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13. 3 is % of what number?

14. What per cent of 9 is 204?

15. What number, increased by of itself, equals 10?
16. What number, increased by 25% of itself, equals 20?
17. 65 diminished by 5% of itself, equals what?

18. Buying price $100, selling price $112.50. Gain %?
19. Cost $80, profit 20%. Selling price?

20. What principal will give $30 yearly interest at 6%?

21. At of 1%, how much will I pay for insurance on $10,000?

22. If insurance costs 4%, how much can I get for $60?

23. Bought sugar at 4 per lb.; sold it for 5. Profit %?

NOTE. Per cent of profit is based upon the cost.

24. is what % of ?

(Reduce both to a common denominator.)

25. 1 is what % of 63?

PROFIT AND LOSS.

870. Slate Problems.

Find the profit or loss, and the selling price:

1. Cost $1,876; gain 15%.

2. Cost $36.75; loss 20%.
3. Cost $1,012.50; gain 163%.

4. Cost $875; loss 5%.

5. Cost $934.56; gain 12%.

Find the profit or loss per cent.

N. B. - Profit or loss per cent is based upon the cost.

6. Cost $600; selling price $618.

Gain or loss a % of cost. 18 = x% of 600.

7. Cost $1,203; selling price $802.

8. Cost $86.20; selling price $73.27. 9. Cost $908.40; selling price $1,090.08. 10. Cost $84; selling price $78.75. 11. Selling price $78.75; loss $5.25.

Gain or loss = x% of cost.

12. Selling price $150; gain $25.
13. Selling price $831.25; loss $43.75.
14. Selling price $1,051.38; gain $116.82.
15. Selling price $843.75; loss $168.75.

Find the cost, and the profit or loss:

16. Selling price $468.75; gain 25%.

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21. A man buys a horse for $275, and sells it at a profit of 20 per cent. How much does he gain?

22. A cow is sold for $75, on which the profit is $15. What is the gain per cent?

23. A lot is sold for $960, which is 20 per cent more than it Find the cost of the lot.

cost.

24. Tea that costs 32 per pound is sold for 48. What is the gain per cent?

25. A man buys a horse for $175 and sells it for $200. What per cent does he gain?

26. What per cent is lost on a horse costing $200, and sold at a loss of $25?

27. What is the selling price of dress goods costing 331 per yard, on which a profit of 12 per cent is made?

28. Sold a coat for $33.60, thereby losing 16 per cent. What was its cost?

29. How much did I gain on a house for which I paid $8,760, my profit being 21 per cent?

30. A man after spending 10 per cent of his money for clothing, 25 per cent for board, and 30 per cent for incidentals, has $70 left. What did he have at first?

31. The population of a city was 16,000 in 1880. In 1890 it was 22,000. What was the gain per cent in ten years?

(Which is the base?)

32. The population of a city was 30,000 in 1890, a gain of 6,000 over the previous census. What was the increase per cent?

(Have the correct base.)

33. 16 shares of bank stock, face (par) value $100 each, were sold at 27 per cent above the face value. How much was received for the stock?

34. What will be the cost of 84 shares of stock, face (par) value $50 each, at 3 per cent below par?

35. Find the interest on $784.50, at 4 per cent, for 3 years 7 months 15 days.

MEASUREMENTS.

871. Slate Problems.

1. A tank 18 feet long, 15 feet wide, contains 30 cubic yards. What is its depth in feet?

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2. The surface of the walls and the ceiling of a room 24 feet long and 12 feet high is 1,440 square feet. What is the width of the room?

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3. A man owns a rectangular plot of ground 132 feet long, 110 feet wide. He divides it into two equal parts by a fence running from the north-east to the south-west corner. What part of an acre does each piece contain?

Indicate operations. Cancel.

4. How many yards of fence will be needed to enclose a rectangular field, 80 rods long, containing 25 acres?

5. Make a diagram of a floor 6 yards long, 4 yards wide. Show how many strips of carpet, 27 inches wide, running crosswise, will be needed to carpet the room, no allowance being made for waste?

6. How many sheets of tin 6 inches by 4 inches will be required to cover a roof 20 feet by 30 feet, making no allowance for overlapping?

7. The owner of a lot 25 feet by 100 wishes to build around it a tight board fence 6 feet high. How many running feet of fence will there be? How many square feet?

(Draw the "development" of the fence, marking on it the dimensions.)

8. How

many boards 12 feet long, 6 inches wide, will it take to build such a fence?

9. A plot of ground 300 feet by 200 feet is bought at $181.50 per acre. It is sold in lots 100 feet square at $160 each. What is the profit?

10. How many cakes of ice 4 feet long, 2 feet wide, can be cut from a rectangular pond 320 feet long, 160 feet wide, no allowance being made for waste? (Cancel.)

11. If the ice is 14 feet thick, how many cubic feet of ice will there be? Find its weight in tons, at 57.5 pounds per cubic foot.

12. Give the length of a shed 15 feet high, 32 feet wide, that will exactly hold the ice cut from the above pond. (Cancel.)

13. The owner of a plot of ground 640 feet long, 440 feet wide, cuts two streets, each 40 feet wide, through the middle of the plot, one running north and south, the other east and west. How many square feet of land had he originally? How many square feet has he left for building purposes? (Make diagram.)

14. What will it cost him, at 60 per square yard, to make the above streets?

15. If the remaining ground is divided into building lots 25 by 100, how many lots will there be?

16. How many square yards of plastering will be required for the walls and the ceiling of a room 21 feet wide, 30 feet long, 9 feet high, deducting for 2 windows, each 6 feet by 3 feet, and a door 8 feet by 4 feet?

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