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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?

cwt. $ cut. As 1,4: : 10,09 : :9,75 : 70,269=$70, 26cis. 9m. +

5. If 19 yards cost 25,75 dols. what will 4351 yards come to ?

Ans. $590, 21cts. 7 g mn. 6. If 345 yards of tape cost 5 dols. 17 cents, 5m.

.what will one yārd cost ?

Ans. ,015=lcls. 7. If a man lays out 121 dols. 23 cts, in merchandize, and thereby gains 39,51 dols. now much will he gain in laying out 12 dollars at the same rate ?

Ans. 3,91 dolls.=3, 91cts. 8. How many yards of ribbon can I buy for 25.1dols. if 29 yds. cost 4 dollars ? Ans. 178} yards. 9. If 1781 yds. cost 251 dollars, what cost 29 yards ?

Ans. $4] 10. If 1,6 cwt. of sugar cost 12 dols. 12 cts. what cost 3 hhds. each 11 civt. 3 qrs. 10,12 lb. !

Ans. 269,072 dols.=$269, 7cts. 2m+

per cent.

SIMPLE INTEREST BY DECIMALS.

A TA BLE OF RATIOS..
Rate

Ratio. Rate per cent. Ratio.
3
,03

5

,055 4

6

,06
41
,045

6}

,065
5
,05

7

,07

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,04

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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 to gether, and the last product will be the interest required.

EXAMPLES

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

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52,8625 Ans.=$52,86cts. 2 žın.. 2. What is the interest of 6451. 10s. for 3 years, at 5 per cent. per annum? £645,5 X06X3=116,190=£116 3s. 9d. 2,49%. Ans.

3. What is the interest of 1211. 8s. 6d. for 4 years, at 6 per cent. per annum? Ans. £32 15s. 8d. 1,36qrs.

4. What is the amount of 536 dollars 39 cents. for 13 years at 6 per cent. per annum ? Ans. $584,6651.

5. Required the amount of 648 dols. 50 cts, for 12 yrs. at 54 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 product for a divisor, by which sum divide the amount, and the quotient will be the principal.

EXAMPLES. 1. What principal will amount to1235,975 dollars, in 5 years, at 6 per cent. per annum ? $

,6.X5+1=1,30, 1235,975(950,75 Ans. 2. What principal will annount to 8731. 195. in 9 years, at 6 per cent. per annum? Ans. £567 10s.

3. What principal will amount to 626dois. 6cts. in 12 years, a: 7 per cent? Ans. $340,25=$340,25cls.

4. What principal will amount to 9561. 10s. 4,125d. in 87 years, at 54 per cent. ?

Ans. £645 15s.

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

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

EXAMPLES.

!: At what rate per cent. will 950,75 dols. amount to 1230,975 dols in 5 years.

From the amount = 1235,975
Take the principal = 950,75
950,75 X5=4753,75)285,2250(,06=6 per cent.
285,2250.

Ans. 2. At what rate per cent. will £567 103. amount to 8731. 198. in 9 years ?

Ans. 6

per

cent. 3. At what rate per cent. will 340 dols. 25cts. amount to 626 dols. 6 cts. in 12 years ? Ans. 7 per cent.

4. At what rate per cent. will 6451. 15s. amount t 9561. 10s. 4,125d. in 83 years ? Ans. 51 per cent.

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

the time.

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

EXAMPLES. 1. In what time will 950 dols. 75 cts. amount to 1235 lollars, 97,5 cents, at 6 per cent. per annum? From the amount

$1235,975 Take the principal

950,75

950,75 X0657,0450) 285 2250(5 years, Ans.

285,2250

2. In what time will 5671. 10s. amount to 8731. 198. at 6 per cent. per annum ?

Ans. 9 years. 3. In what time will 340 dols. 25 cts. amount to 626 dols. 6 cts. at 7 per cent. per annum ? Ans. 12 years.

4. In what time will 6451. 15s. amount to 9561. 10s. 4,125d, at 54 per cent. per annun? Ans. 8,75=8 yrs. TO CALCULATE INTEREST FOR DAYS.

RULE. Multiply the principal by the given number of days, and that product by the ratio ; divide the last product by 365 (the number of days in a year) and it will give the Interest required.

Mar.

Ans. $10,53cis. +

£. s. d. qrs.

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

EXAMPLES. 2. What is the interest of 640 dols. 60 cts. for 100 3. Required the interest of 2502. 173. for 120 days at

£. 4. Required the interest of 481 doilars 75 cents, for 5 per cent. per annum ? Ans. £4,1235–41. 2s. 5d. + days, at 6 per cent, per annum? 25 days, at 7 per cent. per annum ? Ans. $2,30cts. 9m. + 360,5 X 146 X,06

365 ,6 per cent. ?

A TABLE, showing the nonier of Days from any day of me month

to the same day of any other month.

FROM ANY DAY OF
Jan. Feb. Mar. Apl. May June July Aug. Sept. Oct. Nov. Dee
Jan. 365334 306 275 245 214 184 153 122 92

61

3
Feb. 31 365 337 306 276 245 215! 184 153123 92 69

59 28 365| 334 304 273 243 212 181 151! 120 90
Apl. 901 59| 31/ 365 335 304 2741 243 2121 152 151! 12
May 120

89 61
June 151] 120 92 61 311 365 335 304! 273 243 212 189
July 181 150 122 61 301 365 334 303 273 242 213
Aug. 2121 1811 153j 122 921 611 31; 3651 3341 3042731 242
Sept. 243 212 184 153 123 91 62 31 365 335 304 274
Oct. 273 242! 214, 183 153 122!

92

61 30 365, 334, 30-1 Nov. 304 273 246 214) 184 153 123 92 61 311 365, 335 Dec. 334 303 275 244 214 183 153 122 91 611 30365

30 365 334 304 273 242 212 181 159

91

When interest is to be calculated on cash accounts, &e. where partial payments are made ; multiply the several balances into the days they are at interest, then multiply 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 on demand, dated 1st of June, 1800, 2000 dollars, of which I received back the 19ih 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 per cent. ? 1800

dolls. Ilays. products. June 1, Principal per bill, 2000 79 | 158000 August 19, Received in part, 400

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Balance, 1600 October 15, Received in part, 600

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Balance, 1000 December 11, Received in part, 400

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1801

Balance, 600 February 17, Received in part, 200

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

Then 388600.

388600 ,06 Ratio

$ cts. M. 365)23316,00(63,879 Jns.=63 87 9+ The following Rule for computing interest on any nole, w obligation, when there are payments 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 pay

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