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4. If 1,4 cwt. of sugar cost 10 dols. 9 cts. what will 9 cwt. 3 qrs. cost at the same rate ?

cwi. S cut, 8 As 1,4 :: 10,09 : : 9,75 : 70,269=870, 26cts. 9m.-t

5. If 19 yards cost 25,75 dols, what will 435) yards come to ?

Ans. 8590, 21cts. 7-o lil. 6. If 345 yards of tape cost 5 dols. 17 cents, 5ni. what will 1 yard cost ?

Ins. ,015=1 cis. 7. It'a man lays out 121 dols. 23 cts. in merchandize, and thereby gains 39,51 dols. how much will he gain in laying out 12 dollars at the same rate ?

Ans. 3,91 dols.=$3, 91cis. 8. How many yards of ribbon can I buy for 25$ dols. if 291 yds. cost 41 dollars ? Ans. 178.} yards. 9. If 178} yds. cost 25$ dollars, what cost 294 yards ?

Ans. $45 10. If ko cwt. of sugar cost 12 dols. 12 cts. what cost 3 hhds, each 11 cwt. 5 qrs. 10,12 lb. ?

Ans. 269,072 dols;=$269, 7cts. 21. to

SIMPLE INTEREST BY DECIMALS.

A TABLE OF RATIOS. liate per cent. 1 Patio. | Rate per cent. Ratio.

,055 4

6

,06
41
2015

,065
5
,05

7

3

,03 :

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,07

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Ratio is the simple interest of 1l. for one year; or in federal money, of $1 for one year, at the rate per cent.. agreed on.

RULE. Multiply the Principal, Ratio and time continually together, and the last product will be the interest required.

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EXAMPLES.

1. Required the interest of 211 dols. 45 cts. for 5 years, at 5 per cent. per annum ?

8 cts.
211,45 Principal.

,05 Ratio.

2. 9731

3. 86

4. 9561

The

6 per

cent.

years at 6

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10,5725 Interest for one year.

5 Multiply by the time.

52,8625 Ans. $52, 86cts. 24m. 2. What is the interest of 6451. 10s. for 3 years, at 6 per cent. per annum ? £645,5 X06x3=116,190=£116 3s. 9d. 2,4grs. Ans. 3. What is the interest of 121l. 83. 6d. for 45 years, at cent.

per

annun? Ans. £32 15s. 8d. 1,36qrs. 4. What is the amount of 536 dollars 39 cents, for 1} per per annum?

Ans. $584,6651.
5. Required the amount of 648 dots. 50 cts. for 194 yrs.
at 55 per cent.

per
annum ? Ans. $1103, 26cts. +

CASE II.
The amount, time and ratio given, to find the principal.

RULE.
Multiply the ratio by the time, add unity to the pro-
duct for a divisor, by which suin divide the amount, and
the quotient will be the principal.

1. What principal will amount to 1235,975 dollars, in 5 years, at 6 per cent. per annum? $

,06X5+1=1,50) 1935,975(950,75 Ans. 2. What principal will amount to 875l. 198. in 9 years, at 6 per cent. per annum?

Ans. 567 ios. S. What principal will amount to 626 dols. 6 cts. in 12 years, at 7 per cent..?

Ans. SS40,25=$340, 25cts.
4. What principal will amount to 9561. iOs. 4,1250.
in 81 years, at 54 per cent. ? Ans. £ 645 15s.

CASE III.
The amount, principal and time given, to find the ratio.

RULE.-Subtract the principal froin the amount, divide the remainder by the product of the time and prinopal, and the quotient will be the ratio.

EXAMPLES.

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EXAMPLES.

1. At what rate per'cent. will 950,75 dols. amount to 1235, 975 dols. in 5 years !

per ceni

From the amount = 1235,975
Take the principal

950,75
950,75 X5 =4753,75)285,2250(,066 perc

285,2250 2. At what rate per cent. will 5671. 10s. amount 8731. 193. in 9 years ?

Ans. 6 3. At what rate per cent. will 340 dols. 25 cts. amo to 62w dols.

6 cts. in 12 years? Ans. 7 per cent 4. At what rate per cent. will 6451. 153. amoun 9561. 108. 4,125d. in 84 years ? Ans. 55 per cent

CASE IV. The amount, principal, and rate per cent. given, to i

the time.

RULE. Subtract the principal from the amount; divide reinainder by the product of the ratio and principal; a the quotient will be the time.

EXAMPLES. 1. In what time will 950 dols. 75 cts. amount to 15 dollars, 97,5 cents, at 6 per cent. per annum?

From the amount $1235,975 Take the principal 950,75 950,75X06=57,0450)285,2250(5 years, Ang.

285,2250

2. In what time will 5671. 10s. amount to 8731. 1 at 67 per cent. per annum?

Ans, 9 years: 3, In what time will 340 dols. 25 cts. amount to 6 dols. 6 cents at 7 per cent. per annum ? Ans. 12?

2 years. 4. In what time will 6451. 15s, amount to 9561. 10 4,125d. at 55 per ct, per annum ? Ans.8,75=8} years.

TO CALCULATE INTEREST FOR DAYS.

RULE. Multiply the principal by the given number of day and that product by the ratio ; divide the last product 365 (the number of days in a year) and it will give ti interest requiredo

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A TABLE, showing the number of Days from uny day of one monih,

to the same day of any other month.

FROM ANY DAY OF

31

Mari

Ans. $10,53cts. + f. s. d. qrs.

=8652=8 13 0 1,9 Ans. 1. What is the interest of 3601. 10s, for 146 days, at 6

EXAMPLES 2. What is the interest of 640 dols. 60 cts. for 100 days

Kins. £4,1235541. 2s. 51d. + int" 3. Required the interest of 250l. 17s. for 120 days at

4. Required the interest of 481 dollars 75 cents, for 25 days, at 7 per cent. per annum ? Sins. $2,30cts. 9m. +

f. 360,5 x 146x,06

365 at 6 per cent. per annum ? 5 per cent. per annum ? per cent. ?

1517

Jan. Feb. Mar Appl. May June July Aug. Sept. Oct. Nov Dec.
Jan. 3651 34 306 2751 245 214 1841 153 122 92 61
Feb. 31/ 365 337 306 276 245 215 184 153 125 921 621
59 28) 365 334 304 273). 245 212 181) 1511 120

90!
Appl. 90 591 31/ 365 535 304 274 245 212 182) 151 121
May 120 89 61 sol 3651 334 304) 278 242 212 181 151,
June 1511 120 92 61 31 365| 335 3041 278 243) 2121 189)
July 181 150 122 91 61 301 365 334 3031 2781 242 212
Aug. 212 181 153 122 92 61 31 365 334 304 275 243
Sept. 243 212 184 153) 125 62 31! 365 335 304 274

Oct. 273 242 214 183 153 122 92 611 301 365 354 304
Noul 304 275 246 214 184 133 129 92 611 31. 8651 335
Dec. 334 SOS! 275 2441 2141 1851 1531 122 911 611 301 365

91

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per cent.

400/

When interest is to be calculated on cash accounts, &c. where partial payments are made ; multiply the several balances into the days they are at interest, then muktiply, the sum of these products by the rate on the dollar, and divide the last product by 365, and you will have the whole interest due on the account,

&c.

EXAMPLES. Lent Peter Trusty, per bill an demand, dated 1st of June, 1800, 2000 dollars, of which I received back the 19th of August, 400 dollars; on the 15th of October, 600 dollars; on the 11th of December, 400 dollars; on the 17th of February, 1801, 200 dollars; and on the 1st of June, 400 dollars; how much interest is due on the bill, reckoning at 6 1809,

dolls. days. products June 1, Principal per bill,

2000 79.1 158000 August 19, Received in part,

Lalance, 1600 57 91200 October 15, Received in part,

1600

Balance, 1000 57 57000 December 11, Received in part,

400 1801,

Balance, 600 68 40800 February 17, Received in part, 200

Balance, 400 | 104 41600 June 1, Rec'd in full of principal, 400

388600 Then 388600 ,06 Ratio.

$ cts. m. 365)23316,00(63,879 Ans. = 65 87 97. The following Rule for computing interest on any note, ar obligation, when there are payntents in part, or endorsements, was established by the Superior Court of the State of Connecticut, in 1784.

RULE. “Compute the interest to the time of the first pag

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