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EXAMPLES.

1. How much shalloon that is yard wide, will line 51 yards of cloth which is 13 yard wide?

Yds. yds. yds.

Yds.

As 13:51 And 1XX-335-16, Ans. 2. If a man perform a journey in 33 days, when the day is 12 hours long; in how many days will he do it when the day is but 9 hours? Ans. 44 days.

3. If 13 men in 112 days, mow 21 acres, in how days will 8 men do the same?

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Ans. 1823 days. 4. How much in length that is 73 inches broad, will make a square foot? •

Ans. 20 inches.

5. If 253s. will pay for the carriage of a cwt. 145 miles; how far may 61 cwt. be carried for the same money?

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6. How many yards of baize which is 14 yards w1 te, will line 187 yards of camblet yard wide?

Ans. 11 yds. 1 gr. 1} na.

RULE OF THREE DIRECT IN DECIMALS.

RULE.

Reduce your fractions to decimals, and state your ques tion as in whole numbers; multiply the second and third together; divide by the first, and the quotient will be the answer, &c.

EXAMPLES.

come to ?

1. If of a yard cost of a pound; what will 15 yards 7,875,7,583+ and 2,75 Yds. £. £. s. d. grs.

Yds. £. As,875,583 :: 15,75: 10,494–10 9 10 2,24 Ans 2. If 1 pint of wine cost 1,2s. what cost 12,5 hhds?

Ans. £378

3. If 41 yards cost 3s. 44d. what will 30 yards cost? Ans. £1 4s. 3d. 3 qrs.+

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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?

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As 1,4 :: 10,09 :: 9,75: 70,269=$70, 26 cts. 9 m.+ 5. If 19 yards cost 25,75 dollars, what will 435 yards come to ? Ans. $590, 21 cts. 72 m. 6. If 345 yards of tape cost 5 dols. 17 cents, 5 m., what will one yard cost? Ans. ,015-1 cts. 7. If a man lay out 121 dollars 23 cts. in merchandise, and thereby gains 39,51 dollars, how much will he gain in laying out 12 dollars at the same rate?

Ans. $3,91=$3, 91 cts. 8. How many yards of riband can I buy for 25 dols. if 293 yards cost 41 dollars? 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, 7 cts. 2 m.+

SIMPLE INTEREST BY DECIMALS.

A TABLE OF RATIOS.

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Ratio is the simple interest of 17. 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?

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10,5725 interest for one year.
5 multiply by the time.

52,8625 Ans.=$52, 86 cts. 21 m.

2. What is the interest of 6457. 10s. for 3 years, at 5 per cent. per annum?

£645,5×06×3=116,190=£116 3s. 9d. 2,4 qrs. Ans. 3. What is the interest of 1217. 8s. 6d. for 4 years, at 6 per cent. per annum? Ans. £32 15s. 8d. 1,36 qrs. 4. What is the amount of 536 dollars, 39 cents, for 11 years, at 6 per cent. per annum? Ans. $584,6651. 5. Required the amount of 648 dollars 50 cents for 123 years, at 51 per cent. per annum ? Ans. $1103, 26 cts.

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 to 1235,975 dollars, in 5 years, at 6 per cent. per annum? $

$

,66×5+1=1,30, 1235,975(950,75 Ans.

2. What principal will amount to 8737. 19s. in 9 years, at 6 per cent. per annum?

Ans. £567 10s.

3. What principal will amount to $626, 6 cents in 12 77 years, at per cent.?

4. What principal will 83 years, at 51 per cent.?

Ans. $340,25-$340, 25 cts. amount to 9567. 10s. 4,125d. in 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 dollars amount to 1230,975 dollars in 5 years?

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285,2250 Ans.

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

2. At what rate per cent. will 5677. 10s. amount to 8737.

19s. in 9 years?
3. At what rate per cent. will 340 dols. 25 cts amount to
626 dols. 6 cts. in 12 years?

Ans. 6 per cent.

Ans. 7 per cent.

Ans. 51 per cent.

4. At what rate per cent. will 6457. 15s. amount to 9561. 10s. 4,125d. in 83 years?

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 annum ?

From the amount

Take the principal

$1235,975

950,75

950,75X06-57,0450)285,2250(5 years, Ans.

285,2250

2. In what time will 5671. 10s. amount to 8731. 19s. at

Uper cent. per annum?

3. In what time will 340 dols. 25 cts. cls. 6 cts. at 7 per cent per annum?

Ans. 9 years. amount to 626 Ans. 12 years.

4. In what time will 6457. 15s. amount to 9567. 10s. 4,125d. at 51 per ct. per annum? Ans. 8,75-83 years.

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TO CALCULATE INTEREST FOR DAYS.

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

EXAMPLES.

1. What is the interest of 3607. 10s. for 146 days, at 6 pr. ct.?

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Ans. $10, 53 cts.+ Ans. £4,1235=41. 2s. 51d.+ 3. Required the interest of 2507. 17s. for 120 days, at 5 4. Required the interest of 481 dollars 75 cents, for 2 days, at 7 per cent. per annum? Ans. $2,30 cts. 9m.+ per cent per annum?

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

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

Feb.

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
31 365 337 306 276 245 215 184 153 123 92 62
59 28 365 334 304 273 243 212 181 151 120 90
59 31 365 335 304 274 243 212 182 151 121

Mar.

Ap'l 90
May 120

89 June 151 120 92 61

July 181 150 122

61

30 365 334 304 273 242 212 181 151

31 365 335 304 273 243 212 182į

91

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Aug. 212 181 153 122

Sept. 243 212 184 153 123

91 62

Oct. 273 242 214 183 153 122 92

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Nov. 304 273 246 214 184 153 123 92

30 365 334| 304)

61

31 365 335|

Dec. 334 303 275 244 214 183| 153| 122| 91 61 30 365

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