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6. There were 60 classes in the Washington School. If 40 classes were members of the Junior Red Cross, what per cent of the school belonged to the Junior Red Cross?

7. Of the $360 collected by the Adams School for the Junior Red Cross, $90 was obtained through the sale of articles made by the pupils. What per cent of the receipts was this sum?

8. Our auditorium is 40 ft. wide and 60 ft. long. What per cent of the length is the width? What per cent of the width is the length?

9. The number of seats in this auditorium is 240. At the senior assembly on Friday, there were present 80 eighth-grade pupils, 120 seventh-grade pupils, and 40 sixth-grade pupils. What per cent of all the seats were occupied by the eighth-grade pupils? by the seventh-grade pupils? by the sixth-grade pupils?

10. Of the 150 pupils in the seventh grade of the Eliot School, 90 belonged to the School Athletic Association. What per cent did not belong to this association?

11. On Jan. 1, 1600 pupils in the Jefferson School owned Thrift Stamps. If the register of that school was 2400 on that day, what per cent of the school owned Thrift Stamps?

12. Edgar had $18 in the school bank and drew out $4 for Thrift Stamps. What per cent did he withdraw?

13. Mr. Waters owed Mr. Bannard $600. He paid $150 on account. What per cent of the debt did he pay?

14. A manufacturer allowed a discount to all his customers for prompt payment. If a customer's discount on a $60 bill was $3, what per cent discount was he allowed?

15. Edward Morse advertised shirts costing $3 at a reduction of $.50. What per cent reduction was this?

16. A newsboy started out with 60 papers. He sold all but 10 papers. What per cent of his stock did he sell?

17. Mr. Ellison and Mr. Carlson were partners in business. Mr. Ellison contributed $8000, and Mr. Carlson, $4000, to the firm's capital. What per cent of the capital was contributed by each?

18. A man slept 8 hr. per day of 24 hr. What per cent of a full day did he sleep?

19. In a geography test of 20 questions Alice answered 18, Edith, 16, Florence, 15, Stella, 12, and Louise, 14. What per cent of the questions did each answer?

20. An egg candler found that of the 1600 eggs he examined one day, all but 200 were good. What per cent of all were not good?

21. If a ton of iron ore (2240 lb.) produced 1120 lb. of iron, what per cent of the ore was iron?

22. If the school day is 5 hr. long and 1 hr. 15 min. a day are required for Arithmetic, what per cent of the school day is spent in teaching Arithmetic?

23. If 30 min. per day are allowed for recreation, what per cent of the school day is given to recreation?

24. If a man asked $120 for his furniture and accepted $90, what per cent reduction did he allow?

[With pencil]

1. A man earning $4500 a year saves $750 a year. per cent of his salary does he save?

What

2. A man's house is worth $25,000 and he insures it for $22,500. For what per cent of its value does he insure the house?

3. In a certain school there are 250 girls and 350 boys. What per cent of the school are girls? boys?

K. G. Ar. by Gr. 7th

4. The average daily register of the Lincoln School last year was 1800. The average daily attendance was 1720. What was the per cent of attendance for the year?

5. If 170 pupils of the 1800 pupils were not promoted, what per cent of the pupils was promoted?

6. An automobile is priced at $1600 but can be bought through an agent for $1450. What per cent reduction is that? 7. A merchant deducted $9.10 from a bill of $140, as discount. What per cent discount did he give?

8. Mr. Andrews, a manufacturer, allowed a discount of $18.75 from a bill of $250 sent to Mr. Downs. What per cent discount did he allow?

9. My gas bill for September was $3.50; for October it was $3.75. What was the per cent of increase?

10. My electric light bill for May was $2.50; for June it was $2.00. What was the per cent of decrease?

11. A merchant failing in business owed $15,600. He paid his creditors $4680. What per cent of his debts did he pay? 12. What per cent of an acre is a strip of land containing 96 sq. rd.? 120 sq. rd.? 200 sq. rd.?

13. A jobber had 400 yd. of velvet on hand. He sold 96 yd. to a milliner, 220 yd. to a dressmaker, and the rest to a department store. What per cent did he sell to each?

14. A man owned two millinery stores. His yearly purchases for his Boston store amounted to $12,500; for his Albany store, to $7500. (a) What per cent of the Boston store's purchases were those of the Albany store? (b) What per cent of all his purchases were those of the Boston store? (c) What per cent of the Albany store's purchases were the Boston store's purchases?

15. The receipts of the Albany store were $16,000; those of the Boston store were $24,000. What per cent of the total receipts were the Boston store's receipts? the Albany store's receipts?

Finding a number when a per cent of it is given.

You have learned that there are 100% in any unit. Thus, there are 100% in a desk, in the number 5, in the base.

Example: If 1% of a number equals 10, what is the number?

WORK

Since 1% of the number=10, 100% of the number, or the whole number=100X10=1000, Ans. [Without pencil]

1. If 1% of a number equals 8, what is the number?

2. If 1% of a number equals, what is the number?

3. If 5% of a number equals 10, how much is 1% of the number? What is the number?

4. If 8% of a number equals 24, how much is 1% of the number? What is the number?

Example: If 6% of a number equals 54, what is the number?

WORK

.06 n=54_n=54÷.06=900, Ans.

5. If 12% of a number equals 36, what is the number? 6. If 7% of a number equals 14, what is the number?

7. Find the number of which 4% is equal to 16. 8. Find the number of which 20% is equal to 40.

Find the number of which:

α

9. 8 is 2%

10. 9 is 3%

11. 15 is 5%

b

60 is 12%

40 is 8%

30 is 6%

Example: If of a number equals 9, what is the number?

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12. If of a number equals 30, what is the number? 13. If of a number equals 20, what is the number? 14. If of a number equals 9, what is the number ? 15. Find the number, of which is equal to 20.

16. Find the number, of which is equal to 40.

NOTE. Change per cents to fractional equivalents, whenever convenient.

Example: If 374% of a number equals 3, what is the number?

[blocks in formation]

17. If 20% of a number equals 10, what is the number? 18. If 333% of a number equals 5, what is the number? 19. Find the number, 25% of which equals 6.

20. Find the number, 87% of which equals 21. 21. Find the number, 163% of which equals 10.

State the answers quickly :

a

22. 60 is 5% of what number?
23. $75 is 20% of what number?
24. $30 is 33% of what number?
25. 20 is 163% of what number?

b

20 is 12% of what number? 40 is 25% of what number? 60 is 37% of what number? 20 is 62% of what number?

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