9. 874 is 331% less than what number?

10. Required the cu. feet of a box 6 ft. 6 in. by 4 ft. 9 in. by 3 ft. 3 in.

412. 1. Write the following numbers and add: six thousand sixteen and sixty-five thousandths, four hundred one thousand forty-one and one-tenth, six hundred one and nine hundredths, ten thousand one hundred seventeen and nine hundred three thousandths, forty-nine hundred forty-nine and nine-tenths.

2. Write in words 83.493, 70077, 1001001.01, 90019. 3. Find the number of which 160 is 3.

4. Find the exact number of days from July 4, 1893, to to-day.

5. Multiply 7 lb. 8 oz. 15 pwt. by 15.

6. Solve

18 × 963 × 44 × 27 × 2800

= ? 63 x 88 x 105 × 1926 × 45

7. Define commission, also brokerage; and state on what sum, or value, both are computed.

8. Express decimally 27 and . Find their product. as decimals, and as common fractions, expressing both answers decimally.

9. Fruit was sold at 12 per quart, which was 200 per cent of its cost. What was the cost per bushel? and what was the rate per cent of profit?

10. An agent sold 840 bu. grain at 60 per bushel. His commission was $15.12. Find the rate of commission.

413. 1. A man owes you a debt of $2160, which he declines to pay. Your lawyer succeeds in collecting 70 per cent of the debt, and charges 5 per cent commission for his services. What sum do you receive?

2. A manufacturer sent $1295.27 to a commission merchant who charges 3 per cent commission, instructing him to purchase wool at $0.333 per pound. How many pounds of wool will be received?

3. A farm was sold for $8000, which was 20 per cent less than its real value. If it had sold at $12000, what per cent above its real value would it have brought?

4. A commission merchant sold for a farmer 6000 lb. pork at 8 per pound. He charged 11% commission for selling, and paid $18.80 for freight. How many feet of pine boards at $25 per 1000 ft. could he purchase with the proceeds of the pork, after deducting 1 per cent commission for buying?

5. Reduce to simple fraction in lowest terms:

of 12 3 × 8 + 3

6. What per cent of 3 is ? Of is ? Of 80 is 50? 7. A drover sold 250 sheep for $1150, which was 15% more than they cost. What was the cost per head of the

sheep?

8. If 20% be lost on a ton of rye straw sold for $19.20, what is the cost of the straw per ton?

9. How many per cent of a number is 0.15? 0.061 ?

0.50? 2.25?

10. What common fraction of a number in its lowest terms is 20%? 50%? 61%? 66%%? 160%?

414. 1. A man sold $8400 worth of merchandise, and had 30% of his stock left. What was his entire stock worth?

2. A merchant sold goods at 20% and 5% off, and still made 20% on the cost. What was the cost price of a book that was marked $1.00?

3. Bought 1000 pounds of butter at 18, and sent it to an agent who sold it at 21 on a 5% commission. What was my rate of gain?

4. Mr. Brown has a flock of 940 sheep in three fields. In the first are 20% of the entire flock, in the second 40%, and the remainder in the third. How many sheep are there in each field?

5. A lady has a salary of $825 a year; she spends 20% of it for board, 35% of it for other expenses, and saves the remainder. What sum does she save?

6. What per cent of a leap year is the time from Washington's Birthday to the Fourth of July?

7. The Barber Asphalt Company engaged to pave a street 5 miles long at $55000 a mile. If the actual cost be $130 per rod, what is the gain per cent?

8. A commission merchant charges 1% for selling, and 21% for guaranteeing the payment of the money. His commission on a certain transaction amounted to $384.75. Required the amount of the sale.

9. I bought 1100 tons of coal at $3 per ton. I sold 40% of it at a gain of 50%, 40% of the remainder at a gain of 35%, and lost 10% on the rest. What was my actual gain?

10. An article bought at 18% below the asking price is sold for the asking price. What is the gain per cent?

INTEREST AND DISCOUNT.

415. 1. Find the amount of $875 for 1 year, 4 months, and 12 days, at 6 per cent interest.

2. Find the interest on $128.45 from March 2, 1895, to Dec. 14, 1895, at 6 per cent.

3. A pile of wood 256 feet long, 4 feet wide, and 5 feet high is sold for $160. What is the price per cord?

4. Define per cent; interest; proper fraction.

5. State the difference between a prime and a composite number.

6. Find the cost of 6 gal. 3 qt. and. 1 pt. of sirup at 46 cents per gallon.

7. 1521 is how many times 13?

8. What is the interest on $1200 for 2 yr. 3 mo. 18 da. at 6%? The amount?

9. What is the interest on $1240 from March 3 to Aug. 28, at 6% ?

10. Write the United States rule for computing the amount due on a note when partial payments have been made.

416. 1. In what time will $3960 earn $770 at 5%, simple interest?

2. If $675, at simple interest, gain $172.80 in 3 years, 2 months, 12 days, what is the rate of interest?

3. When interest, time, and rate are given, how may the principal be found?

4. Define true present worth and true discount of a debt. Define compound interest, and make and solve an example to illustrate your definition.

5. A merchant sells goods amounting to $6784.00 on a year's credit. If money is worth 8%, what sum should he accept in payment of the bill 6 months before it becomes due?

6. Write a negotiable promissory signed by James Fox for $875.60 due 90 days from date, payable to yourself, at a bank. Name (a) the payee; (b) the drawer; (c) the date when the note matures (becomes due). What words on the note make it negotiable? What does negotiable mean?

7. If you should sell the note (Ex. 6) to Mr. F. P. Weaver, what indorsement must you write upon it? Where should indorsements be written?

8. If the note is not paid until Sept. 15, 1895, how much interest will then be due on it?

9. A farmer expended $5580 in improvements on his farm, which was 24% more than of the cost of the farm. Find the cost of the farm.

10. Principal, interest, and time being given, how is the rate found?

417. 1. Find the amount of $496.85 for 2 years, 4 months, and 15 days at 4 per cent.

2. How long will it take $750 at 6 per cent to gain $67.50 interest?

3. A dealer bought 65 lawn-mowers at $4.25 each, and sold them at $3.871⁄2 each. What per cent did he lose?

4. If a cellar is 38 ft. long and 28 ft. wide inside the wall, and the wall is 8 ft. high and 18 in. thick, how many cubic yards of masonry does the wall contain?

5. What per cent of a number equals g of the number? What part of a number equals 33 per cent of it?

6. Write decimally, 6%; one hundred six per cent. 7. A town 6 miles long and 4 miles wide is equal to how many farms of 80 acres each?

8. What number must be subtracted from four hundred sixty-seven thousand six hundred thirty-three to make it exactly divisible by 758?

9. Find the amount of $535.20 for 2 yr. 4 mo. 18 da. at 5 per cent, simple interest.

10. Give formula or rule for finding the base when rate per cent and difference are given. Form and write such a problem.