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Exercise

1. Find 12% of 46 2. Find 18% of 72 3. Find 22% of 112 4. Find 28% of 256 5. Find 35 % of 448 6. Find 41% of 64 7. Find 44 % of 69 8. Find 55% of 115

9. Find 64% of 212 10. Find 68% of 654 11. Find 72 % of 56 12. Find 76 % of 62 13. Find 84 % of 212 14. Find 88% of 256 15. Find 95 % of 864 16. Find 97 % of 978

Rule. - To find the rate when the base and percentage are given, divide the percentage by the base.

EXAMPLE 1. What per cent of $ 400 is $ 28?

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13. 25 is what per cent of 75? 14. 20 is what per cent of 50 ? 15. 50 is what per cent of 20 ? 16. 20 is what per cent of 60 ?

17. 30 is what per cent of 300 ? 18. 45 is what per cent of 250 ? 19. 55 is what per cent of 220 ? 20. 114 is what per cent of 45?

Exercise

1. 32 is what per cent of 42 ? 11. 65 is what per cent of 91 ?' 2. 34 is what per cent of 40 ? 12. 68 is what per cent of 112? 3. 45 is what per cent of 62? 13. 72 is what per cent of 200 ? 4. 52 is what per cent of 76? 14. 72 is what per cent of 39? 5. 55 is what per cent of 205 ? 15. 72 is what per cent of 170 ? 6. 58 is what per cent of 192 ? 16. 41 is what per cent of 81 ? 7. 64 is what per cent of 96 ? 17. 81 is what per cent of 41 ? 8. 64 is what per cent of 48? 18. 92 is what per cent of 93? 9. 64 is what per cent of 65 ? 19. 94 is what per cent of 36? 10. 374 is what per cent of 45 ? 20. 98 is what per cent of 110?

Rule. – To find the base when the percentage and the rate are given, divide the percentage by the rate.

EXAMPLE 1. 378 is 18% of EXAMPLE 2. $42 is 31 % of what number?

what ? 2100 Base

1200 Base Rate .18 378.00 Percentage Rate .035 42.000 Percentage 36

35 1800

7000

ORAL DRILL

1. 14 is 50% of what number?
2. 30 is 25 % of what number?
3. 30 is 75% of what number?
4. 36 is 10 % of what number?
5. 20 is 5% of what number?

6. 600 is 60 % of what number? 7. 12 is 121 % of what number? 8. 22 is 163 % of what number? 9. 11 is 81 % of what number? 10. 10 is 64 % of what number? 11. 30 is 371 % of what number? 12. 50 is 62 % of what number? 13. 50 is 83 % of what number? 14. 700 is 871 % of what number? 15. 3.5 is 121 % of what number? 16. 35 is 121 % of what number? 17. .5 is 621 % of what number? 18. $.30 is 163 % of what number? 19. $2.50 is 331 % of what number? 20. $ 10.50 is 25% of what number?

Exercise

1. 12 is 15% of what number? 2. 14 is 16 % of what number? 3. 22 is 24 % of what number? 4. 26 is 8 % of what number? 5. 36 is 16 % of what number? 6. 42 is 12% of what number? 7. 45 is 18% of what number? 8. 52 is 22% of what number? 9. 54 is 24% of what number? 10. 56 is 26 % of what number? 11. 58 is 42 % of what number? 12. 62 is 55 % of what number?

13. 64 is 141 % of what number?
14. 68 is 82 % of what number?
15. 72 is 87 % of what number?
16. 61 is 22 % of what number?
17. 75 is 321 % of what number?
18. 82 is 91 % of what number?
19. 91 is 95.5 % of what number?
20.94 is 110 % of what number?

Profit and Loss

Net and Gross Cost. - The amount actually paid for an article is called its prime or net cost.

When transportation charges, insurance, commission for buying, etc., are added, the result is the gross cost.

Net and Gross Profit. The difference between the gross cost and the actual selling price is the gross profit. The gross profit less the selling costs such as salaries, traveling expenses, commissions, etc., is the net profit. In case the gross cost is greater than the net selling price, there is a loss.

It is pretty generally the custom among merchants that the cost of operating is figured upon the sales. Both the net and gross gains are figured upon the sales.

EXAMPLE. If a piece of property is bought for $ 3500 and sold for $4200, what is the gain per cent ? $ 4200 Selling price

.20 3500 Cost

Cost 3500 700.00 Profit
$ 700 Profit

700 0
0

20 % gain

Exercise

1. From a farm of 160 acres, 30 acres were sold. What per cent was sold ?

2. If eggs are bought at 60 cents a dozen and sold at 75 cents a dozen, what is the per cent profit ?

3. A real estate dealer bought three lots for $ 2000, $ 2800, and $3200 respectively. He sold the first at an advance of 8%; the second at an advance of 10 %, and the third at an advance of 15%. What was his total gain?

4. A dealer bought 600 bushels of wheat at $ 1.84 and 800 bushels at $ 1.86. He sold it all at $ 2.05 a bushel. What was his gain per cent?

5. If a rug is bought for $ 50 and sold for $112.50, what is the percentage of profit?

6. The excavation of a certain cellar cost $ 175. At the same rate what is the cost of an excavation 20 % wider, 50% longer, and 25 % deeper?

7. If chairs are bought at $ 25 per dozen and sold at $ 2.75 apiece, what is the percentage of profit?

8. If men's hats are bought for $ 28 a dozen and retailed at $ 3.25 each, what per cent gain is made ?

9. If pocket knives are bought at $ 15 a dozen and sold at $1.75 a piece, what is the percentage of gain?

10. If lead pencils are bought for $ 3.50 a gross and sold at 5 cents apiece, what is the per cent gain?

11. If notebooks are bought at $9 a gross and sold at 10 cents each, what percentage of profit is made ?

12. If cartridges are bought for $ 12 a thousand and sold in boxes of 50 each at $1.75 per box, what is the per cent profit?

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