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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 ?

cut. $ cwt. $ As 1,4 :: 10,09 : : 9,75 : 70,269=870, 26cts. 9in. +

5. If 19 yards cost 25,75 dols. what will 4354 yards come to?

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

Ans. ,015=1fcts. 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.=83, 91cts. 8. How many yards of ribbun can I buy for 251 dols. if 294 yds. cost 41 dollars ? Ans. 1784 yards. 9. If 1784 yds. cost 25$ dollars, what cost 297 yards ?

Ans. 841 10. If 1,6 cwt. of srigar cost 12 dols. 12 cts. what cost 8 hhds. each 11 cwt. 3 qrs. 10,12 lb. ?

Ans. 269,072 dols.=8269, 7cts. 2m. +

SIMPLE INTEREST BYDECIMALS.

A TABLE OF RATIOS.

| Rate

per cent.

,04 2045 205

Rate
per cent. 1
Ratio.

Ratio.
3
,03

51

,055 4

6

,06 65

,065

,07 Ratio is the simple interest of ll. 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 ?

$ cts.
211,45 Principal.

,05 Ratio.

10,5725 Interest for one year.

5 Multiply by the time.

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years at 6

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52,8625 Ans.=852, 86cts. 24m. 2. What is the interest of 645l. 10s. for 3 years, at 6 per cent. per annum ? £645,5*06x3=116,190=£116 38. 9d. 2,4qrs. Ans.

3. What is the interest of 121l. 88. 6d. for 45 years, at 6 per cent.

per

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

per
cent.
per annum ?

Ans. $584,6651.
5. Required the amount of 648 dols. 50 cts. for 127 yrs.
at 5 per cent. per annum ? Ans. $1103, 26cts. +

I 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 sum divide the amount, and
the quotient will be the princiñal.

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

,06x5+i=1,30) 1235,975(950,75 Ans. 2. What principal will amount to 873l. 199. in 9 years, at 6 per cent. per annum?

Ans. £ 567 ios. 3. What principal will amount to 626 dols. 6 cts. in 18

per cent. ? Ans. $540,25=$340, 25cts. 4. What principal will amount to 956l. 10s. 4,123d. in 83 years, at 55 per cent. ?

Ans. £ 645 155.

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

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

EXAMPLES.

years, at 7

EXAMPLES

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

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

Ans. 2. At what rate per cent.' will 5671. 108. amount to 8731. 195. in 9 years ?

Ans. 6

per

cent. 3. At what rate per cent. will 340 dols. 25 cts. amount to 620 dols. 6 cts. in 12 years ? Ans. 7 per cent.

4. At what rate per cent. will 6451. 15s. amount to 956l. 10s. 4,125d, in 81 years ? Ans. 55 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 dollars, 97,5 cents, at 6 per cent. per annuin?

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

285,2250

Ans. 9 years.

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

3. In what time will 340 dols. 25 cts. amount to 626 dols. 6 cents at 7 per cento per annum i Ans. 12 years.

4. In what tiine will 6451. 158. amount to S56l. 10s. 4,125d. at 5per ct. per annum ? Ans.8,75-84 years.

TO CALCULATE INTEREST FOR DAYS.

RULE. Multiply the principal by the given number of dava. and that product by the ratio ; divide the last product ** 4-65 (the number of days in a year) and it will give the terest required.

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

to the same day of any other month.

62

Ans. $10,53cts. +

6. s. d. grs. 1. What is the interest of 360l. 10s. for 146 days, at 6

EXAMPLES.

-8652–8 13 0 1,9 Ans. 2. What is the interest of 640 dols. 60 cts. for 100 days

Ans. £4,1235=4l. 2s. 5jd. + 3. Required the interest of 2501. 17s. for 120 days at 24. Required the interest of 48î dollars 75 cents, for 25 days, at 7 per cent. per annum ? Ans. 82, 30cts. 9m. +

f. 360,5 x 146,06

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

611

FROM ANY DAY OF
Jan. Feb. Mar Apol. May Jrıne July Aug. Sept. Oct. Vou Dec.
Jan. 565 334 306 275 245 214 184 153 122

92 61 S1
Feb. 31) 565) 337 306 276 245 215 184 153 123 92
Mar 59 28365 334 304 273 243 212 181 151 1201

90%
Ap’l. 90

59

31 365 335 504 274 2431 2121 1821 151 121
May 120

89) SO 365 334 304 273 242 212 181 151;
June 151 1201 92 61 31) 365 3351 304) 2731 243 212 1893
July 181 150 122 91 611 30 365 3341 308 273 242 212
Aug. 212 181 153 122 92 61 31/ 365 334 3041 273 243
Sept. 243 212 184 153 123 91 62 31! 365 355 304 274
Oct. 273 242 214 183 153 122 92 301 5651 SS4 504)
Nov s04 275 246 214| 184 153) 123 61/ 31 365| 335
Dec. 334 sos 275 244 214 185 1531 122 91 611 30365

61

92

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 į and on the 1st of June, 400 dollars; how much interest is due on the bill, reckoning at 6 per cent. ? 1800,

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

Balance, 1600 57 91200 October 15, Received in part, 600

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 588600 ,06 Ratio.

$ cts. m. 365)23316,00(65,879 Ans. = 63 87 9+ The following Rule for computing interest on any note, er 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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