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145. 4fd. a piece, which were sold at 18d. a yard; required the prime cost, what it sold for, and the gain.
€. d. s
Prime cost, 19 8 11 Ans.
23 5 9 Gain,
3 17 71 25. Three partners, A, B and C, join their stock, and buy goods to the amount of £1025,5 ; of which A put in a certain sum ; B put in.... I know not how much, and C the rest ; they gained at the rate of 241. per cent. : A's part of the gain is }, B’s }, and C's the rest. Requirej each man's particular stock.
£ a's stock was 512,75 Ans. B's
307,65 26. What is that number which being divided by , the quotient will be 21 ?
Ans. 15 27. If to my age there added be,
One-half, one-third, and three times three, .
Ans. 66. 28. A gentleman divided his fortune among his three sons, giving A 91. as often as B 51. and to C but 31. as of sen as B77. and yet C's dividend was 25841. ; what did the whole estate amount to?
Ans. £19466 23. 8d. 29. A gentleman left his son a fortune, of which he spent in three months ; & of the remainder lasted him 10 month longer, when he had only 2524 dollars lest ; pray what did his father bequeath him?
Ans. $5889, 33cts. + 30. In an orchard of fruit trees, of them bear apples, pears, & plums, 40 of them peaches, and 10 cherries ;
Ans. 600. how many trees does the orchard contain ?
31 There is a certain number which being divided by 7, the quotient resulting multiplied by 3, that product divi. sed by 6, from the quotient 20 being subtraced, and 30 added to the remainder, the hali si ehall niake 65 ; can you tell me the number?
32 What part of 25 is ! of an unit?
Ans. de 33. If Acne
do piece of work alone in 10 days, B in 20 days. € 140 days, and D. in 8 days set all four about it together, in what time will they finish it?
Ans. days 34. A farmer being asked how many sheep he had, an swered, that he had them in five fields, in the first he bade of his flock, in the second á , in the third , in the fourth ia and in the fifth 450 ; how many bad he?
Ans. 1200. 35 A and B together can build a boat in 18 slays, and with the assistance of C they can do it in 11 days ; in what time would C do it alone ? Ans. 2 84 ay you
36. There are three numbers, 23, 25, and 42; what is the differance between the sum oi'the squares of the Arst and last, and the cube of the middlemost ?
Ans. 13332 37 Part 1200 acres of land among A, B, and C, 80 that B may have 100 more than A, and C 64 more than
Ans. A 312, B 412 C 476. 38 If 3 dozen pair of gloves be equal in value to 2 pieces of holland, 3 pieces of Holland to 7 yards of satin, 6 yards of satin to 2 pieces of Flanders lace, and 3 pieces of Flanders lace to 81 shillings ; how many dozen pair of gloves may be bought for 28s. ?
- Ans. 2 dozen pair. 39 A lets B have a bogshead of sugar of 18 cwt worth 5 dollars, for 7 dollars the cwt. of which he is to pay in cash. B hath paper worth 2 dollars per ream, which he gives A for the rest of his sugar, at 21 dollars per Team ; which gained most hy the hargrin ?
Ans.id by $19, 20 cts 40. A father left his two sons(the one 11 and the other 16 years old) 10000 doll irs, to be divided so tnat each share, being put to interest at 5 per cent, might amount to equal sum: when they would he respectively 21 years of age. Required the shares ?
Ans. 54548, and 454541 dollars 41. Bought a certain quantity of broadcloth for 3831.
5s. and if the number of shillings which it cost per yard were added to the number of yards bought, the sum would hje 386; I demand the number of yards bought, and at what price per yard?
Ans. 365 yds. at 21s. per yard.
Solved by PROBLEM VI. page 183. 12. Two partners Peter and Folin, bought goods to the amount of 1000 dollars; in the purchase of which, Peter paid more than John, and John paid.....I know not how much : They then sold their goods for ready money, and thereby gained at the rate of 200 per cent. on the prime cost: they divided the gain between them in proportion to the purchase money that each paid in buying the goods; and Peter says to John, My part of the gain is really a handsome sum of money ; I wish I had as many such sums as your part contains dollars, I should then have $960000. I demand each man's particular stock in purchasing the
Ans. Peter paid 600 dollars, and John paid 400 THE FOLLOWING QUE6TIONS ARE PROPOSED TO SURVEYORS.
1. Required to lay out a lot of land in form of a long square, containing 3 acres, 2 roods and 29 rods, that shall take just 100 rods of wall to enclose, or fence it round; pray how many
rods in length, and how many wide, must said lot be ?
Ans. 31 rods in length, and 19 in breadth.
Solved by PROBLEM VI. page 183. 2. A tract of land is to be laid out in form of an equal square, and to be enclosed with a post and rail fence 5 rails high ; so that each rod of fence shall contain 10 rails. How large must this noble square be' to contain just as ma. ny acres as there are rails in the fence that encloses et, 80 that every rail shall sence an acre ? Ans. the tract of land is 20 miles square, and
contains 256000 acres. Thus, 1 mile=320 rods; then 320X320_160=640 acres : and 320 X4x10=12800 rails. As 640 12800 : : 12800 : 250000-rails, which will enclose 256000 acres
20 miles square,
TOGETHER WITH SOME
FOR FINDING THE CONTENTS OF SUPERFICIES, SOLIDS,
SHORT RULES, FOR CASTING INTEREST AT SIX PER CENT 1. To find the interest of any sum of shillings for any number of days less than a month, at 6 per cent.
RULE. 1. Multiply the shillings of the principal by the number of days, and that product by 2, and cut of three figures to the right hand, and all above three figures will be the intei
2. Multiply the figures cut off by 4, still striking off three figures to the right hand, and you will have the farthings, very nearly.
EXAMPLES 1. Required the interest of 51. 85. for 25 days.
est in pence.
5,8=108x25x25,400, and 400X4=1,600
Ans. 5d. 1,64rs. 2. What is the interest of 211. 3s., for 29 days?
II. To find the interest of any number of cents for any number of days less than a month, at 6 per cent.
RULE. Multiply the cents by the number of days, divide the product by 6, and point off two figures to the right, and all * the figures at the left hand of the dash, will be the interest in mills, ncarly.
Required the interest of 85 dollars, for 20 days. cts.
milla. 85=8500X20+6=283,33 Ans. 283 which is
28cts. 3mills. 2. What is the interest of 73 dollars 41 cents, or 7341 cenis, for 27 days, at 6 per cent. ?
Ans. 330mills, or 33cts.
III. When the principal is given in pounds, shillings, &c
New-England currency, to find the interest for any num. ber of days, less than a month, in Federal Money
RULE. Multiply the shillings in the principal by the number of days, and divide the product by 36, the quotient will be the interest in mills, for the given time, nearly, omitting fractions.
Required the interest in Federal Money, of 276 158. or 27 davs, at 6 per cent.
£ Ans. 27 153555x27:-36-416mills. 410s. Gira
V When the principal is given in Federal Money,
and you want -the imrest in shillings, pence, &e. New-Eng. tand carrency, or any number of days less than a mondia