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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. As 1,4

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10,09: :9,75: 70,269=g70, 26cts. 9m.+ 5. If 19 yards cost 25,75 dols. what will 435 yards Ans. $590, 21cts. 72 m.

come to ?

Ans. ,015

6. If 345 yards of tape cost 5 dols. 17 cents, 5m, what will one yard cost? 1cts. 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 dols. if 293 yds. cost 44dollars? Ans. 178 yards. 9. If 178 yds. cost 25 dollars, what cost 293 yards?

Ans. $41

10. If 1,6 cwt. of sugar cost 12 dols. 12 cts. what cost 3 hhds. each 11 cwt. 3 qrs. 10,12 lb. ?

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

SIMPLE INTEREST BY DECIMALS.
A TABLE OF RATIOS..

Rate per cent. | Ratio.

Rate

per cent.

Ratio.

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Ratio is the simple interest of 11. 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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10,5725 Interest for one year.
5 Multiply by the time.

52,8625 Ans.=$52,86cts. 24m..

2. What is the interest of 645l. 10s. for 3 years, at 5 per cent. per annum? £645,5X06X3=116,190=£116 3s. 9d. 2,4qrs. Ans. 3. What is the interest of 1211. 8s. 6d. for 4 years, at Ans. £32 15s. 8d. 1,36qrs. 4. What is the amount of 536 dollars 39 cents. for 1 years at 6 per cent. per annum ? 5. Required the amount of 648 yrs. at 5 per cent. per annum ?

6 per cent. per annum?

CASE II.

Ans. $584,6651. dols. 50 cts. for 123 Ans. $1103, 26cls.

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 ? $

$

,6×5+1=1,30, 1235,975(950,75 Ans. 2. What principal will amount to 8731. 19s. in 9 years, at 6 per cent. per Ans. £567 10s. annum? 3. What principal will amount to 626dols. 6cts. in 12 years, at 7 per cent? Ans. $340,25=$340,25els.

4. What principal will amount to 956l. 10s. 4,125d. in 8 years, at 5 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.

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

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285,2250.

950,75X5-4753,75)285,2250(,06=6 per cent.

Ans.

2. At what rate per cent. will £567 10s. amount to 8731. 19s. in 9 years? 3. At what rate per cent. will 340 dols. 25cts. amount

to 626 dols. 6 cts. in 12 years?

Ans. 6 per cent.

Ans. 7 per cent.

4. At what rate per cent. will 645l. 15s. amount 9567. 10s. 4,125d. in 83 years?

CASE IV.

Ans. 5 per cent.

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

Take the principal

$1235,975

950,75

950,75 X-06-57,0450)285 2250(5 years, Ans

285,2250

2. In what time will 5671. 10s. amount to 8731. 19s. Ans. 9 years.

at 6 per cent. per annum ?

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 5 per cent. per annum? 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.

EXAMPLES.

1. What is the interest of 3601. 10s. for 146 days, at

6 per cent.?

360,5X146X,06

£. s. d. grs.
-=8652-8 13 0 1,9 Ans.
£.

365

Ans. $10,53cls.+ 3. Required the interest of 250l. 17s. for 120 days at 4. Required the interest of 481 dollars 75 cents, for 5 per cent. per annum? Ans. £4,1235—41. 2s. 5 d. + 25 days, at 7 per annum? Ans. $2,30cts. 9m.+

2. What is the interest of 640 dols. 60 cts. for 100 'days, at 6 per cent, per annum ?

per

cent.

A TABLE, showing the number of Days from any day of one month, to the same day of any other month.

FROM ANY DAY OF

Jan. Feb. Mar. Ap'l. May June July Aug. Sept Oct. Nov. Dec.
Jan. 365 334 306 275 245 214 184 153 122 92 61 31
Feb. 31 365 337 306 276 245 215 184 153 123 92

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62
28 365 334 304 273 243 212 181 151 120 90
59 31 365 335 304 274 243 212 182 151 121

May 120

89 61

30 365 334 304 273 242 212 181 151. 242

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July 181 150 122

Aug. 212 181 153 122

Sept. 243 212 184 153 123 91

Oct. 273 242 214 183 153 122 92
Nov. 304 273 246 214 184 153 123
Dec. 334 303 275 244 214 183 153 122

91

61

30 365 334 303 273 242 212

92

61

31 365 3341 304 273 243)
62 31 365 335 304 274
61

30 365 334, 304;

92 61

31 365 335

91

61 30 365

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 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 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 per cent. ?

1800

June 1, Principal per bill,
August 19, Received in part,

Balance,

October 15, Received in part,

Balance,

dolls. days. products.

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Balance, 400 104

41600

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

Then 388600
,06

388600

Ratio

$cts. m.

365)23316,00(63,879 Ans.=63 87 9+

The following Rule for computing interest on any note, ur 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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