615. Oral Problems. 1. 75 acres, or 25% less than an entire farm, is planted in corn. How many square rods are

there in the farm?

2. A cloak was sold for $375, a loss of 25 per cent. What

was the cost price?

3. John cut cord of wood, which was 33 per cent. more than Edward cut How much wood did Edward cut?

4. 12,500 bricks were found to be 25% more than were required for a building. How many bricks were required? 5. What is the base, if the rate is 5 per cent., and the difference 190 ?

6. If the sum of 2 numbers is 24, and the greater is 40 per cent. more than the less, what are the numbers?

7. A pound of tea sells for $.63, the gain being 16 per cent. of the cost price. What is the cost price?

8. Oranges sold at the rate of $.35 per dozen were sold at a loss of 30 per cent. How much per dozen was the cost

price?

9. The time past noon is 663 per cent. of the time to midnight. What is the time?

10. George has 45 marbles, which is 25 per cent. more than his brother has. How many marbles has his brother?

616. Written Problems. 1. A carriage was sold for $640, which was 28 per cent. less than the first cost. What was the first cost?

2. John spent 80 per cent. of his money and had $400 left. How much had he at first ?

3. A number increased by 64 per cent. of itself is 2,460. What is the number?

4. A number diminished by 11 per cent. of itself is 2,225. What is the number?

5. A sold 60 bushels of wheat at $1.50 a bushel, losing 20 per cent. How much did the wheat cost him per bushel?

6. What was the first cost of a horse that sold for $175 at a

loss of 12 per cent.?

7. 10 yards of cloth at $1.75 a yard were sold at a loss of 142 per cent. What was the cost per yard?

8. A farmer sold 2,400 bushels of oats, which was 61 per cent. more than what he had left. How many bushels had

he left?

9. If 120 bushels of peaches are sold for $330, at a gain of 10 per cent., what did they cost per bushel?

10. A jeweller sold 6 watches at $125 each, thereby gaining 429 per cent. What did the watches altogether cost him?

MISCELLANEOUS PROBLEMS.

617. Oral Problems. 1. James has $36 and increases it by 163 %. How much money has he then?

2. A man sold his carriage for 37% less than cost, thereby losing $45. What was the cost of the carriage?

3. Mary had $.72. She spent 83% and lost 12 %. 12%. How much money had she left?

4. A farmer sold 40% of of his farm and had 75 acres left. How many acres had he at first?

5. A man is 75 years old, and of his age is 62% of his wife's age. How old is his wife?

6. A man who earns $56 a month, spends 87% of his wages. How many dollars does he save in one month?

7. Mr. Graham sold his horse at a loss of $25, which was 12% of its cost. What was the selling price?

8. An agent charged $120 for selling goods at 4% commission. For what sum did he sell the goods?

9. A grocer bought flour at $8 a barrel and sold it at $8.50

a barrel. What per cent. of profit did he make?

10. A man sold his piano for $450, losing 163 %. What was the cost of the piano?

11. Bought a house for $6,400 and paid 87% on it. much is still due on the house?

How

12. If a grocer buys tea at $.48 and sells it for $.60, what per cent. of profit does he make ?

13. At 3% commission, how many dollars' worth of goods must an agent sell to make $210 ?

14. Mr. Hall rents a house for $350, which is 8% of the value of the house. What is the value of the house?

15. Bought a lot 12%, 25%, and 37%.

for $8,000, paying at different times How much is still due on the lot?

16. A broker charged shares of stock at $100 each.

% commission for buying 300 What was his commission?

17. William earns $7.50 a week. He pays 66% of his wages for board, and 20% of the remainder for car-fare. How much money has he left?

18. It takes 2% of a man's income of $2,000 to pay the premium on his house insured for $8,000. What rate of insurance does he pay?

19. A farmer had 250 sheep. He sold 20% of them, and lost 12% of the remainder. How many sheep had he left? 20. A man sold 25% of 80% of 400 bushels of wheat at $14 a bushel. How much money should he receive?

21. A man gave to his wife 663 % of his month's salary. His wife, with 75% of the money she received, bought a cloak for $150. What was the man's salary per month? ~ 22. If 163% is gained by selling a wagon for $63, how many dollars would be lost by selling it at 163% below cost? 23. A furniture dealer sold two chairs for $45 each. On one he gained 25%, and on the other he lost 25%. Did he gain or lose on both, and how much?

24. How much more per cent. is gained on an article bought at $6 and sold at $9 than on an article bought at $5 and sold at $7 ?

25. Bought a number of barrels of flour for $130.

Paid

$14 for storage and sold at a gain of 81% on the whole cost. What was the selling price?

618. Written Problems. 1. A man owns 46% of a mill worth $9,540, and sells 25% of his share. What is the value of the remainder of his share in the mill ?

2. A's property is 64 % of B's, which is worth $3,556. C's property is 106% of A's. What is the value of the three properties combined?

AB A man sold his lot for $5,816.25, losing 17%. For how much did he buy it per front foot, if he had 75 feet front? 4. A merchant, after spending 66% of his then 35% of the remainder, has $54.74 left. money had he at first?

5. A horse dealer sold two horses at $825 each.

money, and

How much

He gained

33% on one and lost 333% on the other. How much was his whole gain or loss?

6. A man bought 57 cows and sold them for $2,898.45, thus gaining 13%. What was the average cost of one cow?

7. A merchant in the course of a year sells goods to the amount of $23,970, making an average gain of 163 %. What is his income after deducting a rent of $1,040 and other store expenses amounting to 87% of the rent?

8. A merchant vessel was owned by A, B and C, in partnership. A owned 44%; B, 25% as much as A; and C, the remainder. The vessel was wrecked and a loss of $10,500 was sustained. What was each man's share of the loss?

9. A man owes $9,000, his property being worth $6,750. What per cent. of his debts can he pay?

10. A man bought 4 bushels of peaches at $1.75. per cent. will he lose, if he sells the peaches for $6.50?

What

11. If the premium on a house worth $11,000 is $165, what is the rate of insurance ?

12. Property valued at $9,000 is given to an agent to sell, his commission to be $315. What rate per cent. is the commission?

13. An army loses in battle 1,750 men, or 2 per cent. of the entire number. How large was the army?

14. At $41 a month, the yearly rent of a house is 8% of the value of the house. What is the value of the house? 15. Railroad stock purchased @ 87% is sold @ 95%. What is the gain on 125 shares?

100% equals $100.

16. A gives a broker $11,306.25 to and to pay his commission of %. 112% will A receive?

invest in bank stock,

How many shares at

17. When gold was quoted at 103, A exchanged a carriage worth $200 in gold for a horse worth $212 in greenbacks. Did he gain or lose, and how much?

18. What is 25 per cent. of 8,920 feet expressed in miles? 19. A and B starting at the same time travel toward each other, A at the rate of 6 miles per hour, B at the rate of 4 miles per hour. The distance is 120 miles. What per cent. of the distance will each travel?

20. An agent buys 25 hundred weight of sugar at 83 cents per pound. His commission is 13 per cent. What amount must he receive to cover the entire bill?

619. The Applications of Percentage do or do not involve the element of time, and they are accordingly separated into two classes:

I. Without Time: 1. Profit and Loss; 2. Commission ; 3. Stocks and Bonds; 4. Insurance; 5. Trade Discount; 6. Taxes; 7. Duties.

II. With Time: 1. Interest; 2. Bank Discount; 3. True Discount; 4. Partial Payments; 5. Equation of Payments; 6. Exchange; 7. Averaging Accounts.