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and sold at one time 2 cwt. 2 qrs. 8 lbs., at another,5 cwt. 15 lbs., and at another, 1 cwt. 3 qrs.; how much remained unseld? A. 2 cwt. 3 qrs. 20 lbs.

7. Multiply był A. . 0. Divide if by [. 9. Multiply by 4. 31. 10. Divide } by. Af=14.

11. There are 4 pieces of cloth, one containing 85 yds., another 167 yds., another 124 yds., and another 7} yds.; how many yards in the 4 pieces ? A. 44 yds. 3 qrs. 3} na.

12. What is the difference between 1 and f? A. $. Between and } ? A. . Between and Bo? A. 16.

13. Reduce # of a guinea to the fraction of a pound. A. 14. What is the value of 003125£. ? A. 3

qrs. 15. How much does ,025 make multiplied by ,325 7-8125. By Této?-6. By 3770?-7675. By 2767-69. By 2510600? -6250125. A. 7,6104875.

16. A farmer seat a load of hay to market, which, with the cart, weighed 29 cwt. 3 qrs. 16 lbs.; the weight of the cart was 102 cwt. ; what did the hay come to, at $15 a ton ?

A. $14,357 +: 17. A merchant bought sugar in a hogshead, both of which weighed 8 cwt. 15 lbs.: the hogshead alone weighed 1 cwt. 1 qr.; what was the cost of the sugar, at 114 cents a pound? A.$86,73%.

The two preceding questions are proper examples in a rule usually termed Tare and Trett.

18. Bought 50 yards of broadcloth for $160,50, but, not proving so good as I expected, I am willing to lose $42 on the sale of it; what must I demand per ell French ? A. $3,555.

19. What is my demand for selling 600 bales of cotton, at $40 a bale, for 2 per cent. commission ?-550125. For 4) per cent. ?-110025. For 7 per cent. ?-171150. For 5% per cent. ?13141875. A. $4676,064.

20. What is the interest of $200,50 for 2 yrs. 6 mo.?-30075. For 5 yrs. 3 mo. 15 days ?-63658. For 6 mo.?-6516. For 1 yr. 3 mo. 19 days ?-15672. A. $115,921.

21. What is the difference between the compound and simple interest of $200 for 1 yr. 6 mo.?-36. For 3 yrs. 4 mo. :-2967. For 2 yrs. 6°mo. 15 days ?-1523. A. $4,85.

22. 'What is the amount of $60 for 10 yrs. 3 mó. 19 days ?9709. For 8 yrs. 9 mo. 9 days ?-9159. A. $188,68.

23. Bought calico for 25 cents a yard; how must I mark it so as to gain 10 per cent. on each yard ?-275. 12 per cent. ?-28. 15 per cent. ?-287. 20 per cent. ?-30. A. $1,142.

A. What is the difference between the discount of $227,66, for 2 yrs. 3 mo. 20 days, and the interest of the same sum for the same time? A. $3,832.

25. Which is the most, the compound interest of $520 for 5 Ts., or the discount of the same sum for the same time?

A. Compound interest, by $55,877. 26. If 300 men, in 6 months, perform a piece of work when the days are 12 hours long, how many men will do the same in 4 months, when the days are only 8 hours long? A. 675 men.

27. What is the difference of time between April 1st, 1826, and June 15th, 1829 ?-3,2,14. Between March 19th, 1829, and August 20, 18267–2,6,29. Between July 5, 1800, and February 16, 1826 -25,7,11. A. 31 yrs., 4 mo., 2 days.

28. What is the interest of $12),60, from June 1, 1828, to June 16, 1829 ?-7537. From May 15, 1824, to August 29, 1830 ?-45506. From October 10, 1825, to November 1, 1828 ?2213. A. $75,173+.

I LXXV. IN COMPUTING INTEREST ON Notes, When a settlement is made within a short time from the date or commencement of interest, it is generally the custom to proceed according to tho following

RULE. Find the amount of the principal, from the time the interest commenced to the time of settlement, and likewise the amount of each payment, from the time it was paid to the time of settlement; then deduct the amount of the several payments from the amount of the principal.

Exercises for the Slate. 1. For value received, I promise to pay Rufus Stanly, or order, Three Hun. dred Dollars, with interest. April 1, 1825. $300

PETER MOSELY.
On this note were the following endorsements :-
Oct. 1, 1825, received $100

Time.
April 16, 1826,

3, 2, 6, 1, 11, 15, 4.
Dec. 1, 1827,

$120 What was due April 1, 1828 ? Ans. $60,733.

CALCULATION. The first principal on interest from April 1, 1825.

$300,00 Interest to April 1, 1828, (36 mo.)...

54,00 Amount of principal..

•$351,00 First payment, Oct. 1, 1825..

$100,00 Interest to April 1, 1828, (30 mo.).

15,00 Second payment, April 16, 1826.

50,00 Interest to April 1, 1828, (23} mo.).

5,87 Third payment, Dec. 1, 1827.

120,00 Interest to April 1, 1828, 14 may..

2,40 Amount of payments deducted.

•$293, 27 Remais due, April 1, 1828....

$60,73

$ 50

CG

2. For value received, I promise to pay Peter 'Trusty, or order, Five Hun. dred Dollars, with interest, July 1, 1825. $500.

JAMES CARELESS
ENDORSEMENTS.
July 16, 1826, reccived $2007

Time.
Jan.
1, 1827,

$ 40
March 16, 1827,

$230 6, 15, 1, 4. What remained dụe July 16, 1828 ? Ans. $75,15. 3. For value received, I promise to pay William Stimpson, or order, One Thousand Dollars, with interest. Jan. 16, 1820. $1000.

PETER CAREFUL.
ENDORSEMENTS.
March 16, 1821, received 3600

Time.
May 1, 1822,

$120 3, 1, 10,
July
16, 1822,

$180

8, 15, 6. What remained due Jan. 16, 1823? Ans. $203,50.

MASSACHUSETTS. RULE. “ Compute the interest on the principal sum to the first time when a payment was made, which, either alone, or together with the preceding payments (if any), exceeds the interest then due; add that interest to the principal, and from the sum subtract the payment, or the sum of the payments, made at that time, and the remainder will be a new principal, with which proceed as with the first principal

, and so on, to the time of settlement.'

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1. For value received, I promise to pay Jason Park, or order, Six Hundred Dollars, with interest. March 1, 1892. $600.

STEPHEN STIMPSON.
ENDORSEMENTS.
May 1, 1823, received $200
June 16, 1821,

$ 80 Time.
Sept. 17, 1825,

$ 12 1, 2, 1, 1, 15, 1, Dec. 19, 1825,

$ 15

8, 15, 1,7, March 1, 1826,

$100

15, 10, 15. Oct. 16, 1827,

$150 What was there due August 31, 1828?

Ans. $194,41. The principal, $600, on interest from March 1, 1822. Interest to May 1, 1823, (14 mo.)...

42,00 Amount..

$642,00 Payment, May 1, 1823, a sum greater than the interest..

200,00 Due May 1, 1823, forming a new principal..

.$442,0 Interest on $442, from May 1, 1893, to June 16, 1824, (13) mo.)....... 29,83

Amount, carried forward.......$471,83

$600,00

.$ 12

Amount, brought forward... $471,83 Payment, June 16, 1824, a surn greater than the interest then due..... 80,00 Due June 16, 1824, forming a new principal...

. $391,83 Interest on $391,83, from June 16, 1824, to March 1, 1826, (204 mo.)... 40,16

$431,99 Payment, a sum less than the interest then due... Payment, a sum less than the interest then due.

.$ 15 Payment, a sum greater than the interest then due..

. $100

$127,00 Duo March 1, 1826, forming a new principal...

$504,99 Interest on $304,99, from March 1, 1826, to Oct. 16, 1827, (19, no.)... 29,73

Amount,

$334,72 Payment, Oct. 16, 1827, a sum greater than the interest then due..... 150,00 Due Oct. 16, 1897, forming a new principal....

$184,72 Interest on $184,72, from Oct. 16, 1827, to August 31, 1828, being the time of seitlement, (10. mo.)...

9,69 Balance duo Aug. 31, 1828....

$194,41 2. For value received, I promise to pay Asher L. Smith, or order, Nine Hundred Dollars, with interest. June 16, 1820. $900.

William MORRIS,
ENDORSEMENTS,
July 1, 1821, received $150 Time.
Sept. 16, 1822

$ 99

1, 15, 1, Dec, 10, 1824,

$ 10 2, 15, 2, June 1, 1825,

$ 20

ll, 1, 6, Aug. 16, 1825,

15, 1, 6. March 1, 1827,

$300 What remained due Sept. 1, 1828? Ans. $183,07.

66

$200

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CONNECTICUT Rule.
Established by the Supreme Court of the State of Connecticut in 1804.

“ Compute the interest to the time of the first payment; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the in terest on the balance due to the next payment, and then deduct the payment as above; and, in like manner, from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more. But if any payments be made before one year's interest hath accrued, then compute the

18 *

interest on the principal sum due on the obligation, for one year, add it to the principal, and compute the interest on the sum paid, from the time it was paid up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest, added as above.*

“ If any payments be made of a less sum than the interest arisen at the time of such payment, no interest is to be computed, but only on the principal sum for any period.”

$ 87

60

6, 10.

1. For value received, I promise to pay Peter Trusty, or order, One Thousand Dollars, with interest." June 16, 1824. $1000.

JAMES PATWELLA
ENDORSEMENTS.,
July 1, 1825, received $250 Time.
Aug. 16, 1826,

$157 1, 15, 1, 1, 15,
Dec. 1, 1826,

1, 8, 15, 6, Feb. 16, 1828,

$218 What was due August 26, 1828 ? Ans. $507,86.

$1000,00 principal of the note.

62,50 interest to July 1, 1825, (12 months.) $1062,50 amount.

250,00 lst payment deducted.
$812,50 due July 1, 1825.

54,84 interest to August 16, 1826, (13} months.)
$867,34 amount.
157,00 20 payment dedueted.
$710,34 due August 16, 1826.

42,62 interest for 1 year.
$752,96
90,69

amount of 3d payment to August 16, 1827 (the and

of the year), being 84 months.
$662,27 due August 16, 1827.

19,86 interest to February 16, 1828, (6 months.)
$682,13 amount.
218,00 4th payment.
$164,13 due February 16, 1828.

14,69 interest to August 26, 1828, (6f months.)
$478,82 due August 26, 1828, the time of settlement.

* If a your does not extend beyond the time of payment; but if it does, then find the amount of the principal, remaining unpaid, up to the time of settlement, likewise the amount of the payment or payments from the time they were jaid to the time of settlement, and deduct the sum of these several amounts from the amount of the principal,

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