50. 129 cwt. 2 quarters, 27 lb., at 4l. 1s. 74d. Ans. 5297. 10s. 14d. .

51. 29 lb. 4 oz. 16 dwt., at 37. 6s. Od. Ans 971. Os. 4 d. 1.

52. 31 lb. 7 oz. 12 dwt. 16 gr., at Ans. 137. 8s. 103d. f.

53. 36 yds. 3 qr. 1 nl., at 17. 12s. 6d. 17s. 11 d. 1.

Ol. 8s. 6d.

Ans. 591.

54. 59 qr. 3 bush. 3 pks., at 37. 17s. 10d. Ans. 2311. 11s. 1d. f.

55. 540 acres, 2 roods, 38 perches, at 4l. 15s. 6d. Ans. 25821. Os. 58d.

56. 784 yards, 6 feet, 36 inches, at Ol. 15s. 6d. Ans. 6091. 15s. 54d. 18.

57. 963 cwt. 2 qr. 25 lb., at 4l. 18s. 6d. Ans. 47491. 6s. 11 d. 71.

59

58. 798 at 31. 17s. 6d. 59. 206 at 17. 16s. 10d.

Ans. 30931. 5s. 8d.

at 157. 16s. 8d.

Ans. 3797. 18s. 6d. Ans. 80617. 10s. 10d.

TARE AND TRET.

Gross weight is the full weight of any merchandise, together with that of the cask, or other package in which it is contained.

Tare is an allowance made to the purchaser for the weight of the package.

Tret is an allowance of 4 lb. on 104 lb. or on goods subject to waste.

Cloff is an allowance of 2 lb. on every 3 cwt. or 1, for the turn of the scale after tare and tret are deducted.

Suttle is when part of the allowance is deducted from the gross.

Net weight is what remains after all allowances are made.

1. In 15 hhds. of tobacco, each 2 cwt. 1 qr. 12 lb. gross; tare 1 qr. 4 lb. per hhd.; how much net weight? Ans. 31 cwt. 8 lb.

2. What is the net weight of 6 hhds. of tobacco, weighing 95 cwt. 2 qr. 8 lb. gross; tare 7 lb. per

cwt., tret 4 lb. per 104 lb., cloff 2 lb. for every 3 cwt.? Ans. 85 cwt. 2 qr. 15 lb.

79

3. Suppose 17 lb. per cwt. tare, and 4 lb. per 104 lb. tret, were allowed on seven casks of prunes, each 3 cwt. 1 qr. 5 lb. gross, what would their net weight be? Ans. 18 cwt. 2 qr. 231§§ lb.

4. What is the net weight of 14 hhds. of sugar, each 15 cwt. 3 qr. 14 lb. gross, tare 1 qr. 14 lb.` per hhd., and allowing tret and cloff? Ans. 207 cwt. 1 qr. 18,5 lb. net.

5. What is the net weight of 19 bales of cotton, each 1 cwt. 3 qr. 10 lb. gross, tare 8 lb. per cwt., allowing also tret and cloff? Ans. 31 cwt. 0 qr. 1378 lb. net.

6. What is the net weight of 30 tierces of coffee, each 8 cwt. 3 qr. 16 lb. gross, tare 18 lb. per cwt., allowing tret and cloff? Ans. 214 cwt. 0 qr.

1872 8077 lb.

7. What is the value of 12 bales of pepper, each weighing 2 cwt. 2 qr. 22 lb., tare 3 lb. per bale, allowing also tret and cloff, at 1s. 34d. per lb.? Ans. 2177. 18s. 34d..

8. In three casks of oil weighing 10 cwt. 1 qr. 11 lb., how many gallons, allowing 18 lb. per cwt. tare, and 71⁄2 lb. net, to a gallon? Ans. 12993 gal.

PARTNERSHIP.

RULE. As the whole stock or sum is to the whole gain or loss, or the number to be divided so is each particular stock, or number: to the parts sought.

PROOF. Add the quotients.

1. Divide 1407. among 3 persons, so that their shares shall be to each other as 1, 2, and 3? Ans. 231. 6s. 8d.-467. 13s. 4d.-70l.

2. Three merchants trade together, A puts in 30%.,

B 401., and C 567., they gain 130l., what is each man's share of the gain? Ans. A's 30l. 19s. 0d. . B's 41l. 5s. 4 d. 1. C's 571. 15s. 6d. 11.

3. A bankrupt is indebted to B 250l., to C 2801., to D 300l., and to E 1027. 10s., his estate is worth only 6007., how must it be divided among his creditors? Ans. B's 1607. 17s. 13d. 4. C's 180l. 3s. 24d. 5. D's 1937. Os. 7d. 19. E's 65l. 19s. Old..

4. A common, consisting of 200 acres, is to be divided among R, S, and T, in proportion to their estates; R's estate is worth 300l., S's 3501., and T's 2007., what is each man's share of the common? Ans. R's 70 ac. 2 ro. 14 po. S's 82 ac. 1 ro. 16, po. T's 47 ac. 9 po.

5. A, B, and C join stocks in trade; their stocks amount to 2001. A's gain was 31., B's 57., and C's 87., what was each man's stock? Ans. A's 371.10s., B's 627. 10s., and C's 100%.

6. The stock of a trading company is 218047. 16s. Old. and consists of 84 shares, what is C's stock, who has 7 shares? Ans. 18177. 1s. 4ąd. .

NOTE. Multiply the stock by 7, and divide by 84. Or divide by 12.

When the times of continuing the stock in company are unequal.

RULE. Multiply each sum into its respective time.

7. Three graziers rent a piece of land at 307. 10s., A puts in 12 sheep for 34 months, B puts in 8 sheep for 8 months, and C puts in 10 for 5 months, how much must each pay of the rent? Ans. A 81. Os. 1 d., B 127. 19s. 3d., and C 97. 10s. 7ąd.

8. Two merchants enter into partnership for 16 months, A put in at first 2507., and at 8 months' end he put in 802. more, B put in at first 3607.,

and

at 12 months' end took out 907., they gained 5107., what was each man's share? Ans. A's 2357. 13s.

81

11td., B's 2741. 6s. Od. 179.

9. A, B, and C enter into partnership, A puts in at first 500l., and 4 months after 1507. more, but 2 months after he takes out 350l.; B puts in at first 3001., and 6 months after 4001. more, but 3 months after he takes out 6007.; C puts in 200l., and is to have 150l. for managing the business. At the end of 12 months they gain 5001. Required each man's share? Ans. A's 1527.11s. 3d.., B's 125l. 12s. 9d. {}., and C's 2217. 15s. 10d. §.

10. A common, consisting of 500 acres, 2 roods, 30 perches, is to be divided among 6 persons, whose estates upon which their claims are founded are respectively 1500l., 2000., 3000l., 3600l., 4000l., and 48007., and the values of the land allotted to each are respectively 20s., 25s., 30s., 40s., 50s., and 60s., per acre. Required the quantity each receives? Ans. 1st, 74 acres, 1 rood, 175 perches; 2d, 5th, and 6th, each 79 acres, 1 rood, 10,70 perches; 3d, 99 acres, 23 perches; and the 4th, 89 acres, 37151 perches.

11. Four graziers rented a grass-park for six months, for which they paid 40%. Now, A put in 20 oxen, and paid 81.; B put in 25 oxen, and paid 127.; C put in 16 oxen, and paid 107.; and D put in 30 oxen and paid 101. Required the time that each person's oxen continued? Ans. A's continued 1 month, B's 1 month, C's 211 and D's 197, month.

INTEREST

months,

Is the allowance given by the borrower of any of money to the lender.

sum

Principal is the money lent.

Rate per cent. is the sum agreed on.

Amount is the principal and interest added together.

I. To find the interest for one year.

RULE. Multiply the principal by the rate per cent., and divide by 100.

NOTE. If the rate per cent. is an aliquot part of 100, take the same part of the principal for the interest.

II. To find the interest for several years.

RULE. Multiply the interest for one year by the number of years.

NOTE. If there is a fraction annexed to the years or the rate per cent., take aliquot parts for it.

III. To find the commission, brokerage, insurance, and value of stock.

RULE. Multiply the sum by the rate, and divide the product by 100.

IV. To find the quantity of stock that can be purchased for a given sum.

RULE. Multiply the sum by 100, and divide by the rate.

SIMPLE INTEREST.

1. What is the interest of 851. for a year, at 5l. per cent.? Ans. 4l. 5s.

2. What is the interest of 1087. 10s. for a year, at 47. per cent.? Ans. 47. 6s. 94d. . 3: What is the interest of 10007. for a year, at 41. per cent.? Ans. 45l.

4. What is the amount of 407. 10s. for three

at 341. per cent.? Ans. 447. 15s. Old. §.

years,

5. What is the interest of 1191. 1s. 8d. for five years, at 41. per cent.? Ans. 23l. 16s. 4d.

6. What is the interest of 450l. 8s. 6d. for 42 years, at 51. per cent.? Ans. 1067. 19s. 6d.

7. What is the interest of 3427. 16s. 9d. for 5 years, at 51. per cent.? Ans. 85l. 14s. 24d.

F