Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

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

cwt. As 1,4

[blocks in formation]

10,09: : 9,75: 70,269=$70, 26cts. 9m.+ 5. If 19 yards cost 25,75 dols. what will 435 yards come to ? Ans. $590, 21cts. 7m. 6. If 345 yards of tape cost 5 dols. 17 cents, 5m. what will 1 yard cost? Ans. ,015-14cts. 7. If 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, 91cts. 8. How many yards of ribbon can I buy for 25 dols. if 29 yds. cost 44 dollars? Ans. 1784 yards. 9. If 178 yds. cost 25 dollars, what cost 29 yards? Ans. 841 10. If 1,6 cwt. of sugar cost 12 dols. 12 cts. what cost 8 hhds. each 11 cwt. 3 qrs. 10,12 lb. P

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

SIMPLE INTEREST BY DECIMALS.

A TABLE OF RATIOS.

[blocks in formation]

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 together, 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 ?

[blocks in formation]

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 6 per cent. per annum ? £645,5X06×3-116,190-116 3s. 9d. 2,4qrs. Ans. S. What is the interest of 1211. 88. 6d. for 4 years, at 6 per cent. annum per ? Ans. £32 15s. 8d. 1,36qrs. 4. What is the amount of 536 dollars 39 cents, for 14 years at 6 per cent. per annum ? Ans. 8584,6651. 5. Required the amount of 648 dols. 50 cts. for 123 yrs. at 5 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.

5

EXAMPLES.

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

[ocr errors]

$

,06x5+1=1,30)1235,975(950,75 Ans. 2. What principal will amount to 873l. 19s. in 9 years, at 6 per cent. per annum ? Ans. £567 10s. 3. What principal will amount to 626 dols. 6 cts. in 12 years, at 7 per cent. ? Ans, $340,25-$340, 25cts. 4. What principal will amount to 9561. Os. 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.

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

[blocks in formation]

285,2250

950,75×5-4753,75)285,2250(,06-6 per cent.

Ans.

Ans. 6 per cent.

2. At what rate per cent. will 5671. 10s. amount to 875l. 19s. in 9 years? 3. At what rate per cent. will 340 dols. 25 cts. amount to 620 dols. 6 cts. in 12 years?

4. At what rate per cent. will 956l. 10s. 4,125d. in 83 years?

CASE IV.

The amount, principal, and rate per

the time.

RULE.

Ans. 7 per cent. 645l. 15s. amount to Ans. 5 per cent.

cent. given, to find

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

2. In what time will 5671. 10s. amount to 873l. 198. Ans. 9 years.

at 6 per cent. per annum ?

3. In what time will $40 dols. 25 cts. amount to 626 dols. 6 cents at 7 per cent. per annum ? Ans. 12 years.

4. In what time will 6451. 15s. amount to S56l. 10s. 4,125d. at 51 per ct. per annum ? Ans.8,75-82 years.

TO CALCULATE INTEREST FOR DAYS.
RULE.

Multiply the principal by the given number of dav». and that product by the ratio; divide the last produci $65 (the number of days in a year) and it will give the terest required.

EXAMPLES.

1. What is the interest of 360l. 10s. for 146 days, at 6 per cent. ?

360,5×146x,06

365

£.

£. s. d. grs.

=8652=8 13 0 1,9 Ans.

Ans. $10,53cts.+ Ans. £4,1235-4l. 2s. 5jd.+ 3. Required the interest of 250l. 17s. for 120 days at 2. What is the interest of 640 dols. 60 cts. for 100 days *4. Required the interest of 481 dollars 75 cents, for 25 days, at 7 per cent. per annum? Ans. 82, 30cts. 9m.+ at 6 per cent. per annum ? 5 per cent. per annum ?

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

FROM ANY DAY OF

[ocr errors]

Jan. Feb. Mar Ap'l. May June July Aug. Sept. Oct. Nov Dec.
Jan. 565 334 306 275 245 214 184 153 122 92 61
Feb. 31 365 337 306 276 245 215 184 153 123

62

92

Mar 59

28 $65 334 304 273 243 212 181 151 120

106

Ap'l. 90

59

May 120

31 365 335 504 274 243 212 182 151 121
89 611 SO 365 334 304 273 242 212 181 151;
June 151 120 92 61

31 365 335 304) 273 248 212 182

July 181 150 122

91

61

30 365 334 305 273 242 212

Aug. 212 181 153 122

Sept 243 212 184 153 123

Oct. 275 242 214 183 153 122
Nov 304 273 246 214 184 153 123

Dec. 3$4 3035 275 244 214 183 153 122

[blocks in formation]

- 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. ?

[blocks in formation]

dolls. days. products

[blocks in formation]
[merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small]

1801, February 17, Received in part, 200

Balance,

600 68 40800

[blocks in formation]

365)23316,00(68,879 Ans. 63 87 9+ The following Rule for computing interest on any note, or obligation, when there are payments in part, or endorse ments, was established by the Superior Court of the State of Connecticut, in 1784.

RULE.

"Compute the interest to the time of the first pay.

« ΠροηγούμενηΣυνέχεια »