12. The championship record in baseball in a certain year was 52 games won, 14 lost. What per cent of the games were won?

13. One of the best records of baseball in recent years was when Brooklyn won the pennant with a total of 82 games won, 54 lost. What was the per cent of games won?

14. Two of the best running averages in baseball were 597 times at the bat, 139 runs, and 543 times at the bat, 145 runs. What was the per cent of runs in each case?

15. The area of the Atlantic Ocean is 24,651,410 sq. mi., and this is 49% of the area of the Pacific Ocean. What is the area of the latter?

16. A boy last year weighed 63.9 lb., which was 10% less than he weighs now. The 63.9 lb. is what per cent of his present weight? How much does he weigh now?

17. The population of the earth at the beginning of the Christian era is estimated at 54,000,000. At the opening of this century it was estimated at 1,487,900,000. The latter population is what per cent of the former?

18. Of the 161,800,000 people who spoke European languages in 1800, 31,450,000 spoke French. Of the 401,700,000 in 1900, 51,200,000 spoke French.

cent spoke French in each of these years?

What per

19. Of the same (Ex. 18) totals, 20,520,000 spoke English in 1800, and 111,100,000 in 1900. What per cent spoke English in each of these years?

20. I own a half interest in a farm worth $6000. The annual incomes from my share for the last five years have been $120, $90, $178, $210, and $152. What has been the average annual rate of income?

21. A bar of iron 1 in. in diameter and 1 ft. long weighs 3.368 lb. What is the weight when the length is increased 25%?

22. A man bought a house and lot in a village for $3480, and sold it at an advance of 12%. What was the selling price?

23. If the weight of an iron plate 1 ft. square and 1 in. thick is 40.42 lb., what is the weight when the thickness is decreased 12%?

24. A factory sells $133,833.48 worth of goods in a year, the cost of manufacturing being $101,389. The gain is what per cent of the cost?

25. A factory sells $100,606.41 worth of goods in a year, the cost of manufacturing being $91,878. The gain is what per cent of the cost?

26. If 14 cu. ft. of chalk weighs 1 ton, and clay is 30% lighter than chalk, and sand is 20% lighter than clay, how many cubic feet of clay to a ton? How many cubic feet of sand?

27. A grain dealer bought 9000 bu. of wheat at 85 ct. a bushel. He sold a third of it at an advance of 33%, a fourth of it at an advance of 25%, and the rest at 90 ct. a bushel. How much did he gain?

28. A dealer bought 2000 tons of coal for $9000. He sold 600 tons at $5.25 a ton. A strike then occurring, he was able to sell the rest at $6.75 a ton. What per cent did he make on his investment?

29. How much is 25% of $400? $400 is 25% of what number? $400 increased by 25% of itself is how much? $400 decreased by 25% of itself is how much? What sum increased by 25% of itself becomes $400?

1. The rotunda of the capitol at Washington is 95 ft. 6 in. in diameter, and the interior is 185 ft. 3 in. high. The diameter is what per cent of the height?

2. The tallest church spire in the world is that of the Cologne cathedral, 501 ft. The dome of the capitol at Washington, 287.5 ft., is what per cent as high?

3. The tallest column in the world is the Washington monument, 555 ft. high. This is what per cent of the height of the Alexander column at St. Petersburg, 175 ft.?

4. The greatest altitude above the sea, in the state of Delaware, is 280 ft. The height of a certain office building in New York is 322 ft. The office building is what per cent higher than the Delaware altitude?

A

5. The largest cathedral in the world is St. Peter's at Rome. It has a standing capacity of 54,000 persons. school hall with a standing capacity of 405 persons has what per cent of floor space as compared with St. Peter's?

276. Per cents off. Sometimes merchants have bargain sales, to dispose of odd pieces or of goods that are going out of style. At such times they usually sell goods at a certain " per cent off."

For example, goods marked $2.50, but sold 10% off, sell at $2.50 -10% of $2.50, or $2.25.

Merchants who sell at wholesale, that is, in large quantities to dealers, sell at a certain per cent off.

$2.50

.25

$2.25

ORAL EXERCISE

Find the price that must be paid for goods marked as stated in these examples, and discounted at the rates given:

277. Several discounts. In some kinds of business two or more discounts are allowed. For example, a dealer may buy $200 worth of hardware with discounts of 20%, 10% (20% and 10%). This means that 20% is to be deducted, and then 10% from the remainder.

The $160 less 10% is $144, the cost, or net price.

ORAL EXERCISE

1. From $50 take 10%, and 10% from the remainder. 2. From $200 take 20%, and 1% from the remainder. 3. From $100 take 25%, and 10% from the remainder. 4. From $500 take 20%, and 25% from the remainder. 5. A man bought some paper at a marked price of $80, with discounts of 25%, 10%. How much did he pay?

WRITTEN EXERCISE

How much must be paid for goods marked and discounted as stated in Exs. 1-10?

11. What is the difference between a discount of 50% on $800, and the two discounts of 25%, 25%?

12. Is there any difference between a discount of 10%, 5% on $900, and that of 5%, 10%? How is it on $400? on $200? on $1200?