i If broker sells $600 worth of New York Cenailroad stock, and charges % commission for how much will he receive? A real estate agent sold a house and lot for $2000, arged 11% commission for selling. How much receive? A broker in Chicago exchanged $1200 on a New ank, at %. What amount of brokerage did he ? At 4%, what will be the expense of negotiating a -xchange of $ 625 ? A merchant sends his agent $780 to expend for ON. — The money to be expended is 100 of itself, and the miller sent Mr. B. $1550, with which to buy ow many bushels of wheat, at $1 a bushel, can buy for $1230, and retain 21% commission for le? farmer employed a man to thrash his wheat, so give him 12% of all he thrashed. How many must he thrash in order that the farmer may bushels ? N. Since the thrasher is to receive, or, of all he e farmer will receive the difference between 25 and 3 which is . Then 66 bushels must be 2 of the whole number of bushels to be thrashed; since 66 bushels is, of 66, or 3 bushels, and 25 × 3 bushels, or 75 bushels. = = 34. What amount must be collected on a bill, so that the collector may retain his fee of 5% and pay over $285? 35. What amount of accounts must an individual collect in order to pay over $1100, and retain 81% for collecting? 36. What must be paid for insuring a house and furniture for $1000, at 11% premium? NOTE. The sum paid for insurance is called a Premium. SOLUTION. Since the premium is 1 per cent, or, or, of the amount insured, the premium on $1000 will be of $1000, or $121. 37. What will be the premium for insuring a quantity of flour, valued at $1200, at 4%? 38. What must I pay annually for life insurance of $900, at 21% ? 39. What must be paid for insuring a case of cloths, valued at $600, at 13% premium? 40. What is the annual premium of insurance, at %, on a building valued at $4000 ? 41. If a merchant has his stock of goods insured for $2500, at %, what is the premium? 42. A man, owning of a boat load of grain valued at $1600, insures his interest at 13%. What premium does he pay? 43. At 2%, what amount of insurance can I obtain for $18 premium? SOLUTION. Since 2% premium is, or, of the amount insured, $18, the given premium, will be equal to of the required amount of insurance. $18 is of 50 × $ 18, or $900. 44. At 3%, what amount of insurance can be obtained on a house, for $75 premium? 45. At 3%, what amount of insurance can be obtained on a boat load of flour, for $24 premium? 46. What amount of insurance can be had for $45, upon a car load of horses, if the rate of insurance is 41%? 47. If the rate is 13%, and the premium paid is $91, what will be the amount of insurance obtained on a store and its contents? 48. If a man buys a horse for $90, for how much must he sell it to gain 20%? SOLUTION. - Since he is to gain 20% or of what the horse cost him, he must sell it for g of what it cost; g of $90 = $108. 49. A sleigh was bought for $50, and sold for 8% more than it cost. For how much was it sold? 50. A rare vase, worth $84, increased in value 121%. What was it then worth? 51. A grocer bought some tea for $45, but finding it damaged, he was obliged to sell it at a loss of 10%. For how much did he sell it? 52. By embroidering a piece of linen that cost me $12, I increased its value 75%. How much was it then worth? 53. A drover bought 60 sheep for $ 180, and sold them at a loss of 20% on the cost. How much apiece did he receive for them? 54. A grocer bought 440 lemons for $12, and after throwing away 10% of them, lacking 4, as worthless, he sold the remainder so as to gain 331% on the cost of the whole. For how much apiece did he sell them? 55. I bought 6 young rabbits for $4.00. For how much apiece must I sell them in order to gain 5% on the cost? ROB. INTEL. AR. - - 11 56. If I buy eggs at 30 cents a dozen, for what price must I sell them to gain 30% ? 57. A speculator bought a quantity of pork for $500, and sold it at a loss of 7%. With the proceeds he bought another quantity, upon which he gained 20%. much did he gain on the whole? How 58. A farmer gathered in 14 bushels of oats, which was 12% less than his neighbor's crop. What was his neighbor's crop? 59. What % is gained by selling clover seed that cost $4 for $6? SOLUTION. The gain is $2. $2 is 4 of $4; = 50%. 60. What % is gained by selling pork that cost $6 for $7? 61. How much will be gained by investing $500 in sugar, which can be bought for 8 cents, and sold for 81 cents a pound? 62. If I buy $300 worth of sheep, and sell them for $375, what % do I gain? 63. Mr. C. bought a horse for $150, and sold it for $125. What % did he lose? 64. A grocer bought melons for 9 cents apiece, and sold them for 12 cents apiece. What % did he gain? 65. What % is lost in buying corn at 50 cents a bushel, and selling it at 45 cents? 66. If a house brings of its value every 4 years in rent, what is the gain % each year? 67. I spent 20% less than $150 on my market garden, and sold the produce from it for 10% more than $150. What % did I gain? 68. A fruit vender bought oranges for 18 cents a dozen, and sold them for 2 cents apiece. What % did he gain? 69. A farmer refused to sell his barley for 75 cents a -ushel, and was afterwards obliged to take 60 cents a ushel for it. What % did he lose? 70. For every 7 bushels of oats that a farmer raised ne year, he raised 9 bushels the next. What % of ncrease was the second year's crop over the first? 71. I was obliged to sell damaged goods at a loss equal o of their cost? What % was lost? 72. A hatter sold a hat for $31, which was 163% bove cost. What was the cost? 73. A tailor sold a coat for $ 24, by which he gained 0% on the cost. What was the cost? SOLUTION. Since he gained 20%, or of the cost, $24 is g of he cost; since $ 24 is §, of $24, or $ 4, is } of the cost, and 5 × 4 $20, the cost. 74. A merchant sold 2 barrels of sugar for $24 each; n one barrel he gained 20%, and on the other he lost 0%. Did he gain or lose by the transaction, and how uch? SOLUTION. The cost of the first barrel is found, as in Ex. 73, o be $20; $24-$20 $4, the gain. Since 20% or was lost by selling the second barrel at $24, of $24 × 5 = $30, the cost; $30 – $ 24 = $6, $6 - $4 $2, the total loss. of cost; = 75. A certain field yielded 65 bushels of potatoes, which was 30% increase on the previous year's crop. What was the previous year's crop? 76. A man sold a carriage for $108, which was 10% ess than it cost. How much would he have received for t had he sold it so as to gain 20% ? 77. There are 50 pupils in one class, which is 163% ess than the number in another class. How many pupils re there in the second class? |