3. 15 bales cotton, average weight 490 lb., @ 84.
4. 130 bbl. flour, 200 lb. to the barrel, @ 16.
5. 124 bbl. flour, 200 lb. to the barrel, @ 17.
6. 1 carload grain, weighing 27,500 lb., @ 14.
7. 256 sacks flour, 98 lb. to the sack, @ 12¢
8. 32,800 lb. grain @ 714.

9. 1 carload cotton seed products, weighing 23,800 lb., @ 12¢.

10. 1 carload cotton seed hulls, weighing 28,600 lb., @ 14.

11. 1 carload cotton seed meal, weighing 42,000 lb., @ 16.

12. 1 carload cotton seed oil, weighing 43,600 lb., @ 5%.

13. 1 carload brick, weighing 45,000 lb., @ 5.

14. 1 carload fire brick, weighing 27,000 lb., @ 141. 15. 1 carload common brick, weighing 47,000 lb., @ 51.

16. 1 carload mules, weighing 29,000 lb., @ 23 ¢. 17. 1 carload cattle, weighing 25,000 lb., @ 14 ¢. 18. 1 carload sheep, weighing 15,500 lb., @ 15. 19. 1 carload crude petroleum, weighing 42,000 lb., @ 94.

20. 1 carload asphaltum, weighing 27,000 lb., @ 15¢. 21. 1 carload melons, weighing 20,500 lb., @ 19 ¢. 22. 5880 lb. molasses @ 7. 23. 19,200 lb. sugar @ 48¢.

24. The freight rate on coal in cents per ton of 2000 lb. from Eagle Pass to the points was in 1906:

Weimer 138¢

Flatonia 127

Beaumont 217 ¢

Gonzales 121

Columbus 140¢
Schulenburg 134¢

Find the cost of shipping 1 carload of coal, weighing 39,000 lb., from Eagle Pass to each of these points.

25. Find the cost of shipping 105,000 lb. gravel from Austin to San Antonio at 60¢ per ton of 2000 lb.

26. Find the cost of shipping 116,000 lb. crushed rock from Clay Quarry to Houston at 671 per ton of 2000 lb.

27. Find the cost of shipping 130,000 lb. crushed rock from Jacksboro to Fort Worth at 50 per ton of 2000 lb.

28. Find the cost of shipping a carload of sand, weighing 50,000 lb., from Sand Pit to San Antonio at 40¢ per

ton of 2000 lb.

29. Find the premium on a $5500 life insurance policy at $21.50 per $1000.

30. Find the premium on a life insurance policy for $4500 at $25.30 per $1000.

31. What is the premium on a life insurance policy of $6500 at $19.92 per $1000?

32. Find the premium on a life insurance policy for $10,500 at $29.80 per $1000.

33. Find the premium on a life insurance policy for $8500 at $51.20 per $1000.

34. A man insured his life for $9450. Find the annual premium at $62.40 per $1000.

35. If the man (Ex. 34) lived 19 years after taking out his policy, did the Insurance Company gain or lose?

PERCENTAGE

Fractions having 100 for denominator are used so extensively that they receive special attention and give us some new expressions.

Thus is read six hundredths; but may also be read as six per cent, and it may be written as .06 or 6 %. Per cent means one in each hundred, or by the hundred. The symbol, %, means per cent, and is placed directly after the number with which it is used. It signifies that the number is the numerator of a fraction whose denominator is 100.

=

Any per cent is readily written as a decimal by pointing off two places. Thus: 7% = .07, 25% .25, 115%=1.15. 7% means 7 for each 100; 1; or .07.

25% means 25 for each 100 25
; 100 or .25.

115% means 115 for each 100; 11; or 1.15.

By writing the denominator and then reducing the fraction it is easy for us to see that:

In solving problems we usually write the per cent as a decimal and use it according to the methods that we have learned for decimals.

Example 1. In a city school system there are 5250 children in attendance. If 84% are promoted, how many are promoted?

84% of 5250 is the same as .84 × 5250 = 4410.

Example 2. Find 58% of 3880.

Find:

58% of 3880 means .58 × 3880 = 2263}.

1. 9% of $84.

EXERCISE 44

14. 7% of $1250.

27. A man whose salary is $1750 a year saves 15% of it. How much does he save?

28. In a city school system there are 8250 children; 54% of this number are girls. How many girls in these schools? How many boys?

29. A farm of 175 acres has 24% woodland. How many acres of woodland in the farm?

30. A house costs $4740. The lot on which it is built cost 32 % of the value of the house. Find the cost of the lot.

31. In a certain year the number of rainy days was 20% of the number of days in the year. How many rainy days were there? How many fair days?

32. A lawyer charged 6% for collecting a debt of $3720. Find his fee. How much did he remit to his client?

12. 58% of $7560.
13. 6% of $4515.
14. 131% of $4845.
15. 26% of $3900.
16. 463% of $2400.

17. 55% of $3600.
18. 116% of $672.

19. A man sells his house for $1800. If he paid for it 83% of the price at which it was sold, what did the house cost?

20. A shoe dealer sold $720 worth of shoes. The shoes cost him 66% of the selling price. Find the cost price of the shoes.

21. In an apple orchard of 840 trees 58% bore fruit. How many trees were fruit-bearing?

22. A ranchman lost during a blizzard 16% of his sheep. If the number in his flock was originally 960, how many did he lose, and how many were left?

23. If the area of a country is 1230 square miles, and 75% of it arable land, how many square miles are arable land?

24. Piles used in the construction of a railroad bridge are 42 ft. long, and 83% of their length is beneath the water. Find the length in the water.

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