are inversely proportional, what is either equal to ? 22 What may we regard as causing or producing the contents of a room? 23 When the causes are equal, how are the elements? 24 If the effects are equal by what may they be denoted? 25 If 12 pieces of cannon, 18 pounders, can batter down a castle in 3 hours, in what time would 9 twenty-four pounders batter down the same castle, both pieces of cannon being fired the same number of times, and their balls flying with the same degree of velocity? Art. 208. Ex. 30. COMPOUND PROPORTION. 1 What is compound proportion? P. 205. 3 "is always required? 4 Give rule for stating the question and finding the unknown part. 5 If 3 men working, 10 hours a day, can plant a field 150 rods by 240 rods, in 5 days, how many men, working 12 hours a day, can plant a field measuring 192 rods by 300 rods, in 4 days? Art. 210, Ex. 21. PARTNERSHIP. 1 What is partnership? P. 209. 2 What is a partner? 3 What is capital or stock? 4 What is a dividend? 5 What is loss? 6 Four persons, A, B, C, and D, agreed to do a piece of work for $270. They were to do the work in the proportions of 3, 4, 1, 1. What should each receive for his work? Art. 222, Ex. 13. COMPOUND PARTNERSHIP. 1 When partners employ their capital for different periods of time, on what will the profit depend? P. 211. 2 Will the cause then be simple or compound? 3 To what will it be equal? 4 Give the rule for finding each share. 5 Three men hire a pasture for $70.20. A puts in 7 horses for 3 months, B 9 horses for 5 months, and C 4 horses for 6 months. What part of the rent should each pay? Art. 213, Ex. 1. PERCENTAGE. 1 What is percentage? P. 214. 3 What does per cent. mean? 4 What do you understand by 3 per cent. ? 6 How do you find the percentage of any number? 7 What is the difference between 44 per cent. of $1,000 and 7 per cent. of $1,500? Ex. 22. Art. 216, 8 How do you find the percentage which one number is of another? 9 A and B engage in different kinds of business, with $5,400 capital each. A gains $1,350, and B loses $540 the first year. What per cent. is B's money of A's? Art. 217, Ex. 15. 10 How do you find the base when the percentage is subtracted from the base? 11 A farmer bought 40 sheep, and after keeping them for one year, sold them at an advance of 55 per cent., and received $248. What did he pay for the sheep? Art. 218, Ex. 1. 12 A grocer purchased a lot of teas and sugar, on which he lost 16 per cent. by selling them for $4,200. What did he pay for the goods? Art. 218, Ex. 4. 6 How do you find the interest of any principal for any number of years? 7 What is the interest of $3,153.82 for two years, at 4 per cent.? Art. 220, Ex. 10. and 8 How do you find the interest for any time any rate per cent.? 9 What is the interest of $1,752.96, at 6 per cent. for 2 years 4 months and 29 days? Art. 221, Ex. 1. 10 How do you find the interest when the principal is pounds, shillings and pence? 11 What is the interest on £161 15s. 3d., at 6 per cent. for 8 months 13 days? Art. 223, Ex. 7. 12 How many parts are there in every question of interest? 13 How many of these must be known before the remainder can be found? 14 How do you find the interest when you know the principal, rate and time? 15 How do you find the principal when you know the interest, rate and time? 16 What principal, at 6 per cent., will in 9 months give an interest of $178.9552? Art. 224, Ex. 1. 17 Knowing the interest, time and principal, how do you find the rate per cent. ? 18 The interest of $2,100 for 3 years 1 month and 18 days is $460.60. What is the rate per cent. Art. 224, Ex. 6. 19 Knowing the principal, rate per cent. and interest, how do you find the time? 20 The interest on $1,119.48, at 7 per cent., is $195.909. What is the time? Art. 224, Ex. 11. 21 Knowing the principal, rate per cent. and time, how do you find the amount? 22 The principal is $555, rate per cent. 8, the time 1 year, 8 months, 15 days. What is the amount? 23 Knowing the rate per cent., time and amount, how do you find the principal? 24 Rate per cent. 7, time 1 year, amount $107, what is the principal ? 25 What is the rule for partial payments? P. 229. 26 On a note of $450, dated Oct. 19, 1850, and drawing 8 per cent. interest, were the following endorsements made: Sept. 25, 1851, $85.60; July 10, 1852, $20; June 6, 1853, $150.45; Dec. 28, 1854, $25.12; May 5, 1855, $169. What was due Oct. 18, 1857? Art. 225, Ex. 6. 27 What is legal interest? P. 232. COMPOUND INTEREST. 1 What is compound interest? P. 232. 2 How do you compute compound interest? 3 What will be the compound interest of $95,637.50 for 7 years, at 6 per cent.? Ex. 8. Art. 227, 4 What will be the compound interest of $540.50, at 6 per cent., for 3 years, 6 months and 15 days? Art. 227, Ex. 12. |