22. Suppose 4000 soldiers after losing 210 barrels of bread, each containing 2007b., were to subsist on 13oz. a day for 24 weeks; had none been lost they might have received 14oz. a day: what was the whole weight, and how much did they receive?

23. Let us now suppose 4000 soldiers to lose one fourteenth of their bread, then to receive 13oz. per day for 24 weeks: what was the whole weight of their bread including the lost, and how much would each have received per day had none been spoiled?

14oz. per day had none been lost. 24. A certain amount of provisions will subsist an army of 3000 men for 30 days: if the army be increased by 2000, how long would the same provisions subsist it?

25. A merchant bought 42 pieces of cloth, each containing 20 yards, for which he paid $2520: he sold the cloth at $3 per yard, did he make or lose by the bargain? Ans. He neither made nor lost.

26. If 18 men can build 72 rods of wall in 4 days, how many rods will 38 build in 22 days?

27. If 8 barrels of flour will supply 240 men for 6 days, how long will 14 barrels supply 126, men? Ans. 20da.

28. The sum of $2500 is to be divided between two brothers, so that for every dollar received by the younger the older was to receive $4: how much did each receive?

29. If of a pole stands in the mud, 1 foot in the water, and in the air, or above the water, what is the length of the pole?

30. If 50 persons consume 600 bushels of wheat in 1 year, how much will 278 persons consume in 7 years?

PRACTICE.

1. What will be the cost of 752 yards of cloth at $13 per yard?

2. What will be the cost of 392 yards of cotton at 1s 6d per yard? Ans. £29 8s.

3. What will be the cost of 28 yards of broadcloth at £1 4s 6d per yard?

4 What will be the cost of 2000 quills at cent per quill? Ans. $10. 5. What will be the cost of 1800 lead pencils at 3 cents apiece?

6. What will 14 Ell English 2 nails of broadcloth cost at £2 3s 8d per yard? Ans. £38 98 74d. 7. What will 31cwt 1qr. 67b. of sugar cost at 1s per pound?

8. What will 102 acres of land come to, at £6 4s 4d per acre? Ans. £634 2s. 9. What will be the cost of 19gal. 1qt. 2gi. of wine at 5s 4d per quart?

10. What will be the cost of 72 dozen of eggs at 1s 3d per dozen? Ans. £4 10s 11. What will 393 pound of cheese come to, at ls 2d per pound?

12. What will be the cost of 28 yards of cloth, at $91 per yard? Ans. 270,75. 13. What will 288 pounds of rice come to, at 31⁄2d per pound?

14. What will be the cost of 924 yards of linen at 75 cents per yard? Ans. $693. 15. What will 154 tons of hay come to, at $12 per ton?

16. What will be the cost of 876 bushels of apples, at 314 cents per bushel ? Ans. 273,75. 17. What is the cost of 280 yards of tape, at 21 cents per yard?

18. What is the cost of 40 pounds of soap, at 63 cents per pound? Ans. 2,70. 19. What will be the cost of 2hhd. 5gal. 3qt. 2gi. of molasses, at 12 cents per quart?

20. What will be the cost of 55bu. 3pk. 5qt. of wheat, at 10s 2d 3far per bushel? Ans. £28 11s 10d 182d. 21. What is the value of 3096 yards of tape, at 24d per yard? Ans. £29 Os 6d. 22. What is the cost of 7422 pounds of sugar, at 15 per pound?

SIMPLE INTEREST.

1. What is the interest, at 6 per cent, on $178,50 for 50 years? Ans. 535,50 2. What is the amount of $1433,14 after bearing inter est for 8 years, at 6 per cent?

3. What is the interest on $957,08 for 12 years, at 31 per cent? Ans. 401,97 3+. 4. What is the interest on $750,90 for 84 months, at 7 per cent?

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5. What is the interest on $8099,74 for 48 months, at 5 per cent per annum Ans. 1619,94 8. 6. What is the interest on $179,50 for 60 months, at 6 per cent per annum?

7. What is the interest on $37596,42 for 48 months, at 6 per cent per annum ? Ans. $9023,140+. 8. What is the interest on $7953,70 for 27 months, at per cent per annum ?

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9. What is the interest on $0,75 for 150 years, at 6 per cent per annum?

Ans. 6,75. 10. What is the amount of $63,50 for 200 years, at 6 per cent per annum?

11. What is the interest on $1639,50 for 11 months, at 6 per cent per annum? Ans. $90,17 2+. 12. What is the interest on $64,36 for 72 months, at 6 per cent per annum?

13. What is the interest on $33,50 for 7 months and 17 days, at 7 per cent per annum ? Ans. $1,47 8+.

14. What is the interest on $102,34 for 9 months and 29 days, at 4 per cent per annum?

15. What is the interest on $172 for 99 months and 19 days, at 12 per cent per annum? Ans. $178,50+. 16. What is the interest on $288 for 5 days, at 6 per cent per annum?

17. What is the interest on $1613,80 for 1 year 10 months and 10 days, at 6 per cent per annum? Ans. $180,207+. 18. What is the interest on $400, for 10 years 3 months and 6 days, at 7 per cent per annum? Ans. $287,46 6+.

COMPOUND INTEREST.

1. What will be the amount of £550 10s placed at compound interest at 7 per cent for 3 years, the interest being added annually? Ans. £674 7s 8d+.

2. If the population of a country be 2500000, and it increases 25 per cent every 10 years, what will it amount to in 20 years?

3. What will a note of $300 amount to in 2 years, compound interest at 6 per cent, the interest being added semi-annually? Ans. $337,65 2+.

4. What is the compound interest on $637,25, for 5 years at 5 per cent, the interest being added annually? 5. What will be the amount of $600 in 1 years at 6 per cent, the interest being added quarterly?

Ans. 656,06 5+.

DISCOUNT.

1. A note of $550,50 is due in 11 months, but the person to whom it is payable sells it with the discount off at 7 per cent: how much shall he receive?

Ans. 517,30 6+. 2. How much ought Mr. Ready to pay in cash for his note of £18, due 15 months hence, it being discounted at per cent?

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3. Mr. A gives his note to B for $240, one-half payable in 4 months and the other half in 8 months: what is the present value of said note, discount at 5 per cent per annum ? Ans. 234,16 2+.

4. What is the present value of £275 payable as follows: one-half in 3 months, one-third in 6 months, and the rest in 9 months: the discount being 6 per cent per annum?

5. Bought goods for £250 ready money, and sold them for £300 payable by a note at 6 months: now if the note be discounted at 6 per cent per annum, will the purchaser make or lose? Ans. makes £41 5s 23d+. 6. What is the present value of $4000 payable in 9 months, discount 41 per cent per annum? .

EXAMPLES IN COMMISSION AND BROKERAGE. 327

7. How much corn must I carry to a miller that I may receive a bushel of meal: he taking for toll? Ans. 1bu. 2qt.

8. Mr. Johnson has a note against Mr. Williams for $715,50, dated August 17th, 1838, which becomes due January 11th, 1839: what ready money must be paid for the note September 25th, 1838.

9. C owes D $1728, to be paid October 27th, 1842; C wishes to pay on the 24th of August, 1838, to which D consents: how much ought D to receive, interest at 6 per cent? Ans. $1381,847+.

due

10. What is the present value of a note of $1600, 4 years hence the interest being computed at 5 per cent per annum?

11. A man having a horse for sale, offered it for $225 cash in hand, or 230 at 9 months; the buyer chose the latter did the seller lose or make by his offer, supposing money to be worth 7 per cent?

Ans. he lost $6,47 3+.

COMMISSION AND BROKERAGE.

1. My commission merchant sells goods to the amount of $1000, on which I allow him a commission of 2 per cent, and as he pays over before the money becomes due, I allow him 1 per cent: how much am I to receive? Ans. $965,30.

2. My broker receives from me $2000 to be laid out in stocks: what will be the value of my stocks after allowing him 24 per cent commission?

3. I sold $6910,80 worth of goods for a merchant at a commission of 2 per cent: how much ought I to pay over to my principal? Ans. $6738,03.

4. I remitted to my agent $7380 to lay out in the purchase of iron. He takes 3 per cent on the whole sum for his commission, and then buys iron at 95 dollars per ton: how much does he purchase?