NOTE. This proves the 1st example in the second case. 3. What is the gross weight of a lot of goods, weighing 925lb. net, having tret allowed, and the whole (4 28)1000(35 NOTE. This proves the first example in the fifth ease. Examples with prices. 1. Bought a hogshead of sugar weighing gross, 9C. 1qr. tare 12lb. per cent, for 10 cents per lb. and sold it so as to gain $46,25; how much did I pay for the whole, how much did I receive for the whole, and how did I sell it per cwt. and also per lb? Ans. Paid $92,50. 16,80 per cwt. 15 per lb. 1 2. What is the value of a hogshead of tobacco, weighing 5C. 3qrs. 16lb. gross; tare 100lb. at $16,80 Ans. $88,20. per cwt. 3. Admit a hogshead of tobacco be bought at 15 cents per lb. and sold at 20 cents per lb. and the gross weight was 6 cwt. tare 100lb. tret 4 lb. per 104 lb. how much did it cost, how much did it sell for, and what was the gain? Ans. $82,50 Cost, Gain, 27,50 4. Bought a chest of hyson tea, at 85 cents per lb. weighing gross 75lb. tare 20lb. how much did it cost me, and how must I sell it per lb. to gain $8,25, by the bargain? Ans. { Must be sold at 1, per lb. 5. What is the value of 5 chests of hyson tea, weighing as follows, viz. 70lb. at 63 cents per lb; and how must it be sold per lb. to gain $83,52? SValue at 63 cents per lb. $164,43. Ans. Must be sold at 95 cents per lb. 6. A hogshead of tobacco weighing 6cwt. gross, tare 100lb. tret 4lb. per 104lb. was bought at 15 cents per lb. and sold so as to gain $27,50; what did the whole cost, and what was it sold at per lb? Ans. {Cost $82,50. Sold at 20 cents, per lb. 7. Bought a chest of hyson tea, which I sold again, and gained $8,25, the price bought at, bore such proportion to that sold at, as 170 bears to 200; what did it cost, and what was it sold at per lb. the chest weighing gross 75lb. tare 20lb? Ans. { It cost 85 cents, per lb. COMMISSION. Commission is an allowance to agents, who transact business for others, in buying, selling, &c. and is a certain rate per cent, on the value of the goods bought or sold, &c. The same rule applies here as in finding the interest for one year, having the principal and rate per cent. given. EXAMPLES. 1. My factor writes me that he has bought goods for me to the value of £500 13 6; I demand what his commission comes to, at 34 per cent ? (2 84 2. My correspondent in London has disbursed for me the sum of £1009 18; what is his commission at 24 per cent in sterling money? Ans. 22 14 5 8. 3. My factor writes me that he has disposed of goods for me, to the amount of $9000; how much is his commission at 5 per cent? Ans. $450. 4. What is the commission on $797,25, at 34 per cent? Ans. $29,89,6,875. NOTE. Questions in this rule may be proved by varying their order. See the first example varied. 12 5. If my factor received ance of 3 per cent; what was the sum he disbursed? 17 10 588, by an allow 3360100)168226800 (500 136 Ans. 2268 20 Ensurance is an exemption from hazard, obtained by the payment of a certain sum, which is generally so much per cent. on the amount of the property ensured. The amount ensured is called the principal. The money paid for ensuring is called the premium. NOTE. The premium is found when the amount ensured, and rate are given; in the same manner as commission is found. EXAMPLES. 1. What must I pay for ensuring a ship and cargo, valued at $56000 at 24 per cent ? 2)56000 2. What must be paid for ensuring $9358, at 1 per cent ? Ans. $140,37. When it is required to ensure a sum sufficient to cover both principal and premium, the principal and rate given. Subtract the rate from 100, then say, as the remaining sum is to 100, so is the given principal to the sum required. 3. My ship and cargo is valued at $64000; what sum must I ensure to cover both principal and premium, when I pay 2 per cent, for ensurance? Remains first sum nearly, 63999,99,9,3,75 NOTE. This proof falls short of the first sum given by 1856 of a mill, owing to the remaining fraction in the op 1000 |