8. E. R. Smith owes J. D. Wilson $2500, due Oct. 12, 1896. If Mr. Smith pays $500 Aug. 10, and $1000 Sept. 25, when should the balance be paid?

9. A speculator bought N. Y. C. stock at 98, and sold it at 973, and lost $187.50. How many shares did he handle? 10. Had he retained his stock until a quarterly dividend was declared, his dividend would have been $312.50. What was the annual rate of dividend?

424. 1. State why securities fluctuate in value.

2. Name a corporation.

3. What does a stockholder hold to show that he has stock in a company?

4. On what does the income from his stock depend? 5. Why does a corporation issue bonds?

6. Find the present worth and true discount of $300, due in 10 months, at 6%.

7. Find the bank discount and proceeds of a note of $730, due in 3 months, at 6%.

8. What is the face of a note at 2 months and 18 days, which yields $2961 when discounted at a New York bank?

9. A person owning of a piece of property, sold 20% of his share. What part did he then own?

10. At what price should 43% bonds be bought to make the income from investment equivalent to that from 3% bonds at par?

PROPORTION AND PARTNERSHIP

425. 1. What is ratio?

2. Read the following: 3:15. What does it equal?

3. What is each of the numbers in the above expression called?

4. What is a proportion?

5. Is the following expression a proportion? Explain why. 9:12:16:24.

6. 24:( ) 56:7. Find the omitted term.

=

7. If 8 men can do a piece of work in 10 days, in how many days can 12 men do it?

8. If 3 men in 12 days of 10 hours each can build a wall 100 feet long, 14 feet high, and 3 ft. thick, how long will it take 4 men working 8 hours a day to build a wall 200 feet long, 16 feet high, and 4 feet thick?

9. If it takes. 5 men 4 hr. 24 min. to manufacture 400 boxes, how much time will 8 men require to perform the same work.

10. If of an acre of land cost $15, what will 10 acres cost?

426. 1. 50 men in 7 da. at 12 hours a day dig a cellar. How many men will be required to dig a similar cellar in 217 da. of 8 hr. each?

2. A and B enter into partnership, A with $1800 and B with $900. After 8 mo. B adds $300 to his capital. Divide a profit of $840 between them at the end of the year.

3. A bankrupt owes A $350, B $680.50, C $65, D $500, E $980.50; his property nets $1648.64. How much does each creditor receive? How much does he pay on a dollar?

4. What is the ratio of 7 to 8? Of 21 to 31 ? Of $9 to $6?

5. If 20 men can mow a field in 6 days, in how many days will 30 men mow it?

6. If 5 horses eat 8 bu. 14 qt. of oats in 9 days, at the same rate how long will 66 bu. 30 qt. last 17 horses?

A

7. A and B hired a pasture for $40 for the season. put in 9 cows for 4 mo., and B put in 8 cows for 8 mo. Other conditions being the same, what should each pay?

8. In what time will $10,000 yield $1200 interest at 8%. Solve by proportion.

9. If the antecedent is 3 of of, and the ratio is § of 1 of 15, what is the consequent ?

10. Required the ratio of 61⁄2 cu. ft. to 113 cu. ft.

427. 1. A, B, and C entered into partnership. A put in $600 for 8 mo., B $800 for 7 mo., C $1500 for 4 mo. They gained $820. What was each one's share of the gain?

2. A, B, and C found a gold-mine, and after developing it sold it for $64000. They agreed to divide the money according to the time each had worked. A worked 37 days, B 46 days, and C 39 days; for extra services B is to receive $1800, and C $1200 additional. How much does

each receive?

3. Three men, A, B, and C, enter into partnership. Out of a gain of $1200, C takes $500 and B $400. A's investment is $4500. Find B's and C's investment.

4. Divide $450

3, 4, and 8.

among three people in the ratio of

5. Three persons bought a block for $21000, of which A paid $9000, B $8000, and C the remainder. They rented it for $1400 a year. What was each man's share

of the rent?

6. Forster, Stull, and Furlong made 8000 pairs of bicycle pedals in 1895, which they sold for $1.60 per pair. The pedals cost them $1.15 per pair. If Mr. Forster put in $1000 Jan. 1, Mr. Stull $1200 April 1, and Mr. Furlong $900 May 1, what would be each one's share of the gain after drawing out the original investment?

block for $36,000. second $7,000, the They sold the land

7. Four men purchased a city The first contributed $20,000, the third $4,000, and the fourth $5,000. at an advance of 50% on the purchase price. How much was each man's share of the gain?

8. A, B, and C form a partnership in which A is to furnish no capital, but give his whole time to the business, and have the profits. B furnishes $10,000, and C $15,000. Their net profit at the end of a year is $8000. What is each partner's share?

9. A, B, and C gain in business together respectively $700, $1000, and $1500. What was the investment of each if their joint capital was $16,000?

10. Smith, Brown, and Jones gain in trade $9400. Smith furnished $10,000 for 5 months, Brown $9000 for 6 months, Jones $7000 for 1 year. Apportion the gain.

INVOLUTION AND EVOLUTION.

428. 1. Define involution; evolution; a square; cube

root.

2. Find the square of 63; of 2.35.

3. Find the third power of 123.

4. Find the square root of the fraction

.

5. What is the distance around a square field which contains 40 acres?

6. A man has 640 acres of land. How much more will it cost to enclose it with a fence at $4 a rod, in a rectangular form 512 rods long and 200 rods wide, than it would if in the form of a square?

7. What is the length of one side of a cube which contains 8120601 cubic inches ?

8. Find the entire surface of a cube whose volume is 42 cu. ft. 1512 cu. in.

9. The edge of a cube is 42 inches.

the edge of another cube 4 times as large.

Find the length of

10. If 16 cords of wood be piled in the form of a cube, what will be the length of one of its edges?

429. 1. What are the length and breadth of a rectangular field which contains 60 acres, the length of which is three times its breadth ?

2. A rectangular farm of 300 A. is 7 times as long as it is wide. How many miles of fence will enclose it?

3. A bird is 15 feet above a monument 80 ft. high. A boy is 145 ft. from the bird. How far is the boy from the

base of the monument?

4. How far is it between the extreme corners of a box 10 ft. square and 6 ft. deep?

5. Find how many acres in a lot in the form of a rightangled triangle whose hypothenuse is 50 rd. and the base 40 rd.

6. Find the diagonal of a square piece of land equal in area to a rectangular piece whose dimensions are 80 rd. by 20 rd.

7. Wishing to know the height of a church steeple, I find it casts a shadow 165 ft.; I also find that a 10-ft. pole when placed perpendicular casts a shadow 12 ft. What is the height of the steeple?

8. A house is 36 ft. wide, and the ridge of the roof is 12 ft. above the plates. How long are the rafters ?

9. A steamer goes due north at the rate of 12 miles an hour, and another goes due east at the rate of 15 miles an hour. How far apart will they be at the end of 8 hours?

10. If a pineapple 5 in. in diameter costs 20g, what should be the cost of a pineapple of similar shape 6 in. in diameter ?