81. 1. What must be paid for insuring a house and furniture for $1000, at 14 per cent. premium ? * 5 ANALYSIS. Since the premium is 14 per cent., or τόσ, equal to of the amount insured, the premium on $1000 will be of $1000, or $124. Therefore, &c. 2. What will be the premium for insuring 200 barrels of flour, valued at $1200, at 4 per cent.? 3. What must I pay annually for an insurance of $900 upon my life, at 21 per cent. ? 4. What must be paid for insuring a case of cloths, valued at $600, at 13 per cent. premium? 5. What is the annual premium of insurance, at per cent., on a building valued at $4000? 6. If a merchant has his stock of goods insured for $2500, at of 1 per cent., what is the premium? 7. A man owns of a boat load of grain, valued at $1600, and insures his interest at 13 per cent; what premium does he pay? 8. At 2 per cent., what amount of insurance can I obtain for $18 premium? ANALYSIS. Since 2 per cent. premium is Too, or s's of the amount insured, $18, the given premium, will be equal to of the required amount of insurance; $18 is 5 of 50 times $18, equal to $900. Therefore, &c. 9. At 3 per cent., what amount of insurance can be obtained on a house for $75? 10. At per cent., what amount of insurance can be obtained on a boat load of flour, for $24? 11. What amount of insurance can be had for $45, upon a car load of horses, at 44 per cent. ? 12. If the rate is 14 per cent., and the premium paid is $91, what will be the amount of insurance obtained on a store and its contents? * The sum paid for insurance is called the premium. 82. 1. If a man buy a horse for $90, for how much must he sell him to gain 20 per cent.? ANALYSIS. Since he gains 20 per cent., or 1, equal to of what the horse cost him, he must sell him for of what he cost; of $90 is $18, and of $90 is 6 times $18, or $108. Therefore, &c. 2. A sleigh was bought for $50, and sold for 8 per cent. more than it cost; what was it sold for? 3. Bought a quantity of sugar for $84, and sold it at an advance of 121 per cent; what was it sold for? 4. A grocer bought some tea for $45, but finding it damaged, he was obliged to sell it at a loss of 10 per cent.; what did he sell it for? 5. Paid $12 for 15 yards of cloth; what must it be sold for a yard to gain 25 per cent.? 6. A drover bought 60 sheep for $180, and sold them at a loss of 20 per cent. on the cost; what did he receive per head for them? 7. A grocer bought 440 lemons for $12, and after throwing away 10 per cent. of them, lacking 4, as worthless, he sold the remainder so as to gain 331 per cent. on the cost of the whole; what did he sell them for apiece? 8. Bought 6 barrels of flour for $40; for what must it be sold a barrel to gain 5 per cent. on the cost? 9. If I buy eggs at 10 cents a dozen, how must I sell them to gain 30 per cent.? 10. A speculator bought a quantity of pork for $500, and sold it at a loss of 7 per cent.; with the proceeds he bought another quantity, upon which he gained 20 per cent.; what was hisgain on the whole ? 11. Bought hay at $14 dollars a ton, which was 123 per cent. less than the market price; what was the market price? 83. 1. What is gained per cent. by selling clover seed for $6, that cost $4? ANALYSIS. The whole gain is equal to the difference between $6 and $4, which is $2. Since $4 gain $2, or of itself, equal to oo, the gain will be 50 per cent. fore, &c. There 2. What per cent. is gained by selling pork for $7 a hundred weight, that cost $6? 3. What will be gained by expending $500 for sugar, when it can be bought for 8 cents, and sold for 8 cents a pound? 4. If I buy $300 worth of sheep, and sell them for $375, what do I gain per cent. ? 5. Mr. C. bought a horse for $153, and sold him for $128; what per cent. did he lose? 6. A grocer bought eggs for 9 cents a dozen, and sold them for 12 cents; what per cent. did he gain ? 7. What per cent. is lost in buying corn at 50 cents a bushel, and selling it at 45 cents? 8. If a house bring of its value every 4 years in rent, what is the gain per cent. each year? 9. Bought a horse for 20 per cent. less than $150, and sold him for 10 per cent more than $150; what per cent. was gained ? 10. A peddler bought oranges for 18 cents a dozen, and sold them for 2 cents each; what per cent. did he gain ? 11. A farmer refused to sell his barley for 75 cents a bushel, and was afterwards obliged to take 60 cents a bushel for it; what per cent. did he lose? 12. Bought cotton cloth at 71⁄2 cents a yard, and sold it for 9 cents a yard; what was the gain per cent.? 13. Sold damaged cloth so as to lose of what it cost; what per cent. was lost? 84. 1. A tailor sold a coat for $24, by which he gained 20 per cent. on the first cost; what was its cost? ANALYSIS. Since he gained 20 per cent., or of the cost, $24 is of the cost; since $24 is, & of $24, or $4, is & of the cost, and $4 is & of 5 times $4, or $20. Therefore, &c. 2. A hatter sold a hat for $31, which was 12 per cent. above cost; what did it cost? 3. A jeweler sold a watch for $65, thereby gaining 30 per cent. on its cost; what was its cost? 4. A mechanic sold a carriage for $108, which was 10 per cent. less than it cost; how much would he have received for it had he sold it so as to gain 20 per cent.? 5. If 163 per cent. is gained by selling flour at $7 a barrel, what did it cost? 6. A merchant sold 2 barrels of sugar for $24 each; on one barrel he gained 20 per cent. and on the other he lost 20 per cent.; did he gain or lose by the bargain, and how much? 7. A grocer bought coffee so that he could sell it for 18 cents a pound, and make a profit of 33 per cent.; what did it cost him? 8. A man bought a horse and carriage; he sold them both at 8 per cent. above cost, receiving $81 for the horse, and $108 for the carriage; what was the cost of both ? 9. A fruit dealer sold pine-apples at 96 cents a dozen, thereby losing 4 per cent.; what did they cost apiece? 10. B sells a horse to C, and gains 121 per cent.; C sells him to D for $118, and thereby gains 18 per cent.; how much did the horse cost B? 85. 1. Sold wheat so as to gain 16 bushel, which was 12 per cent. of what did it cost? cents on a cost; what 2. A broker exchanged $150 at per cent.; how much brokerage did he receive ? 3. A man, having a farm of 200 acres, sold 75 acres of it; what per cent. of the whole remains unsold ? 4. What per cent. does William gain by selling apples at of the cost? 5. If I buy stoves at $12 each, and sell them at 8 per cent. profit, what will I gain on 1 stove? 6. If a broker buy $800 worth of bank stock for me, and charge + per cent. brokerage, how much will he receive ? 7. Sold butter so as to gain as much as it cost; what per cent. was gained ? 8. Mr. A. lends his money so as to receive a sum equal to of it for its use; what per cent. does he receive? 10 9. A brewer sends a person $520 with which to purchase barley, after deducting his commission of 4 per cent.; how much does he expend, and how much does his commission amount to? 10. The cost of building a town house, and paying collector's fees of 5 per cent., was $945; what was the cost of the house? 11. Hiram agrees to dig farmer F.'s potatoes for 8 per cent. of what should be put into the farmer's cellar; he digs 324 bushels; how many bushels should be put into the cellar, and how many bushels should Hiram receive? 12. Bought $200 worth of dry goods, and $300 worth of groceries; on the dry goods I lost 20 per cent., but on the groceries I gained 15 per cent.; did I gain or lose on my whole capital, and how much? |