EXAMPLES. per cwt.j 1. In 247 cwt. 2 qrs. 15 lbs. gross, tare 28 lbs. and tret 4 lbs. for every 104 lbs. how much neat? 2. In 9 cwt. 1 qr. 10 lbs. gross, tare 28 lbs. per cwt. and tret 4 lbs. for every 104 lbs. how much neat? Ans. 6 cwt. 2 qrs. 26. lbs. 3. A merchant purchased 4 hhds, of tobacco, weighing as follows:-The first 5 cwt. 1 qr. 12 lbs. gross, tare 65 lbs. per hhd.; the 2d, 3 cwt. 0 qr. 19 lbs. gross, tare 75 lbs.; the 3d. 6 cwt. 3 qrs. gross, tare 49 lbs.; the 4th 4 cwt. 2 qrs. 9 lbs. gross, tarc 35 lbs. and allowing tret to each at the rate of 4 lbs. for every 104 lbs. What was the neat weight of the whole? Ans. 17 cwt. Oqr. 19 lbs. 2 oz. Exercises under the foregoing rules. 1. There are 24 hogsheads of tobacco; each hogshead weighs 6 cwt. 2 qrs 17 lbs. gross;- tare in all, 17 cwt. 3 qrs. 27 lbs. How much will the tobacco amount to at £1. 10s. 6d. per cwt. Ans. £216. 0s. 41d. 2. Bought 5 bags of coffee, each of which weighed 95 lbs. gross; tare in the whole 10lbs. How much did it amount to, at 25 cents per pound? Ans. $116.25. 3. What is the value of 10 casks of alum; the whole weighing 33 cwt. 2 qrs. 15 lbs. gross; tare 15 lbs. per cask; price, 23s. 4d. per cwt.? Ans. £37. 13s. 6d. 4. A farmer sent a load of hay to market, which with the cart, weighed 29 cwt. 3 qrs. 16 lbs.; the weight of the cart was 103 cwt.; what did the hay come to, at $15 a ton? Ans. $14.357+. 5. A merchant bought sugar in a hogshead, both of which weighed 8 cwt. 15 lbs.; the hogshead alone weighed 1 cwt. 1 qr.; what was the cost of the sugar, at 111 cents a pound? Ans. $86.733. Q. 1. What do you understand by Tare and Tret? 2. What is tare? 3. What is tret? 4. What is gross weight? 5. What is neat weight? 6. What is called suttle? SIMPLE INTEREST. In Interest is a premium paid for the use of money calculating interest on money, four things are necessary to be considered, viz. the principal, the time, rate per cent, and amount. The principal is the money lent for which interest is to be received. The rate per cent, per annum (by the year) is the interest for 100 dollars or 100 pounds for one year. The time is the number of years, months, or days, for which interest is to be calculated. The amount is the sum of the principal and interest, when added together. Questions to prepare the learner for this rule. 1. If you give $6 for the use of $100 for a year; how much must you give for the use of $50? 2. If you give $6 for the use of $100 for a year; how much must you give for the use of it for six months?How much for three months?-How much for 4 months? How much for 8 months?-How much for 9 months? 3. If the interest of $200 be one dollar for a month; how much will it be for 15 days?-How much for 10 days?-How much for 20 days? CASE I. When the time is one year, and the rate per cent. is any number of dollars, pounds, &c. RULE. Multiply the principal by the rate per cent. divide the product by 100, and the quotient will be the interest for one year. EXAMPLES. 1. What is the interest of 328 dollars for one year at per cent.? 328 Ans. $19.168 cts. In this example, as cutting off the two right hand figures is the same as dividing by 100, the division is omitted. 2. What is the interest of $9876 for one year at 6 per cent.? 6 $592156 cts. Answer. When the sum is in pounds, if there be a remainder after dividing, or after cutting off the two right hand figures, the remainder, or figures cut off must be reduced to shillings; and if there be still a remainder after dividing the shillings, it must be reduced to pence, &c. 3. What is the interest of £573. 13s. 91d. at 6-per cent. per annum? £573. 13s. 94d. £34/42 2 9 8142 12 5/13 To Note. When the interest is for more than one year, multiply the interest for one year by the number of years. obtain the amount, the interest|| must be added to the principal. Ans. £34. 8s. 5d. 4. What is the interest of £40. 19s. 11d. 3 qrs. for one year, at 6 per cent. per annum? Ans. £2. 9s. 2d. 1gr. 5. What is the interest of 87 dollars for one year, at 6 per ċent. per annum? 7 Ans. $5.22. 6. What is the interest of 143 dollars for one year, at per cent. per annum? Ans. $10.01. When the rate per cent. consists of a whole number and a fraction, as 61, 61, or 63, multiply the principal by the whole number, to the product add, or, as the case may be, of the principal and then divide by 100, or cut off the two right hand figures as before. 7. What is the interest of 228 dollars for one year, at 61 per cent per annum? $228 61 1368 57 $14/25 cts Answer. When the principal consists of dollars and sents, multiply by the rate per cent. without any reference to the separating point; then from the product cut off the first right hand figure as a fraction or remainder, the next figure will be mills, the two next cents, and the other figures, that is, those on the left of the cents, will be dollars. 8. What is the interest of $98.79 for one year, at 6 per cent. per annum? 6 5/92/7/4 fraction Ans. $5,92c. 7m. 9. What is the interest of 432 dollars 73 cents for 4 years, at 6 per cent. per annum? $432.73 6 rate per cent, 259638 4 number of years. 103185|5|2 frac. Ans. $103.85c. 5m. 10. What is the interest of $8420.82 for three years, at 8 per cent. per annum? Ans. $2020 99c 6m. 11. What is the interest and amount of $7462.131 for four years, at 7 per cent per annum? Ans. Interest, $2089.39c. 7m. Am't. $9551.53c. 2m. CASE II. To find the interest when the given time is months or days. RULE. Find the interest for one year, then say-as one year is to the given time, so is the interest of the sum for one year, to the interest for the time required. Or, instead of the Rule of Three, it may be done by Practice, thus: For the number of months, take aliquot parts of a year; and for days, the aliquot parts of 30.* EXAMPLES. 1. What is the interest of $98.50 for 9 months and 18 [days, at 6 per cent. per annum? $98.50 $5.9100 for one year. year. mo. days. $cts. $cts. m. Then, as 1 : 9 18 : 5 91 4 72 8 Ans. In this sum, the year is reduced to 360 days, the 9 months and 18 days to 288 days, and the third term stands as 591 cents. The same is done by Practice, thus *In these calculations, a year is reckoned at 360 days, and a month at 30 days. |