3. Written.

1. Find 54% of 1240. 35 % of 824. 66% of 963.

2. 330 is 40% of what number?

3. 205 is 125 % of what number?

4. What number decreased by 331 % of itself equals 1388? 5. 25% of 1344 is what per cent of 4480?

6. 423.9 is what per cent of 942?

7. What number increased by 13 % of itself equals 71.981? 8. is what per cent of?

9. Mr. Gonzales is six times as old as his grandson, and the difference in their ages is 65 years. How old is Mr. Gonzales ?

10. If I put 50% of my money in one bank, 25 % in another, and 20% in a third, and have P 4200 besides, how much money have I all together?

11. A man invested P43,750 in real estate. 62% of his money, how much had he left?

If this was

12. By selling rice at a gain of 9%, a speculator received P27,904. What did the rice cost him?

13. The average daily attendance for one year in a certain school was 420, and for the following year 560.

per cent of increase ?

What was the

14. A merchant bought of a hektoliter of vinegar for P.09 a liter. He sold of it at P.12 a liter and the remainder at

P.13 a liter. How much did he gain?

15. Allowing 25 sq. m for openings, what will it cost at P.35 per square meter to paint the outside walls of a house 8.5 m long, 6.5 m wide, and 5.2 m to the eaves?

16. The product of two numbers is 2; one of the numbers is. What is the other number?

17. is 20 % less than what number?

18. What will it cost to build a wall 36 m long, 2.4 m high, and .6 m thick, of hollow concrete blocks 60 cm by 30 cm by 20 cm, at P.90 each?

19. At P.30 per square meter, what will it cost to build a gravel road 2.2 Km long and 5 m wide?

20. Find the cost of 25 boards, each 15 ft. long, 11 in. wide, and 1 in. thick, at P.12 a bd. ft.

21. Find the number of board feet in the following bill of lumber: 20 joists, 10 in. by 2 in., 15.8 ft. long; 30 boards, 11 in. by 13 in., 15.2 ft. long; and 48 boards, 15 in. by 11⁄2 in., 12 ft. long.

22. Find the cost of a pile of stone 3.5 m long, 1.2 m wide, and 1.5 m high, at P2.25 per cubic meter.

23. If the specific gravity of brick is 2.1, what will be the weight of the brick in a load 1.2 m long, .8 m wide, and .5 m high?

24. How many tiles 25 cm square will it take to lay a floor 8.5 m long and 6.25 m wide?

25. A certain reservoir has an inlet pipe that will fill it in 5 hours, and two outlet pipes, one of which will empty it in 12 hours and the other in 15 hours. If all three pipes are opened at the same time, how long will it take to fill the reservoir ?

26. A boy paid P4.90 for a hat. If this was 221% more than he paid for a pair of shoes, what did he pay for both?

27. I sold 45 quintals of hemp for P2538.90, which was at a gain of 81%. What did the hemp cost per quintal?

28. Two successive discounts of 20% and 10% reduced a bill to P144. What was the original bill?

29. I sent an agent P365.40. After taking out his commission of 5% for buying, how many piculs of hemp did he buy at P14.50 per picul?

4. Written.

1. A piano was sold for P464, which was 16% more than it cost. What was the gain?

2. A farmer sold cacao and coffee for P486. If he received 43% more for the cacao than for the coffee, how much did he receive for each?

3. What is gained when 3 dozen oranges, bought at P.02 each, are sold at 33% advance?

4. At what price must a merchant mark an article costing P8 so that he may give a discount of 20 % and still have a profit of 25% ?

5.

What principal will amount to P1483.38 in 3 yr. 24 da at 71% ?

6. A dealer bought cigars at P5 a hundred and sold them 4 for P.25. What was his gain per cent?

7. A traveler has gone 1220 Km of a journey, which is of the distance he has yet to go. How long is his journey? 8. Divide 2002 hundred-thousandths by 2 thousandths, and write the result in words.

9. The value of the English pound sterling in U. S. money is $4.8665. How many pounds can you get for $24,332.50? 10. How much waste will there be after cutting as many 2-cm cubes as possible from a 5-cm cube?

11. How many square centimeters are there in the surface of a block of granite .75 m by .58 m by .3 m? Find the length of its edges in decimeters.

12. One half of my goods was destroyed by fire, one half of the remainder was destroyed by water, and the part left was damaged to such an extent that it sold for 60% of its original value. If the sales amounted to P1536, what was the original value of my stock?

13. What is the difference between a single discount of 40% and two successive discounts of 20% and 20% from a bill of P500?

14. A boy lost 12% of his marbles and had 112 marbles left. How many had he at first? Analyze.

15. Find the simple interest on P625 for 3 yr. 4 mo. 15 da. at 8%.

16. If lead is 11.4 times as heavy as water, and iron 68% as heavy as lead, what is the weight of 100 cu. cm of iron?

17. A merchant sold a suit of clothes for P36 and gained 121%. How much would he have gained if he had sold it for

P 38.40?

18. A man sold two horses for P240 each. He gained 20% on one and lost 20 % on the other. Did he gain or lose by the

two sales, and how much?

19. If P60 is paid for insuring a house worth P3600 for of its value, what is the rate of insurance? Analyze.

20. After deducting 25% and 15% from the marked price, goods were sold for P280.50. What was the marked price?

21. An agent received P126 for buying tobacco at 31% commission. How many bales did he buy at P12.50 per bale?

22. What is the rate of taxation when I pay a tax of P35.50 upon property assessed at P5680?

23. In what time will P660 yield P178.20 interest at 8% ? 24. What principal will amount to P858.75 in 2 yr. 5 mo. at 6%? Analyze.

25. Find the compound interest on P1250 for 1 yr. 6 mo. at 8%, payable semi-annually.

26. What per cent do I gain by buying lead pencils at P2.80 per hundred and selling them at P.42 per dozen?

5. Oral.

CORPORATIONS

A number of persons associated together for the purpose of transacting business form what is called a stock company, or corporation.

The capital is the money supplied by the members of the corporation to carry on the business. It is divided into shares of stock, usually of P100 each.

Each person who owns one or more shares is a stockholder.

Each stockholder receives a certificate of stock which shows the number of shares he owns and their value. This value is called their par value.

Stocks are above par, or at a premium, when they sell for more than their par, or face, value; and are below par, or at a discount, when they sell for less than their face value.

The market value of shares of stock is the price at which they are sold.

A person who buys and sells stocks for others is called a stockbroker, and his commission is called brokerage. The brokerage is a certain per cent of the par value of the stock bought or sold.

The stockholders elect a few of their number to have general direction of the company. These men are called directors.

The profits of the company, after all expenses are paid, are divided among the stockholders. These earnings are called dividends. The directors decide on the rate of dividend.

If a corporation with a capital stock of P200,000 earns P9000 beyond all expenses, it may declare a 41% dividend. Each stockholder then receives 41% of the par value of his shares of stock. A man owning 20 shares receives P90; 100 shares, P450, etc.

In the following problems P100 is considered one share.