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1. What is the difference between the local and standard time of New York? of Albany?

2. What is the difference in local time between Berlin and Paris? Berlin and New York?

3. What is the difference in local time between Albany and San Francisco? Albany and Paris?

4. What is the difference in local time between New York and Chicago? Chicago and San Francisco?

5. When it is 1 P.M., standard time, at Chicago, what is the standard time at San Francisco? the local time?

6. When it is noon, local time, at Albany, what is the standard time there? What is then the standard time at Chicago?

What differences of local time correspond to these differences of longitude?

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16. C is of E.

17. D is of E.

15. A is of D. 18. Find 10%, or to, of 50, 175, 212, $327, $475.50. 19. Find 50%, or, of 86.4, $16.44, $244.50, $862.20. 20. Find 12%, or, of 16, 80, 96, 728, 488, 648, $840. 21. Find 163%, or, of 36, 66, 90, 720, 366, 540, $636. 22. Find 20%, or 3, of 75, 90, 250, 305, 555, 750, $3.50. 23. Find 25%, or 4, of 64, 96, 324, 4.40, 2.40, 320, $840. 24. Find 33%, or 3, of 63, 96, 3.33, 1.50, 630, 900, 324.

Sam is 6 years old, Nora is 9, and Tom is 12. Tell the following per cents:

25. Sam's age is what per cent of Tom's?

26. Sam's age is what per cent of Nora's?
27. Nora is what per cent older than Sam?
28. Sam is what per cent younger than Nora?

29. Nora's age is what per cent of Tom's? of Sam's? 30. Tom is what per cent older than Sam? than Nora? 31: Nora's age is what per cent of the sum of Sam's and Tom's?

32. Nora's age is what per cent of the product of Sam's and Tom's?

33. Sam's age is what per cent of the difference between Nora's and Tom's?

It is 3000 miles from London to New York, 1000 miles from New York to Chicago, and 2000 miles from Chicago to San Francisco. Tell the following per cents:

34. The distance from Chicago to San Francisco is what per cent of that from London to Chicago?

35. The distance from New York to Chicago is what per cent of that from London to San Francisco?

36. The distance from New York to Chicago has what ratio to that from Chicago to San Francisco?

37. The distance from New York to San Francisco has what ratio to that from London to San Francisco?

38. The distance from London to New York is what per cent greater than that from New York to Chicago?

39. The distance from London to New York is what per cent less than that from London to San Francisco?

67. Terms used. When we say that 5% of $400 is $20, we call 5% the rate, $400 the base, and $20 the percentage, terms already defined in the earlier treatment of the subject. 68. To find any per cent of a number, multiply the number by the rate.

That is, the percentage is the product of the base and rate.

69. The most important per cents. The per cents studied on page 84 are among the most important of all, and their common-fraction values must be thoroughly known before taking up the business arithmetic on page 138.

WRITTEN EXERCISE

1. How much is $448.64 plus 25% of itself? 2. How much is $369.36 less 33% of itself? 3. Express as per cents: 1, §. fr. 15, 32, 12. 4, , 11, 4. How much is 125% of $246.80? of $1234.40 ? 5. What is the interest on $750 for 1 yr. at 3%? 6. How much is 93% of $623? of $275? of $350 ? 7. What is the discount on $950 worth of goods at 15%? 8. If a village, formerly of 1460 inhabitants has gained 5% in population, what is its population now?

Express as common fractions in their simplest forms 9. 48%. 10. 40%.

11. 85%.

12. 284%.

13. 163%.

14. 221%.

15. 55%%.

16. 37%.

4

17. 77%. 18. 2731%.

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24. 5332%

21. 323%. 22. 27%. 23. 674%.

Using common-fraction equivalents, find:

25. 163% of 102.

27. 66% of $729.

26. 33% of $111.21.

28. 121% of $336.48.

ORAL EXERCISE

1. Since 125% = 14, find 125% of $400.

2. Find 150% of $200, $300, $500, $1000.

3. Find 1333% of $300, $36, $360, $450, $600.
4. Find 116% of $60, 600 ft., 360 mi., 420 lb., 48 yd.

5. Since 75%

6. Since 66%

=

=

1-4, find 75% of 40, 400, 200, $360.

13, find 66% of 30, 66, 45, $300. 7. Since 87% = 1-1, find 87% of 8, 16, 32, 56, 88. 8. Since 80% = 1- }, find 80% of 50, 45, 75, $5000. 9. Since 83% = 1-, find 833% of 600, 60, 66, $36.

Find 125% of the following:

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