PERCENTAGE Lesson 37 1. A quantity divided into thirds is measured by 3 units. By how many units is a quantity measured that is divided into fourths? Into fifths? Fortieths? Sixtieths? Hundredths? 2. A quantity considered in percentage is measured by 100 units, of the quantity by of 100 or 25 units. Thus of a quantity is 25 hundredths or 25 per cent (25%) of it. 3. What per cent of a quantity is of it? ?? 20? ?? ? 4. What is meant by saying that 9 = 50% ? 5. Express the following fractions in per cent : 3 9 (a) 1, 1, 4, 4; 1, 2, 3, 1, §; 10, 10, 10, 10; 20, 20, 3 26, 17; 25, 285, 18, 24. (1) }, }, }; }, † ; 1, 8, §, J ; 1, 3, 4, 5, 3, 8 ; 11; 吾; 12; 15: 16 6. What is the ratio of 1 qt. to 1 gal.? What per cent is 1 qt. of 1 gal.? What is the ratio of 1 ft. to 1 yd.? What per cent is 1 ft. of 1 yd.? 7. What per cent is 1 pt. of 1 qt.? 1 dime of $1? 1 da. of 1 wk.? 1 in. of 1 ft.? 1 ft. of 1 fathom? 1 sq. ft. of 1 sq. yd.? 1 sq. ch. of 1 A.? 1 oz. of 1 lb. Avoir.? 1 oz. of 1 lb. Troy? 1 qt. of 1 pk.? 1 sh. of £1? 8. What per cent is 2 in. of 1 ft.? 1 yd. of 1 rd.? A 3-ft. square of 1 sq. yd.? A 2-ft. square of a 3-ft. square? 8 oz. of 21 lb. Avoir.? 30 min. of 2 hr.? 4 units of 2 doz.? 1 dm. of 1 m.? 1 qr. of 1 rm.? 77 cu. in. of 1 gal.? 1 rd. of 1 ch.? 9. What is the ratio of $3 to $4? What per cent is $3 of $4? What is the ratio of $200 to $600 ? What per cent is $200 of $600 ? 10. What per cent of $2 is 50? Of $64 is $24? Of 84¢ is 14? Of 48¢ is 6? Of $56 is $49? Of $225 is $45? Of $2500 is $400? Of $5.28 is $1.32? Of $5 is $2.45? Of $3 is $1.25? Of $1 is 59¢? 11. Memorize the following table: 16? What is meant by saying that 61 % = In the following examples give the statements of balance : 12. A grocer bought tea at 75¢ a lb., and sold it at a gain of 15% a lb. What is the ratio of the gain to the cost? What per cent of the cost did he gain? 13. A merchant bought flour at $6 a bbl., and sold it for $7.50 a bbl. Find his gain per cent. 14. Bought cloth at 80 a yd., and sold it for 70¢ a yd. Find the loss per cent. 15. At the end of the season the following articles were advertised in the Chicago papers as marked down in price. Find in each case the rate per cent of reduction : 1. Tan shoes from $5 to $3.75. 4. Screen doors from $1 to 29. 6. Rockers from $2.50 to $1.70. 13. Veils from $5 to $2.25. 14. Dress skirts from $8 to $5.75. 15. Bookcases from $12.50 to $7. 16. Towels from 15 to 123. 19. Curtains from $21 to $11 25. Jackets from $20 to $71. Lesson 38 What fractions in their lowest terms are equiva lent to the following per cents? 1. 1%, 2%, 4%, 5%, 20%, 25%, 50%, 60%, 100% ? 2. 75%, 45%, 36%, 90%, 18%, 32%, 56% ? 3. 121%, 621%, 871%, 371%, 331%, 66% ? 4. 16%, 831%, 81%, 111%, 142%, 6%, 6% 5. 9111%, 444%, 55 %, 888 %, 277% ? 6. 100%, 120%, 125 %, 225 %, 350 %, 475% ? 7. A lot which cost $600 was sold at a gain of 40%. The gain is equal to what part of the cost? What was the gain? The selling price? 8. Cloth which cost 42¢ a yd. was sold at a loss of 16%. The loss was what fraction of the cost? What was the loss on each yard? The selling price? 9. Silk which cost $3.60 a yd. was sold at an advance of 331%. Find the gain and the selling price per yd. 10. A farmer who had 360 sheep sold 223% of them. How many did he sell? How many did he keep? How 11. The following articles were advertised in the papers subject to the discounts given. actual selling price: 1. Tan shoes 2. Lace curtains. 3. Capes 4. Shirts 5. Towels 6. Towelling. 7. Parlor suits Find the $ 6.00 25 % 12. Find the selling price of the following articles subject to the discounts given : |