EXAMPLES. of $435=217·50. 1. What will 435 yards of cloth cost, at $0.75 per yard? 435 yards, at $1 per yard-$435. 435 yards, at 50 cents per yard 435 yards, at 25 cents per yard 435 yards, at 75 cents per yard= 2. What cost 13 pounds of tea, at 5s. 6d. per pound? of $435=108·75. $326-25. 3. What cost 37 dozen of eggs, at 1s. 4d. per dozen ? 37 doz. at 1s. per doz.=37s.=£1 17s. 37 doz. at 4d. or 3s. =123: = 12 4d. 4. If I receive 7 dollars for the use of 100 dollars for one year, how much ought I to receive for the use of 100 dollars for 7 months, 18 days? 1 year or 12 months gives $7 6 months equals of a year, gives $3.50 5. What cost 7 cords of wood, at $2.75 per cord? Ans. $20-625. 6. What is the value of 284 pounds of butter, at 11 cents per pound? Ans. $3.1625. 7. What is the value of 500 yards of tape, at 24 cents per yard? Ans. $11.26125. 8. What must I give for 134 bushels of oats, at 2s. 4d. per bushel? Ans. £1 12s. 1d. 9. What cost 184 pounds of ham at 8 cents per pound? Ans. $1.50. 10. What cost 15 gallons of oil, at $0.75 cents per gallon? Ans. $11.8125. 11. What cost 4000 quills, at $2.25 per 1000 ? Ans. $9. 12. What cost 27 yards of carpeting at 6s. 6d. per yard ? Ans. £9 0s. 41d. 13. What is the value of 25 bushels of potatoes, at $0.314 per bushel? Ans. $7.8125. 14. What is the value of 54 spelling-books, at 12 cents per copy? Ans. $6.75. 15. What is the value of 47 reams of paper, at $3.25. per ream? Ans. $154.375. 16. What is the value of 30 gross of almanacs, at $2.25 per gross ? Ans. $68.625. 17. What cost 16 gallons of vinegar, at 1s. 4d. per gallon? Ans. 1£ 2s. 4d. 18. What is the value of 5 bushels of walnuts, at 8s. 6d. per bushel? Ans. £2 5s. 4d. 19. What cost 3 gross of matches, at $1.125 per gross? Ans. $3.9375. 20. What cost 325 bushels of apples, at 37 cents per bushel ? Ans. $121.875. 21. What cost 16 yards of cloth, at $34 per yard? Ans. $61.875, 22. If the interest on a certain sum of money is $7.35 in one year, how much will it be for 5 months? Ans. $3.367. 23. If the interest of $100 for one year is $6, how much is it for 10 months and 10 days? Ans. $5.163. 24. If a steam locomotive pass 18 miles in one hour, how far will it move in 50 minutes? Ans. 15. 25. If the interest of $100 for 12 months is $7, how much is it for 4 months? Ans. 2.524. 26. What must I pay for 14 cords of wood, 128 feet in a cord, at 64 cents per foot ? Ans. $10.00. 112. PERCENTAGE. THE term per cent. is an abbreviation of per centum, which means by the hundred. Thus, 5 out of 100 is 5 per cent. 6 out of 100 is 6 per cent. 7 out of 100 is 7 per cent. And so for other rates per cent. Different rates per cent. are most conveniently expressed by means of decimals. Thus, 1 per cent. is the same as 0.01. In many cases the rate per cent. is very concisely expressed by means of a vulgar fraction, as follows: Suppose we wish 5 per cent. of $1122, we must take To of it; this is done by multiplying by the decimal 0.05. OPERATION. 1122. 0:05. Ans. $56.10. Hence, to find the percentage of any number, we have this RULE. Multiply the given number by the percentage expressed in decimals, and the product will give the percentage sought. From what is per cent. abbreviated? And what does it mean? 5 out of 100 is what per cent. 6 out of 100 is what per cent.? 7 out of 100 is what per cent. ? What is the decimal expression for 1 per cent.? What for 2, 3, 4, &c., per cent. ? Repeat the Rule for finding the per cent. of a number. EXAMPLES. 1. What is 44 per cent. of $10000? 4 per cent. is 0.04. per cent. is 0.005. 4 per cent. is 0.045. OPERATION. $10000 0.045 50000 40000 Ans. $450.000 2. What is 1 per cent. of $730? 3. What is 3 per cent. of 5789 pounds? Ans. $7.30. Ans. 173-6716. 4. What is 4 per cent. of 365 bushels? Ans. 14·6bu. 5. What is 41 per cent. of $75.03 ? Ans. $3.37635. Ans. 164 15. Ans. $148.50. 8. A person laid out $222 as follows: he gave 21 per cent. of his money for calicoes; 15 per cent. for thread; 45 per cent. for silks; and the remaining 19 per cent. for broadcloths. How many dollars did he expend for each? He gave for calicoes, $46.62. 33.30. 99.90. 42.18. 9. A merchant having 500 barrels of flour, sold at one time 25 per cent. of it, at another time he sold 20 per cent. How many barrels did he sell at each of the remainder. time, and how many remain ? The first time he sold 125 barrels. Ans. The second time he sold 75 barrels. 10. A farmer raising 1097 bushels of wheat, gives 10 per cent. of it for thrashing, 10 per cent. of the remainder |