lars ; 19. If 30 men perform a piece of work in 20 days; how many men will accomplish another piece of work 4 times as large, in a fifth part of the time? Ans. 600. 20. What principal at 6 per cent. per annum, will gain 14£. in 7 months ? Ans. 400£. 21. If the freight of 10 hogsheads of sugar each weighing 12 cwt., cost 12 dollars for 50 miles; what must be paid for the freight of 40 tierces, each weighing 33 cwt. 150 miles ? Ans. $42. 22. If the interest of 700 dollars in half a year be 14 dolwhat will be the interest of 400 dollars for 5 years ? Ans. $80. 23. If 20 acres of grass feed 12 oxen 16 days; how many days will 30 acres feed 18 oxen ? Ans. 16. 24. If $9.375 be the interest gained in 15 months by 150 dollars; what sum at interest will gain 5 dollars in 12 months ? Ans. $100. 25. A farmer sells 204 dollars worth of grain in 5 years, when it is sold for 60 cents per bushel ; what then is it per bushel when he sells 1000 dollars worth in 18 years, provided he sells the same quantity yearly ? Ans. $0.8169.+ 26. If a family of 9 persons spend 450 dollars in 5 months; how much will be sufficient to maintain them 8 months, if 5 more persons are added to the family? Ans. $1120. 27. If 10 bushels of oats supply 18 horses 20 days; how many bushels will supply 60 horses 36 days. Ans. 60. 28. If 248 men in 5 days of 11 hours each, can dig a trench 230 yards long, 3 wide and 2 deep; in how many days of 9 hours long, will 24 men dig a trench 420 yards long, 5 wide, and 3 deep? Ans. 288.30t NOTE.-A few examples given in this and some of the other sections, are repeated in part II. SECTION XX. CONJOINED PROPORTION. 1. If 20 lbs. at Boston make 23 lbs. at Antwerp, and 155 at Antwerp make 180 at Leghorn; how many at Boston are equal to 144 at Leghorn? Ans. 10713 2. If 12 lbs. at Boston make 10 lbs. at Amsterdam, and 10 Ibs. at Amsterdam 12 lbs. at Paris; how many pounds at Boston are equal to 80 lbs. at Paris? Ans. 80. 3. If 20 lbs. in America be equal to 19 lbs. Flemish, and 95 lbs. Flemish be equal to 125 lbs. at Bologna; how many Ibs. in America are equal to 250 lbs. at Bologna ? Ans. 200. 4. If 10 braces at Leghorn be equal to 5 vares at Lisbon, and 10 vares at Lisbon be equal to 20 braces at Lucca; how many braces at Lucca are equal to 200 braces at Leghorn? Ans. 200. 5. Five pounds New Jersey currency are equal to 4 pounds New England currency, and 3 pounds New England currency are equal to 4 pounds New York currency, and 8 pounds New York currency are equal to 5 pounds Canada currency, and 10 pounds Canada currency are equal to 9 pounds sterling. How many pounds sterling are equal to 100 pounds New Jersey currency? Ans. 60 pounds. 6. If 25 lbs. at Boston be equal to 22 lbs. at Nuremburg, and 88 lbs. at Nuremburg be equal to 92 lbs at Hamburg, and 46 lbs. at Hamburg be equal to 49 lbs. at Lyons; how many pounds at Boston are equal to 98 lbs. at Lyons? Ans. 100 lbs. 7. If 100 acres of meadow in Concord be equal in value to 95 acres in Dunstable, and 19 acres in Dunstable are equal to to 25 at Hanover; how many acres at Concord are equal to 50 at Hanover ? Ans. 40. 8. If 30 boys will perform as much labour as 27 men; and 270 men will perform as much as 336 women; how many women will be required to do a piece of work in one day, which 150 boys will do in the same time? Ans. 168. 9. If 10 calves are worth as much as 9 colts; and 90 colts are worth as much as 112 sheep ? how many sheep are equal in value to 50 calves? Ans. 56. 10. If 20 barrels of cider will pay for 10 cords of wood ; and 40 cords of wood will buy 8 tons of plaster ; how many tons of plaster will be equal in value to 100 barrels of cider? Ans. 10% 11. If 25 pounds of cheese are equal in value to 22 pounds of butter; and 88 pounds of butter are equal to 92 pounds of tallow; and 46 pounds of tallow are equal to 49 pounds of sugar; how many pounds of cheese ought I to exchange for 98 pounds of sugar ? Ans. 100. SECTION XXI. INTEREST AND DISCOUNT. 1. What is the interest of 316 dollars for 1 year and 10 months ? Ans. $34.76. 2. What is the interest of two hundred and forty dollars, and sixteen cents, for 3 years, 5 months, and 1 day? 5 Ans. $49.672. 3. If a broker sells goods to the amount of 508£. 17 s. 10 d.; what does his allowance amount to at 14 per cent. ? Ans. 7£. 12 s. 8 d. 4. What is the interest of 93 cents for a year, at 6 per cent. ? Ans. $0.055. 5. What is the interest of one hundred and twenty four dollars, and eighteen cents for 2 years and 8 months ? Ans. $19.868. 6. What is the compound interest of 246 dollars for 2 years? Ans. $30.40. 7. What is the difference between the discount and interest of 100£. for 10 years at 6 per cent. ? Ans. 22£. 10 s. 8. What is the interest of seven hundred and thirty-six dollars, twenty one cents and three mills, for three years, at 7 per cent. per annum ? Ans. $154.604. 9. A merchant in England writes to his friend in Boston that he has purchased goods on his account to the amount of 754£. 16 s.; what dues his commission amount to at 21 per cent. ? Ans. 18£. 17 s. 48 d. 10. What is the interest of $162,14 for 2 years and 4 months, at 7 per cent. ? Ans. $26.482. 11. A note of 1500 dollars dated July 10th, 1806, payable on demand, with interest till paid, has the following payments endorsed on it, viz : Received March 1st, 1807, $50 July 20th, 1807, $300 Sept. 1st, 1807, $400 How much was due January 1st, 1808, Ans. $868. 12. What will 1256 dollars amount to in 8 years at 6 per cent. per annum compound interest? Ans. $2001.863. REMARK. As the interest of 1 dollar (sum 1st,) must be 11 cents for the time specified (1 year and 10 months) the interest of 316 dollars, must be 316 times as many cents, 13. What is the discount of 573£. 15 s. due 3 years hence, at 44 per cent. per annum? Ans. 68£. 4 s. 10 d. 14. What is the present worth of 874 dollars at 6 per cent. due 4 years Ans. $704.838. 15. What is the interest of $327,825 for 3 years, 5 months and 27 days, at 45 per cent. per annum ? Ans. $81.01. 16. A house is estimated at 3000 dollars; what is the amount of insurance against fire at 51 per cent.? Ans. $165. 17. What is the interest of $1173.57 for 18 months, at 5 per cent. ? Ans. $88.014. 18. What discount must be made for the present payment of 100 dollars due 90 days hence, at 6 per cent. per annum? Ans. $1.457. 19. What is the interest of thirty-six dollars and twentysix cents for 4 years, 11 months, and 6 days, at 54 per cent. per annum? Ans. $9.391. 20. What is due a commission merchant who has sold goods to the amount of 1834 dollars; his commission being 23 per cent. ? Ans. $45.85. 21. What is the interest of sixty-four dollars and eighteen cents, for one year and 10 months, at 4 per cent. ? Ans. $4.706. 22. What is the compound interest of $876,90 for 3.1 years, at 6 per cent. per annum? Ans. $198.83. 23. What is now the amount of a bond which has been on interest 11 years, 9 months, 21 days; the principal being 550 dollars and the interest 5 per cent. per annum? Ans. $874.729. 24. What is the amount of 15€. 10 s. for 9 years, at 3) per cent. per annum, compound interest? Ans. 21 £.2 s. 53 d. 25. What is the amount of $225 for 3 years, at 5 per cent. per annum, compound interest ? Ans. $260.465. 26. What is the insurance of an East India ship and cargo valued at 35727£. 17 s. 6 d. at 177 per cent. ? Ans. 6386£. 7 s. 1{d. 27. A held a note against B of two hundred and forty-six dollars, and twenty-four cents, dated October 12th, 1822; March 12th, 1823, B paid 68 dollars; what was due September 24th, 1823 ? Ans. $190.296. 28. How much must be discounted for the immediate payment of 100 dollars, due 1 year hence, at 6 per cent. per annum ? Ans. $5.66. 29. A gentleman gave his note for five hundred and seventy-three dollars and twenty-five cents, with interest at 6 per cent. ; what sum will discharge the note 3 years after the date? Ans. $676.435. 30. What is the present worth of 800 dollars, payable in 10 months, discounting at the rate of 6 per cent. per annum? Ans. $761.904. 31. What is the interest of 256 dollars from June 1st to September 10th inclusive ? Ans. $4.289. 32. How much was due June 1st 1807, on a note for 2000 dollars, dated June 1st, 1805, on which were endorsed the following payments ? Received Sept. 1st, 1805, 96 dollars. Dec. 10th, 1805, 15 April 20th, 1806, 36 July 1st, 1806, 200 Jan. 10th, 1807, 20 March 25th, 1807, 90 Ans. $1767.48. SECTION X XII. PRACTICE.* 1. What will 365 yards of calico cost, at 3 s. 103 d. per yard ? Ans. 70 £. 14 s. 41 d. 2. What will be the cost of 6843 apples, at 4 d. apiece? Ans. 7 £. 2 s. 68 d. 3. What cost 7654 cocoa-nuts, at 2 d. apiece? Ans. 63 £. 15 s. 8 d. 4. What will 9789 pounds of hops come to, at 9 d. per pound? Ans. 367 £. 1 s. 9 d. 5. What cost 5600 yards of cambric, at 17 d. per yard? Ans. 396 £. 13 s. 4 d. 6. What cost 543 barrels of cider, at 15 s. per barrel ? Ans. 407 £, 5 s. 7. What will 5063 handkerchiefs cost, at 2 s. 6 d. apiece? Ans. 632 £. 17 s. 6 d. 8. What cost 942 pounds of tea, at 5 s. 2 d. per pound? Ans. 243 £. 7 s. * This rule is given merely to exercise the learner in it, and not for its practical utility to business men in the United States. |