8. A merchant sells goods at an advance of 20%, but loses 5% of his sales by bad debts. What % does he gain?

9. A bought a carriage at 20% discount with 10% and 5% off, and sold it at the list price. What % profit did he make?

10. An agent sold some Western land, and paid to the former owner $7531.30, retaining $153.70 as commission. What rate did he charge?

436. 1. A district schoolhouse cost $8010; the valuation of the property of the district is $392,375, and the number of polls assessed at $1.25 each is 130. What is the rate of tax, and what was A's tax, who paid for 4 polls, the valuation of his property being $6000?

2. What sum of money placed on interest at 6% will amount to $1567.85 in 1 year, 3 months?

3. Sold wheat at 72 cents per bushel, and thereby lost 10% of the cost. What was the cost per bushel ?

4. What will be the net cost of stationery billed at $850, if the discount is 20% and 10% off?

5. A house worth $7200 is insured for & of its value, at the rate of 60 cents on $100. Find the premium.

6. A man sold a house for $4200, which was 20% more than it cost him. What did it cost?

7. On a bill of goods listed at $645, choice is given between discounts of 20%, 10%, and 5% off, or a direct discount of 35% off. Which is better? and how much?

8. If a merchant gains 163% by selling cloth at $1.40 per yard, find his gain on a sale amounting to $32.

9. I owe B a bill of $1980. If I borrow the money from a bank, what must be the face of a note, due in 60 days without interest, which I must give to the bank, that I may receive the amount necessary to pay him, discount at 6% ?

10. A man sells his house for $8000, and receives in payment a note for 90 days. After 30 days he has the note discounted at a bank at 6%. What does he receive for it?

437. 1. I was offered $160 cash for my buggy, or a note of $165 payable in 90 days. I took the note, and discounted it at a bank at 5%. Did I gain or lose? and how

much?

2. What is the difference between the true and bank discount on $1250 for 90 days at 6% ?

3. If John lends James $300 for 4 months, how long ought James to lend John $800 to equal the favor?

4. I have a note of $1225, due in 48 days. Needing the money immediately, I get it discounted at a bank at 6%. How much shall I receive? and how much will the bank take? No grace.

5. Three men hire a pasture for $60. A put in 4 cows for 11 weeks, B 5 cows for 12 weeks, and C 8 cows for 5 weeks. What ought each to pay?

6. If a man 5 ft. 10 in. high casts a shadow 4 ft. 6 in. long, what is the height of a tree which casts a shadow 85 feet long at the same time?

7. Give the inverse ratio of

33 to 63
4% 8 1

8. Required the ratio of £21 15s. to £6 15s.

9. A, B, and C entered business with a certain capital, Jan. 1, 1894. Jan. 1, 1896, they find the business to be worth $7000, which is a gain of 40% on the original capital. A's share of the gain is 50%, B's share 30%, and C's share 20%. What amount did each invest?

10. What did each gain?

438. 1. If 4 barrels of flour will last 3 persons for 1 barrels will be required to last 10 persons

many

year, how 10 months?

2. The shadow of a flag-staff at a certain time of day was 64 feet in length. A line stretched from the top of the flag-staff to the extremity of the shadow measured 150 feet. Required the height of the staff.

3. Messrs. Stevens, Jones, & Payne form a partnership, placing into their business $350, $450, $1500 respectively. They make $570 the first year. What share of the profits should each receive?

4. By selling 3% stock at par, and buying 4% at 110, a man increases his income $105 a year.

of the 3% stock does he sell?

How many shares

5. A, B, and C entered into a partnership. A furnished $1200 for 8 mo., B furnished $1600 for 9 mo., and C furnished $1000 for a year. They lose $560. What is each man's loss?

6. What is the length of a walk laid diagonally through a park which measures 60 rods on one street and 80 rods on another?

7. What will be the difference in ratio of income between 5% stock bought at 120 and 4% bought at 95?

8. A father dying left to his family a certain sum of money, of which the wife received $8000, his daughter $4000, and each of two sons $6000. What part of the whole did each receive?

9. If sugar costs 5 cents per pound and coffee 33 cents per pound, what is the ratio of the cost of the sugar to that of the coffee?

10. At $.50 per rod, how much will it cost to enclose a field of 80 acres, that is twice as long as it is wide?

439. 1. If the sale of coal at $.75 per ton above cost yields a profit of 183 %, how much must the seller add to this price to make a profit of 40% ?

2. At what price must a 4% stock be purchased to yield 5% on the investment?

3. If a pile of wood 38 ft. long, 4 ft. wide, and 5 ft. high costs $6250, what will be the cost of a pile 64 ft. long, 8 ft. wide, and 6 ft. high?

4. If 10 men, working 10 hr. a day for 13 da., can build a fence 200 rd. long, how many men, working 11 hr. a day for 10 da., can build 92 rd. of the same kind of fence?

5. The smaller of two numbers is 36, and one half of the ratio between it and the larger is 2. What is the larger number?

6. What number has the same ratio to 5 that has to ?

7. Find the mean proportional between 16 and 36. Between and 1.

8. What income on his investment will a man realize if he purchases 4% stock at 125 ?

9. If A's capital is $3000, and B's $2000, how much more should B invest at the end of 6 mo. that he may share equally with A at the end of the year?

10. What is the rate per cent of a tax for $52.881 on property assessed at $3525.50 ?

440. 1. Write your own promissory note for $200, with interest payable in ninety days from to-day to any person you choose.

2. On what month and day would your note become due, including days of grace ? Give one reason why the note is void (worthless). Find the amount due on your note at its maturity.

3. What is the time of day when the time past noon equals the time to midnight? When the time past noon equals the time to midnight? When the time past noon equals the time to midnight?

4. A cask can be emptied by a 4-inch faucet in 4 hours. In what time can it be emptied by a 14-inch faucet?

5. Explain the difference between factor and root; between product and power.

6. A and B divide $90 in the ratio of to §. What is each one's share?

7. If a tank 13 ft. long, 74 ft. wide, and 3 ft. deep holds 73 barrels of water, how wide must another tank be that is 9 ft. 9 in. long, 4 ft. 10 in. deep, and holds 89 barrels ?

9. A milkman's quart measure is too small by one gill. At 5 cents a quart, how much does he dishonestly make in the month of June, if he sells 500 false quarts daily?

10. Find the length of the diagonal of an are of land in the form of a square.

MENSURATION.

441. The process of measuring lines, surfaces, and solids is Mensuration.

442. A Line is that which has length, without breadth and thickness.

443. A Straight Line is the shortest distance between two points, or a line that does not change its direction at any point.

444. A Curved Line changes its direction at every point.