What did 2 quarts cost? What did 3 pints? What did 4 gills? A. total, 29 cts, 7 in.

Bought 6 tuns of wine for $500,50 cts. what did 1 pipe cost? A. $41,70 cts. 8 m.

When a merchant compounds with his creditors for 40 cts. on the dollar; how much is A's part, to whom he owes $2500; how much is B's part to whom he owes $1600 ? A. A's $1000. B's $640.

A, failing in trade, owes the following sums, viz. to B. $2600,60, to C. $500, to D. $750,20, to F. $1000, to F. $230 and his property worth $2350,40 cts. he gives up to his creditors; how much does he pay on the dol. and the amount of loss sustained by all? A. A pays 46 cts. 2 m. on the dollar, and the amount of loss is $2730,40 cts.

Bought 4 tierces of rice, each weighing 7 cwt. 2 qrs. 16 lb.; what do they come to at $9,35 cts. per cwt.? At $2,50 cts. per qr.? At 10 cts. per lb. ? A. total, $933,95 cts.+

Bought by estimation, 300 yards of cloth for $450,60 cents, but by actual measurement, there were no more than 275 yards, 2 qr.; for how much must I sell the measured yards per yd, so as to neither make or lose? How much must I sell 20 yds. for, so as to lose nothing? How much 25 yds. 2 qrs.? How much 30 yds, 1 qr. 3 na.? A. total, $125,83 cts. 5 m.

Suppose a tax of $1000 be levied on a town, and the amount of all the property assessed in town is $12000; what must the following persons pay, whose estates are valued as follows, viz. A's $1689, B's $2400, C's 1836, D's $1560, E's $230, and F's 156 ? A. total, $655,91 cts. 6 m.+

A merchant in Providence bought in Charleston 400 bales of cotton, each weighing 260 pounds for 13 cts. per lb. paid for transportation to Providence 60 cts. per bale, storage for 6 mo. 50 cts, per bale, for truckage 25 cts. per bale, Auction duties $2 on $100, upon the whole amount of sales, which were at the rate of 12 cts. per lb.; how much did the loss on the whole, including all the expenses above stated, amount to? A. $1829,60.

If a staff 6 feet long cast a shade on level ground 9 feet; what is the height of that steeple whose shade measures at the same time 194 feet? A. 1291 feet.

If $100, gain $6 in a year; how much will $20 gain in the same time? How much will $70? How much will $160? How much will $300? How much will $1000? A. total, 93 dols.

A ship and cargo, valued at $25000 is owned as follows,

viz. the captain owns 2, the mate, 12 midshipmen & and the remainder is to be divided equally among 32 sailors; what is each sailor's part? A. $117, 18 cts. 7 m.

RULE OF THREE INVERSE.

To what questions does the Rule of Three Inverse relate ? A. Questions in which more requires less, and less requires

more.

When does more require less? A. When the third term is more than the first, and requires the fourth term or answer to be less than the second.

When does less require more? A. When the third term is less than the first, and requires the fourth to be more than the second.

RULE.-How do you state the sums? A. As in the Rule of Three Direct.

Which terms do you multiply together? A. The first and second.

What term do you divide by? A. The third.

In what denomination will your answer come out? A. In the same that the middle term was brought into.

What is the proof? A. As in the Rule of Three Direct. Exercises for the Slate.

If 12 men can build a wall in 20 days; how many can do the same in 4 days? days men days 20 : 12 :: 4 20

4)240

60

Does more require less or less require more in the first sum? A. Less requires more. How does less require more? The less days the more men.

A.

If 4 men build a wall in 120 days; how many days will 12 do the same? Will 16 men? Will 20 men? Will 24 men? A. total, 114 days.

What number of men must be employed to finish in 18 days, what 30 men would be 60 days about? 30 days about? 40 days about? A. total, 205 men.

If a field will feed 2 cows 20 days, how long will it feed 5 cows? Will it feed 8 cows?

Will it feed 10 cows? Will

it feed 20 cows? A. total, 19 days.

If 60 bushels of grain, at $1 per bushel will pay a debt; how many bushels at $1,50 cents, per bushel will pay the

At

same? How many bushels at $1,20 cts.? At 80 ets.? 50 cts,? At 40 cts. ?. At 30 cts.? A. total, 635 bushels. How much in length that is 6 inches in breadth, will make a square foot? That is 4 inches in breadth? That is 8 in. in breadth? That is 16 inches in breadth? A. total, 87. A borrowed of B $500 for 3 years; how long ought to lend B $200 to requite the favour? How long ought he to lend him $900? How long $500? How long $1200? total, 9 years, 4 m. 6 days.

A.

A regiment of soldiers consisting of 800 men is to be clothed; each suit containing 45 yards of cloth, which is 13 yds. wide; and lined with flannel yards wide; how many yds of flannel, will be sufficient to line all the suits? A. total, 8633 yds. 1 qr. 1/1 na.

Note. As questions in practice may be easily solved by the Rule of Three, it being only a contraction of that rule when the first term happens to be an unit, or one; and, as reckoning in Federal Money has rendered it almost useless, it will be omitted as it has been by many other writers.

INTEREST.

What is the allowance, paid by the borrower to the lender, for the use of money, called? A. Interest.

How many kinds are there? A. Two.

What are they? A. Simple and Compound.

What is Simple Interest? A. That interest which is allowed for the principal only.

At what rate per cent. is it generally reckoned? A. 6 per cent. per annum.

How is this per cent. fixed in most of the United States ? A. By law.

What is the meaning of 6 per cent. per annum? A. Six dollars for the use of $100, or £6 for the use of £100 for one year, &c.

What is the meaning of per annum ? A. For a year. What is the interest, which is established by law called? A. Legal interest.

Suppose there is no rate per cent. mentioned; what per ct. is always to be understood? A. The rate per cent. established by law.

What is that in our own state? A. 6 per cent.

How many things are to be noticed in interest? A. Three.
What are they? A. Principal, rate and amount.
What is the principal? A. The sum lent.

What is the rate? A. The sum per cent. agreed on.

What is the amount? A. The Principal and Interest added together.

CASE I.

To find the interest of any sum, whether dollars, eagles guineas, pounds, or shillings, &c. at 6 per cent. for one year

or more.

What is the RULE? A. Multiply by 1 half the number of months, and divide by 100, or cut off two figures.

What are the figures cut off? A. Cents, mills, &c. (i. e.) decimals.

Remark. The instructor will continue to bear in mind that the slate is not to be used in obtaining the answers to the questions given for mental exercise. What is the interest of 40 dollars for one year? A. 2 dols. 40 cts. What is the amount ? A. 42 dols. 40 cts.

What is the interest of 80 dols. for 10 months? What is the amount? A. 84 dols.

A. 4 dols.

What is the interest of 8 dols, for 4 months? A. 16 cents. What is the amount? A. 8 dols. 16 cts.

What is the interest of 4 dols. for 4 months? A. 8 cents. What is the amount ? A. 4 dols. 8 cts.

What is the interest

What is the amount ?

of 2 dols, for 4 months?

A. 2 dols. 4 cents.

A. 4 cents.

What is the interest of 20 dols, for 2 months? A. 20 cts. What is the amount? A. 20 dols. 20 cts.

What is the interest of 8 dols, for 1 month?

What is the amount? A. 8 dols. 4 cts.

A. 4 cents.

What is the interest of 80 dols. for 1 month? A. 40 cts. What is the amount? A. 80 dols. 40 cts.

What is the interest of 800 dols, for 1 month? A. 4 dols. What is the amount? A. 804 dols.

What is the interest of 8000 dols. for 1 month? A. 40 dols. What is the amount? A. 8040 dols.

What is the interest of 5 dols. for 12 months? A, 30 cts. What is the amount ? A. 5 dols. 30 cts.

What is the interest of 50 dols, for 1 year? A. 3 dollars. What is the amount? A. 53 dols.

What is the interest of 500 dols. for 1 year? A. 30 dols. What is the amount? A. 530 dols.

What is the interest of 5000 dols for 1 year? A. 300 dols. What is the amount ? A. 5300 dols.

What is the interest of 1 dollar for 4 years? A. 24 cents. What is the amount? A. 1 dol. 24 cts.

What is the interest of 1 dollar for 12 years? A. 72 cts. What is the amount? A. 1 dol. 72 cts.

What is the interest of 50 dols. for 2 years and 6 months? A. 7 dols. 50 cts. What is the amount? A. 57 dols. 50 cts. What is the interest of £100 for 8 months? A. £4. What is the amount ? A. £104.

What is the interest of £10 for 1 year and 8 months ? £1. What is the amount? A. £11.

A.

What is the interest of $2,50 cts. for 2 months? A. 2 cts. 5 mills. What is the amount? A. 2 dols. 52 cts. 5 m.

What is the interest of 6 dols. 50 cts. for 2 months? A. 6 cts. What is the amount ? A. 6 dols. 56 cts.

Exercises for the Slate.

What is the interest of 150 dols. for 3 years and 4 months? What is the interest of £150 for the same time?

Of

What is the interest of $75 for 2 years and 6 mo. ? $250 Of $800? Of $95? Of $650? A. total, $280,50 cts. What is the interest of $1500 for 4 m.? For 6 m.? For 10 mo. For 1 year 2 mo.? For 1 year 8 mo.? For 4 yrs. 2 mo. For 6 yrs. 6 mo. ? A. total, $1365. What is the amount of $75 for 2 yrs. 6 mo.? Of $250 ? Of 800 dols. ? Of 95 dols.? Of 650 dols.? A. total, $2150,

What is the amount of $615,75 cts. for 5 years? For 11 years, 1 m.? For 7 years 2 mo. ? A. total, $2706,22 cts. 1 m. What is the interest of $7650, for 3 yrs. 3 mo. ? For 3 yrs. 4 mo. ? For yrs. 6 mo. For 2 yrs. 2 mo. ? A. total, $6999,75 cts.

What is the amount of $7,50 cts, for 10 yrs. 1 mo.? For 2 yrs. 3 mo. ? For 1 mo.? For 11 mo.? For 1 year 7 mo.? A. total, $44,21 cts.

Remark. As a difficulty arises in directing the scholar to multiply by one half the number of months; when the sum consists of years, months, and days, together: the following table is composed, by putting 30 under the given number of days,-reducing the fraction to its lowest terms, and a rule subjoined, by which the interest for any number of days may be found readily with fewer figures than by any other method.

or

What part of a month is 1 day? A. 3.
What part are 2 days?
What part are 3 days?

330

A. 3 or

30

1