EXAMPLES.

1. How much shalloon that is yard wide, will line 54

yards of cloth which is 14 yard wide ?

Ids. ydş. yds.

Yds.

As 1:5:: And××==16 Ans. 2. If a man perform a journey in 3 days, when the day is 12 hours long; in how many days will he do it

when the day is but 9 hours.

Ans. days.

3. If 13 men in 113days, mow 214 acres, in how many

days will 8 men do the same.

Ans. 1823 days.

4. How much in length that is 74 inches broad, will

make a square foot ?

Ans. 20 inches.

5. If 254s. will pay for the carriage of an cwt. 1454 miles; how far may 6 cwt. be carried for the same money? Ans. 222 miles. 6. How many yards of baize which is 14 yards wide, will line 187 yards of cambletyd. wide?

Ans. 1lyds. 1qr. 14 na.

RULE OF THREE DIRECT IN DECIMALS.

RULE.

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

EXAMPLES.

12

1. If of a yd. cost of a pound; what will 15 yds. 7,875,583+and =,75 Yds. £. £.'s. d. grs.

come to ? 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 4łyds. cost 3s. 44d. what will 30 yds. cost ? Ans. £.1 4s. 3d. 3qrs.+

4

cwt.

4. If 1,4 cwt. of sugar cost 10 dols. 9 cts. what will 9 cwt. 3 qrs.cost at the same rate? cwt. 8 As 1,4 : : 10,09: : 9,75: 70,269=870, 26cts. 9m.+ 5. If 19 yards cost 25,75 dols. what will 435 yards come to ? Ans. 8590, 21cts. 7m. 6. If 345 yards of tape cost 5 dols. 17 cents, 5m. what will 1 vard cost? Ans. 2015=1&cts. 7. Ifa 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 ribbon can I buy for 25 dols. if 29 yds. cost 4+ dollars ? Ans. 1784 yards. 9. If 178 yds. cost 25 dollars, what cost 294 yards? Ans. 844

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.

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?

$cts.
211,45 Principal.
,05 Ratio.

10,5725 Interest for one year.
5 Multiply by the time.

52,8625 Ans.=852, 86cts. 2m.

2. What is the interest of 645l. 10s. for 3 years, at 6 per cent. per annum ?

£645,5×06×3=116,190=£116 3s. 9d. 2,4qrs. 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 11 years, at 6 per cent. per annum ? Ans. $584,6651 5. Required the amount of 648 dols. 50 cts. for 12 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 principai.

EXAMPLES.

1. What principal will amount to 1235,975 dollars, in 5 years, at 6 per cent. per annum? 8 8

,06×5+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. $340,25-8340, 25cts. 4. What principal will amount to 956l. 10s. 4,125d. in 84 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 to 1235,975 dols. in 5 years ?

1

950,75×5=4753,75)285,2250(,06=6 percent

285,2250

Ans.

2. At what rate per cent. will 5671. 10s. amount to

873l. 19s. in 9 years?

Ans. 6 per cent.

3. At what rate per cent. will 340 dols. 25 cts. amount

to 626 dols. 6 cts. in 12 years?

Ans. 7 per cent.

4. At what rate per cent. will 645l. 15s. amount to

956l. 10s. 4,125d. in 84 years ?

Ans. 5 per cent.

CASE IV.

The amount, principal, and raté 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 $1235,975 Take the principal 950,75

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

285,2250

2. In what time will 5671. 10s. amount to 8731. 19s. at 6 per cent. per annum ? Ans. 9 years. 3. In what time will 340 dols. 25 cts. amount to 626 dols. 6 cents at 7 per cent. per annum ? Ans. 12 years. 4. In what time will 645l. 15s. amount to 956l. 10s.. 4,125d. at 5 per ct. per annum ? Ans.8,75=84 years.

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 înterest required.

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

360,5×146×,06 £. £.s.d. qrs.

-8652-8 13 0 1,9 Ans.

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

cent. per