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4. What is the amount of $241,20 for 6_mo. 20 da. ?-20058 For 1 mo: 1 da.?-242653. ' For 1 yr. 4 mó. 5 da. ?-263946. For 2 yrs. 6 mo. 20 da. :-281582. 'A. $1041,761 +.

ILXV. Since 6 per cent. is $6 on $100, that is, Too of the principal, and 5 per cent. To, &c., hence,

To calculate the interest at any rate per cent., when the timo is 1 year, we proceed as follows:

RULE. Multiply by the given rate, and cut off two figures, as before.

1. What is the interest of $ 220,40 $220,40 for 1 yr., at 9 per cent?

$ 19,83 60 Ans. 2. What is the interest of $1200,30 for 1 yr., at 12per "cent.? 4. $150,03,7.

3. What is the annount of $80,10 for 1 yr. at 24 per cent. !82102. At 5 per cent. ?-84105. At 10 per cent. ?-8811. AI 4 per cent. ?-83704. At 197 per cent. ?-95919.

A. $433,94 +

LXVI. COMMISSION. Q. When an allowance of so much per cent. is made to a person called either a correspondent, factor, or broker, for buying, or assisting in buying and selling goods for his employer, what is it calleu ? .

A. Cor.mission.

RULE. Q. Since commission, insurance, buying and selling stocks, and loss and gain, are rated at so much per cent., withows regard to time, how may all these be calculated ?

A. Multiply by the rate per cent., and cut off two figures, as in the last rule.

1. What would you demand for selling $400 worth of cotton, for 21 per cent. commission?

$400 X 24, and cutting off two figures,=$10, commission, Ans. 2. My correspondent informs me that he has purchased goode to the amount of $5000; what will his commission amount to 4 24 per cent.? A. $125. 2. What must I be allowed for selling 300 pounds of indigo

at $2,50 per Ib., for 2 per cent. commission ?-15. For 2 per cent. 2-20625. For 5 per cent.

?-3750. For 6 per cent. ? 4873 Por 7 per cent. ?-5230. A. $174,374.

INSURANCE. Q. What is the allowance of so much per cent made to persons, to make good the losses sustained by fire, storms &c., called 1

A. Insurance.

Q. By what name is the instrument that binds the contracting pike des called ?

A. Policy.
Q. What is the sum paid for insurance called ?
A. Premium.

1. What will be the premium for insuring an East India ship valued at $25000, at 155 per cent.? A. $3075.

2. What is the premiun for insuring $2600, at 20 pes cent. -520. At 30 per cent. ?-780. At 185 per cent -481. 204 per cent. ?–689. A. $2470.

STOCK. Q. What is the general name for all moneys invested In trading companies, or the funds of goverument, called?

A. Stock.
Q: When $100 of stock sells for $100, how is the stock said to be t

A. At par.

Q. When is it said to be abore par, and when below par !

A. When $100 stock sells for more than $100, it is said to be above par ; when for less than 100,

below par:

Q. When it is ahove par, what is it said to be ?
A. So much advance.

1. What is the value of $2500 of stock, at 106 per cent., that is, 6 per cent. advance ? A. $2500 x 100 = = $2650.

2. What is the value of $1000 of insurance stock, at 95 per cent; that is, 5 per cent. below par? A. $950.

3. What is the value of $1200 of bank stock, at 3 per cent. below par; that is, 97 per cent. -1164. At 112 per cent., or 12 per cent, advance ?-1344. At 874 per cent. ?-1050. Át 12 por cent, advance; that is, 1124 per cent. ?-1350. A. $4908.

LOSS AND GAIN. 1. Bought a piece of broadcloth for $80; How much must I sell it for, to gain 10 per cent. ; that is, 10 per cent. advance, which is 110 per cent. on the cost ? $80 X 110=$88, Ans.

2. Baught a hogshead of molasses for $50, and, 5 gallons having leaked out, I sold the remainder at 10 per cent. loss, that is, 10 per cent. below par, being 90 per cent. on the cost; what did I get for it? A. $45.

3. If I pay $50 for a piece of broadcloth, how must I sell the same so as to gain 20 per cent.; that is, 20 per cent. advance, or 120 per cent. on the cost ? A. $60.

4. Bought rum at $1,25 per gallon; and, by accident, 80 much leaked out, that I am content to lose 20 per cent.; how must I sell it per gallon? A. $1.

5. A merchant bought 400 barrels of four for $3500; how must he sell it per barrel, to gain 25 per cent.? A. $10,934.

6. Bought sugar at 15 cents per lb. ; at what rate must I sell it a ib. so as to gain 20 per cent. ?-18. So as to gain 25 per cent. ?-1875. 30 per cent. ?-195. 40 per cent. ?-21. 45 per cent. ?-2175. 50 per cent. ?-225. 65 per cent. ?-2475. 75 per cent. ?-2025.

90 per cent. ?-285. . 100 per cent., or to double my money ?-30. A. $2,31.

7. Bought 100 tierces of rice, each tierce weighing, 300 lbs. net, at 6 cents per lb.-1875; 30 pipes of wine for $1,12, per galion-425250; 3 hhds. of rum for 90 cents per gallon-17010; 20 barrels of flour for $7) per barrel-300; and 20 bushels of alt for 7 s. 6 d. or $1,25 per bushel-50 : how much must all the said articles be sold for, to gain 50 per cent., being 150 per cent. on the first cost ? A. $9971,40.

LXVII. TIME, RATE PER CENT., AND AMOUNT

GIVEN, TO FIND THE PRINCIPAL. 1. What sum of ready money, put at interest for 1 yr. 8 mo. at 6 per cent., will amount to $220 ? The amount of $1 for 1 year and 8 mo. i8. $1,10; then, $220 $1,10 =$200, Ans.

RULE. Q. How, then, would you proceed, to find the principal ?

A. Divide the given amount by the amount of 81 at the given rate and time.

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2. What principal, at 6 per cent.in 5 years.will amount to $6508

In this example, in dividing $650 by $1,30, we annex two ciphers to 500, auke the docimal places in tho divisor and dividond equal. (See 1 LV1.)

4. 8500

3. What principal at 6 per cent., in 1 year 2 mo., will amount to $6427 4. $600.

4. What principal will amount to $691,50 in 2 yrs. 6 mo. 16 da., at 6 per cent.? A. $600.

5. A correspondent has in his hands $210, to be laid out in goods; after deducting his own commission of 5 per cent., how much will remain to be laid out?

It is evident, that the commission which he received, added to the money laid out, must make $210; hence $210 may be considered the amount, ane she money laid out the principal; consequently, the question does not differ materially from the foregoing. In such questions as these, in which time it not regarded, the amount of $1 is the rate per cent. added to $1.

It will be recollected, that 6 per cent. is 6 cents on 100 cents, or $1; 5 per sent., 5 cents; the amount, then, of $1, at 5 per cent., is 5 cents added to $1 waking 1,05; then, $210 + 81,65= $200, Ans.

6. A factor receives $1040 to be laid out in goods, after de dueting his own commission of 4 per cent.; how much does his commission amount to?

The sum laid out, found as before, is $1000; then, 1040 — 1000 =$40, com bission, the Arster.

7. A factor receives $2100, from which he wishes to deduo his commission of 5 per cent.; what will his commissio amount to? A. $100.

DISCOUNT. 1. William owes Rufus $1272, to be paid in! year, without interest; but Rufus, wanting his money imme diately, says to William, I am willing to allow you 6 per cent. the lawful'interest, if you will pay me now; what sum oughi William to pay Rufus?

It is evident that he ought to pay just such a sum as, pu: at interest, would ma 1 year, amount to $102; or, in other words, such a principal as wouk amount to $1272. This question, therefore, is solved in the same manner we precoding. $1272 = $1,06 = $1200, tho Ans.

Q. What is an allowance made for the payment of a sum of money before it becomes due, called ?

A. Discount

Q. What is the sum called, which, put at interest, would, in the given time and rate, amount to the given sum or debt ?

A. The present worth.
Q. In calculating interest, what would the present worth be called!
A. The principal.
Q. What would the given sum, or debt, be called ?
A. The amount.
Q. What is the discount of any sum equal to 1,

A. The interest of its present worth for the same time.

2760 INTEREST. Q. As operations in discount are substantially the same as in the preceding paragraph, what is the rule, which was there given, that is applicable to discount ?

Rule. A. Divide the given sum, or debt, by the amount of $1, at the given rate and time; the quotient will be the present worth.

Q. Ilow is the discount found 1

A. By subtracting the present worth from the given sum or debt.

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Note. It will be recollected that, when no per cent. is mentioned, 6 per sont. is understood.

2. What is the present worth of $133,20, due 1 yr. 10 mo. hence? A. $120.

Proor. 3. What is the amount of $120 for 1 yr. 10 mo.
Perform this example by the rule for calculating interest.)

A. $133,20 4. What is the discount of $660, due 1 yr. 8 mo. hence

A. $60 Proof. 5. What is the interest of $600 for 1 yr. 8 mo.?

A. $60. 6. What is the discount of $460, due 2 yrs. G mo. hence ?

A. $60. 7. What is the present worth of $1350, due 5 yrs. 10 mo bence ? A. $1000.

8. Bought goods to the amount of $520, on 8 mo. credit; how much ready money ought I to pay as an equivalent? A. $500.

9. Bought goods in Boston, ainounting to $1854, for which I gave my note for 8 mo.; but, being desirous of taking it up at the expiration of two months, what sum does justice require me to pay? A. $1800. 10. What is the discount of $615, due 5 mo, hence ?

A. $15. 11. What is the present worth of $1260, due 10 mo. hence ?

A. $1200. 12. What is the present worth of $1272 due 2 yrs. hence discounting at 3 per cent.? A. $1200.

13. What is the present worth of $51,50, due 6 mo. hence ? 50. Of $204, due 4 mo. hence ?-200. 'Of $13000, due 5 gra hence ?-10000. Of $9440, duc 3 yrs. hence ?-6000.

A. $18250. 14. What is the present worth of $515, due 6 mo. hence? $ou. Due 1 yr. hence ?-485849. Due 15' mo. hence ?-479069 Due 20 mo. hence ?-468181. Due 4 yrs. hence ? -415.322.

A. $2348,421 +

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