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9. What is, the neat weight of 40 barrels of anchovies, each 33 lb. gross, ťare 10 lb. per cwt ? Ans. 1202 162 16.

IV. When tret is allowed with tare. RULE-Subtract the tare, and divide the suttle by 26, the quotient is the tret, which subtract from the suttle, the remainder is neat weight.

EXAMPLES. 10. In 836 cwt. 2 qrs. 17 lb. gross, tare 22 lb.per cwt. treť 4 lb. per 104 lb. what is the neat weight?

Ans. 646cwt. lqr. 23 lb. 11. In 17 cwt. 3 qrs. 12 lb. gross, tare 68 lb. tret 4 lb. per 104 lb. how much neat weight? Ans. 16cwt. 2qrs. 2lb.

12. In 354 cwt. 1 qr. 16 lb. gross, tare 9 lb. per cwt. tret 4 lb. per 104 lb. required the neat weight ?

Ans. 313 cwt. 1qr. 16 lb. V. When cloff is allowed with tare and tret. RULE-Subtract the tare and tret, and divide the suttle by 168, the quotient will be the cloff, which subtract from the şuttle, the remainder is neat.

EXAMPLES. 13. What is the neat weight of 139 cwt. 1qr. 22 lb. gross, tare 8 lb. per cwt. tret: 4 lb. per 104 lb, and cloff 2 lb. per 3 cwt.

Ans. '123 cwt. 3 qrs. 1316. 14. In 9 cwt. 3 qrs. 14 lbs. gross, tare 17} lb. percwt. tret 4 lb. per 104 lb. cloff 2 lb. per 3 cwt. how much neat ?

Ans. 7 cwt. 3 qrs. 243 16. 15. Six hogsheads contain in all 55 cwt. and 261b. gross; tare 30 lb, per hogshead, tret 4 lb. per 104 lb. and cloff 2 lb. per 3 cwt. what will be the neat weight ?

Ans. 51 cwt. 1 qr. 03 lb.

SIMPLE INTEREST. Interest is the premium allowed for the loan of money. The sum lent is called the Principal.

The principal and interest added together is the amount.

The rate of interest is the sum agreed upon between the borrower and lender, to be paid for every £100 or dollars

Interest is also applied to Commission, Brokage, &c. &c. The principal, rate and time given to find the interest, &c.

RULE-Multiply the principal by the rate per cent, the product spain by the time either in years, months, weeks on

for 1 year.

20 100

Ans.

days, and this last product divided by 100 when the time is in years, by 100x12 when in months, by 100 X 52 when in weeks, and by 100X 365 when in days. The quotient will be the interest, which added to the principal is the amount.

EXAMPLES. 1. What is the interest of 2301. 10s. for 1 year at 6 per cent ?

Ans. 131. 168. 72 2. What the interest of $789 for 1 year at 7 per cent ?

$55 23 cts. 3. What is the interest of $1345 for 1 year at 6 per cent ?

Ans. $80 70 cts. 4. Find the interest of 2111. 5s. for 1 year, at 7 per cent ?

Ans. 141. 158. 9d. 5. Cast up the interest of 3441. 178. 6d. for 5 years at 6 per cent. per annum ?

Ans. 1031. 9s. 3d. 6. Required the interest of 5501. for 4 years at 7 per cent. per annum ?

Ans. 1541. 7. Tell me the interest of $619 20 cts. for 5 years at 6 per cent. per annum ?

Ans. $185 76 cts. 8. What will $5841 amount to in 3 years at 6 per cent. per annum?

Ans. $689 511, cts. 9. What is the amount of 4401. for 7 years at 7 per cent. per annum ?

Ans. 6551. 12s. 10. What sum will 5671. 10s. amount to in 9 years at 6 per cent. per annum ?

Ans. 8731. 19s. 11. What is the interest of 5841. 6s. 8d. for 3 years at 6 per cent. per annum ?

ins. 1311. Is. 6d. 12. What is the interest of 4381. 14s. 6d. for 12 years at 6 per cent. per annum ?

Ans. 3291. Os. 10 d. 13. What is the interest of 3172. 16s. for 5 years, at 4 per cent. per annum ?

Ans. 1271. 188. 3d. 1.920 qrs. 14. What will be tl terest of 1721. 10s. for 7 months, at 7 per cent. per annum?

Ans. 71. 0s. 141. Nite--When the rate is 6 per cent. multiply the principal bylali the number of months, and divide by 100, will also give the answer.

15. What will I have to pay for the use of $3020 for 51 months, at 6 per cent. per annum ?

Ans.

$83 5 cts. 16. The interest of 3511. ls. for 91 months, at 6 per cent. per annum, is required ? Ans. 161. 138. 7d. 3-100 qre.

17. What is the interest of $712 for 5 weeks, at 6 per cent. per annum ?

Ans. 84 104 cts,

18. What is the interest of 126l. 12s. for 16 weeks, at 6 per cent per annum ?

Ans. 21. 68. 9-66% d. 19. What is the amount of 5001. for 20 weeks, at 7 per cent per annum ?

Ans. 5131. 98. 2d. 33429r8. 20. What is the interest of 3781, 3s. 8}d. for 275 days, at 6 per cent per annum ? Ans. 171. 18. 1136367 d.

NOTE-When the rate of interest is 5 per cent, multiply the principal by the days, and divide the product by 7300 ; for any other rate take parts. Hence, divide any 2 73 { will quote the inter-) 100 days. For any

an

and principal by S 100 Zest at 5 per cent for S 73 time take parts

21. How much is the interest of 1501. 158. 6d. for 53 days, at 7 per cent per annum ? Ans. 11. 108. 7d. 348,52 4

22. What will be the interest on 1331. 6s. 8d. from the 3d of April to the 25th of February at 7 per cent. per annum?

Åns. 81. 78. 8d. 365grs. 23. How much is the interest of 1331. 6s. 8d. from the 10th of May to the 30th of August at 6 per cent. per annum ?

Ans. 21. 98. 135d. 24. How much is the interest of $700 for 1 year and 73 days at 6 per cent. per annum ?

Ans. S50 40 cts. 25. What is the interest of 3711. for 1 year and 213 days, at 6 per cent. per annum ? Ans. 351. 58. 073 bod.

26. Let us suppose a bill of 1701, was due in England Aug. 12th, that 541. was paid on Sept. 18th. 561. on Oct. 17th and the balance on Nov. 14th. Required the interest due ?

Ans 11. 11s. O d.

3636oqrs.

COMMISSION.
RULE-As in Simple Interest.

EXAMPLES. 1. A factor in London buys, and ships off to his employer in Philadelphia, goods to the value of 17451. 12s. 9d. what is the commission at 5 per cent ? Ans. 871. 58. 7d. 2.6

qrs. 2. A factor buys and ships off for his employer, goods to the value of 78641. 16s. 8d. what will his commission come to at 21 per cent ?

Ans. 1961. 12s. 5d. 3. A factor ships off by his employer's order, goods to. the value of $753 62', cents. What will his commission at 2 per cent. amount to?

Ans. $15 7 cts. 4. A factor ships off for his employer goods to the value of 16291. 45. 31d. What ill be the mount of his bill including commission at 5 per cent ? Ans. 17101, 138, 6d.

5. A. B's sales, per the Jupiter amount to 6751. 188. 8d. What is the commission at 8 per cent ?

Ans.

541. ls. 5d. 3.68 qrs. 6. If a merchant of Albany, grant a draft on New York for 94835, and be allowed li per cent in name of premium or commission; what will that amount to?

Ans. $66 4&fcts.

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BROKERAGE, OR BROKAGE.
RULE-As in Simple Interest.

EXAMPLES. 1. What brokerage must a factor pay to his broker for selLing a cargo of sugar amounting to $11210 at $ per cent ?

11210X3

$42 3: cts. Ans.

100X8 2. What is the brokerage on S784 at per cent ?

Ans. S4 90 cés. 3. What is the brokerage on 476l. 128. 9d. at 63. 8d. per cent ?

Ans. ll. 118. 9d. 1.24 qr8. 4. What will the brokage on 8341. 18s. 4d. come to at 5:. 6d. per cent ?

Ans. 21. 58. lld. 01 qrs.

PURCHASING OF STOCKS.
RULE--As in Simple Interest.

EXAMPLES. 1. What is the purchase of $2550 funded stock at 981 per cent?

Anę. $2511 75c. 2. What is the purchase of 5751. 10s. stock at 1314 per cent ?

Aris. 7531. 49. 5d. Ş. What sum will purchase 8800 stock at 1245 per cent ?

$999 4. Required the sum that will purchase $4039 stock at 94 per cent ?

Ans. S3796 661.c.

Aas.

REBATE AND DISCOUNT Is an allowance made for the payment of money before it becomes due, and is less than interest by the interest of the interest for the given time.

The present worth of any sum is such, that if put to in. terest at the given rate per cent. would amount in the time equal to the sum.

I. Giver, the sum to be discounted, rate per cent. and time, to

find the discount RULE-As the amount of 1001. or dollars, for the given rate and time: is to the interest of 1001. or dollars, for that time : : So is the given sum: to the discount.

EXAMPLES. 1. What is the discount of 5701. due 2 years hence, at 7 per cent. per annum.

Ans. 701. 2. How much is the discount of $530, due in 9 months, at 8 per cent. per annum?

Ans. $30. 3. How much is the rebate of 3081. 158. in 21 months, at 8 per cent, per annum ?

Ans. 377. 18s. 4d. 4. How much is the rebate of 451. 158. 6d. for 1 year, at 6 per cent ?

Ans. 21. 118. 9d. 3106 grs. 'II. Given, the sum to be discounted, rate per cent. and time, to

find the present worth. RULE-As the amount of 1001. or dollars, for the given rate and time: is to 1001. or dollars :: So is the given sum : to the present worth.

EXAMPLES. 5. What is the present worth of $1134, payable in 19 months at 6 per cent. per annum ?

Ans. $1035 61,7005cts. 6. Required the present worth of 7951. 11s. 24. due in 11 months, at 6 per cent. per annum ?

Ans. 7541. 18. 8d. 0,992 qr8. 7. A merchant is indebted $2163 15 cts. payable in 12 months. I demand what sun will discharge the debt, if he pay it at the expiration of 5 months, discounting at the rate of 6 per cent. per annum?

Ans.

8 2090. 8. 'A merchant owes $110, payable in 20 months, and $224, payable in 24 months, the first sum he pays in 5 months, and the other one month after that, discounting at the rate of 8 per cent. per annum. I demand the sum he paid ?

Ans.

8300 9. A. is indebted to B. $432, payable in 1 year, and $580, payable in 2 years ; now as B. wants money immediately and is willing to allow A. a discount of 8 per cent. per annum. I demand the sum that would be required to discharge A's debt to B.?

Ans. 8900.

BANK DISCOUNT. Banks, consider the sum expressed in the note or bill, as a principal on which they calculate interest from the time it

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