Of 600?

Of 300 dollars?

2. 7 is what part of 100? 9 is what part of 100? 1 is what part of 100?

One one-hundredth of a number is one per cent of it; two hundredths, two per cent.

The term per cent means by the hundred.

Any per cent of a number is so many hundredths of it. The rate per cent is the rate per hundred. 3. 6 hundredths of a number is what per cent of it? 4 hundredths? 10 hundredths?

17

100

4. What per cent of a number is of it? ? 25? 165? 100 ? 150?

68

100 100

100?

5. What per cent of a number is .05 of it? .15 of it? .45? .121? .66? .03?

The character %, called the per cent sign, is used for the words per cent. 8% is read, 8 per cent.% is read, § of 1 per cent.

6. How many hundredths of a number is 6% of it? 9% of it? 10 %? 7% ? 50%? 150 % ?

2. Any per cent of a number may be expressed in four ways: In words, as a common fraction, as a decimal fraction, and by the per cent sign.

1. Express decimally: 6%, 11%, 125%, 150%.

125 % = 1.25

2. Express decimally: 12%, 18%, 17%, 331%, 871%, 1121%.

183 % = .183

3. Express, first as a common fraction, then as a decimal: 3%, 5%, 8%, 121 %, of 1, of 1 per cent, of 1, of 1 per cent, 1 per cent, 3 per cent, of 1 per cent.

First, of 1% = 4 of yoo = ; second, 2% expressed decimally = .003. Ans.

% is how many ten-thousandths, expressed decimally.

Write and complete the following table:

3. To find a given per cent of any number.

1. What is 5% of 300?

5% of 300 is 18 of 300. 1 of 300-3. 1 of 300 = 15 5% of 300 is 15. Expressed decimally, 300 × .05=15.

2. What is 4% of 600? 800? 900? 250 ?

3. What is 8% of 200? 300? 480? 560? Express the rates decimally.

4. What is 7% of 350? 9% of 630? 10% of 900?

5. What is 81% of $984.36? (81% = .081) 6. What is 6% of $650.80? 12% of $500 ? 7. What is 3% of 360 days?

8. What is 110 % of 250 bushels?

9. What is 200 % of 250 bushels?

10. What is % of $60.50? }% of $45?

11. I bought a lot for $500, and sold it for 8% more than it cost me; what was my gain?

12. If a lot is bought for $500, and sold for 6 % less than the cost, what is the loss?

13. In a school of 200 pupils 6 % are absent; how many are absent? How many are present?

14. A man having 400 acres of land gave 25% of it to his son; how many acres did he give away?

4. To find what per cent one number is of another.

1. 4 is what per cent of 16?

The first step in such problems is to find what part one number is of another. 4 is what part of 16?

1 is of 16. 4 is or of 16. Expressed decimally, 16) 4.00 (.25

=

=

% 25 %.

32

80

80

2. What per cent of 12 is 4? Of 60 is 12? Of 56 is 8?

3. 8 is what per cent of 72? 15 of 45?

4. What per cent of 90 cents is 15 cents? 12 cents is what per cent of 75 cents?

5. What per cent of $640 is $48?

6. $27 is what per cent of $600? $5.10 of $85? $17 of $85? 50 cents of $2?

7.mile is what per cent of 2 miles? 61 bushels of 25 bushels ?

8. A boy bought oranges at 3 cents apiece, and sold them at 4 cents apiece. Compare the gain with the cost. What per cent did he make on the cost?

9. A merchant bought silk at $3 a yard, and sold it at $4 a yard. Compare the cost with the selling price; the cost is what per cent of the selling price?

10. A rug which cost $3 is sold for $4. $4. The selling price is what per cent of the cost?

NOTE. The selling price is the cost plus what per cent of the cost?

5. To find a number when a per cent of it is given. 1. 30 is 6% of what number?

1% of the number is of 30, which is 5. The number required, or 100 %, is 100 times 5, which is 500. 30 is 6% of 500. The same result is obtained by dividing the given number by the rate per cent expressed decimally.

(30 x 100) = (30÷.06)

2. 80 is 10% of what number? 40? 60? 3. 60 is 30% of what number? 90? 120? 4. 100 is 50% of what number? 80? 200? 5. 80 is 100 % of what number? 200? 50? 6. 150 is 150% of what number? 15? 25? 7. 80 is 12% of what number?

Express decimally, .125) 80.000 (640. Ans.

14. A house rents for $180, which is 6 % of its

value; what is its value?