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9. What is the neat weight of 40 barrels of anchovies, each 33 lb. gross, tare 10 lb. per cwt? Ans. 12021 lb.

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. tret 4lb. per 104 lb. what is the neat weight?

Ans. 646cwt. 1qr. 23 lb. 11. In 17 cwt. 3 qrs. 12 lb. gross, tare 68 lb. tret 4lb. per 104 lb. how much neat weight? Ans. 16cwt. 2qrs. 2lb. 12. In 354 cwt. 1qr. 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 suttle, the remainder is neat.

3 cwt..

EXAMPLES.

13. What is the neat weight of 139 cwt. 1 qr. 22 lb. gross, tare 8 lb. per cwt. tret 4 lb. per 164 lb. and cloff 2 lb. per Ans. 123 cwt. 3 qrs. 1lb. 14. In 9 cwt. 3 qrs. 14 lbs. gross, tare 17 lb. per cwt. tret 4lb. per 104 lb. cloff 2 lb. per 3 cwt. how much neat? Ans. 7 cat. 3 qrs. 24 lb. 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 16.

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 for 1 year.

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 again by the time either in years, months, weeks or

days, and this last product divided by 100 when the time is in years, by 100×12 when in months, by 100×52 when in weeks, and by 100×365 when in days. The quotient will be the interest, which added to the principal is the amount.

EXAMPLES.

1. What is the interest of 230/. 10s. for 1 year at 6 per cent? Ans. 13l. 16s. 7.206.

2. What is the interest of $789 for 1 year at 7 per cent ?

Ans.

$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 211/. 5s. for 1 year, at 7 per cent? Ans. 14/. 15s. 9d.

Ans. $185 76 cts.

5. Cast up the interest of 3441. 17s. 6d. for 5 years at 6 per cent. per annum ? Ans. 103/. 9s. 3d. 6. Required the interest of 5501. for 4 years at 7 per cent. per annum? Ans. 1547. 7. Tell me the interest of $619 20 cts. for 5 years at 6 per cent. per annum ? 8. What will $584 amount to in 3 years per annum? 9. What is the amount of 4401. for 7 years per annum? 10. What sum will 5677. 10s. amount to in 9 years at 6 per cent. per annum? Ans. 8731. 19s. 6s. 8d. for 3 years at 6

11. What is the interest of 5841. per cent. per annum?

12. What is the interest of 4381. 6 per cent. per annum ?

at

per cent.

Ans. $689 51 cts.

at 7 per cent. Ans. 6551. 12s.

Ans.. 131/. 9s. 6d. 14s. 6d. for 12 years at Ans. 3291. Os. 10d.

13. What is the interest of 317. 16s. for 5 Ans. 1277. 188. 3d.

per cent. per annum?

years, at 7

1-2 grs.

100

14. What will be th terest of 172/. 10s. for 7 months,. at 7 per cent. per annum? Ans. 71. Os. 101.

Note-When the rate is 6 per cent. multiply the principal by half 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 5 months, at 6 per cent. per annum?

16. The interest of 3517. 1s. for 9

per annum, is required?

Ans.

Ans. $83 5 cts. months, at 6 per cent. 161. 138. 7d. 3-80% grs.

88

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

per annum?

Ans. $4 1049 cts.

18. What is the interest of 1262. 12s. for 16 weeks, at 6 Ans. 21. 68. 966 d. per cent per annum ? 19. What is the amount of 5001. for 20 weeks, at 7 per cent per annum? Ans. 513. 9s. 2d. 3-grs. 20. What is the interest of 3781, 3s. 84d. for 275 days, at 6 per cent per annum ? Ans. 17. 18. 11-1925 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

73 Swill quote the inter-100 principal by 100 Zest at 5 per cent for

73

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time take parts

6d. for 53 days, 3-8524 36300grs. from the 3d

21. How much is the interest of 150l. 158. at 7 per cent per annum? Ans. 17. 10s. 7d. 22. What will be the interest on 1337. 6s. 8d. of April to the 25th of February at 7 per cent. per annum ? Ans. 81. 78. 8d. 3265grs. 23. How much is the interest of 133/. 6s. 8d. from the 10th of May to the 30th of August at 6 per cent. per annum ? Ans. 21. 98. 1d.

24. How much is the interest of $700 for 1 year and 73 days Ans. $50 40 cts.

at 6 per cent. per annum ?

25. What is the interest of 3717. for 1 year and 213 days, at 6 per cent. per annum? Ans. 351. 58. 073000.

26. Let us suppose a bill of 170/, was due in England Aug. 12th, that 54/. was paid on Sept. 18th. 56/: on Oct. 17th and the balance on Nov. 14th. Required the interest due ? Ans 17. 11s. Old.

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 17457. 12s. 9d. what is the commission at 5 per cent? Ans. 871. 5s. 7d. 2.6 qrs. 2. A factor buys and ships off for his employer, goods to the value of 78647. 16s. 8d. what will his commission come to at 2 per cent? Ans. 1967. 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. 4s. 3d. What will be the mount of his bill including commission at 5 per cent? Ans. 17107. 13s. 6d.

5. A. B's sales per the Jupiter amount to 675l. 18s. 8d. What is the commission at 8 per cent ?

Ans. 54l. 1s. 5d. 3.68 qrs.

6. If a merchant of Albany, grant a draft on New-York for $4835, and be allowed 1 per cent in name of premium or commission; what will that amount to?

Ans.

$66 48 cts.

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?

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11210×3

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2. What is the brokerage on $784 at per cent?

Ans. $4.90 cts. 3. What is the brokerage on 4767. 12s. 9d. at 63. 8d. per cent ? Ans. 11. 118. 9d. 1-2 grs.

100

4. What will the brokage on 8347. 18s. 4d. come to at 5%. 6d. per cent? Ans. 21. 58. 11d. 0110 grs.

PURCHASING OF STOCKS.

RULE-AS in Simple Interest.
EXAMPLES.

18

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

Ans. $2511 75c.

2. What is the purchase of 5751. 10s. stock at 1313 per Ans. 7581. 48. 5d.

cent ?

3. What sum will purchase $800 stock at 1247 per cent? Ans. 8999 4. Required the sum that will purchase $4039 stock at 94 per cent? Ans. $3796 66c.

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 interest at the given rat per cent. would amount in the time

equal to the sum.

1. Given, 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 100%. 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. 702.

Ans.

Ans.

$30.

2. How much is the discount of $530, due in 9 months, at 8 per cent. per annum? 3. How much is the rebate of 308/. 15s. in 21 months, at 8 per cent. per annum? 37. 18s. 4d. 4. How much is the rebate of 45l. 15s. 6d. for 1 year, at 6 per cent ? Ans. 21. 11s. 9d. 313 grs.

Ans.

42

II. Given, the sum to be discounted, rate per cent. and time, to find the present worth.

RULE-AS the amount of 1007. or dollars, for the given rate and time: is to 1007. 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 ?

1095

Ans. $1035 61-70 cts. 6. Required the present worth of 7957. 11s. 2d. due in 11 months, at 6 per cent. per annum ?

Ans. 7541. 18. 8d. 096 960 2332 grs. 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. $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. $300.

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. $900.

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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