are found to be worth no more than 1702 148; how must it be divided among his creditors? Ans. o must have 371 158 5d 2,5302 P ૧ R 70 15 2 14 8 4 47 14 11 27 39 10་35• 0.4720 TO:39 3358 10:19. 2.7498 Ex. 8. A ship worth 9001, being entirely lost, of which be longed to s, to T, and the rest to v; what loss will each sustain, supposing 5401 of her were insured? Aus. s will lose 451, T 901, and v 2251. 10. A detachment, consisting of 5 companies, being sent into a garrison, in which the duty required 76 men a day; what number of men must be furnished by each company, in proportion to their strength; the first consisting of 54 men, the 2d of 51 men, the Sd of 48 men, the 4th of 39, and the 5th of 36 men?. Ans. The 1st must furnish 18, the 2d 17, the 3d 16, the 4th 13, and the 5th 12 men.* DOUBLE FELLOWSHIP. DOUBLE FELLOWSHIP, as has been said, is concerned in cases in which the stocks of partners are employed or contin ued for different times. Questions of this nature frequently occurring in military service, General Haviland, an officer of great merit, contrived an ingenious in strument, for more expeditiously resolving them; which is distinguished by the name of the inventor, being called a Haviland. RULE RULE -Multiply each person's stock by the time of its Continuance; then divide the quantity, as in Single Fellowship, into shares, in proportion to these products, by saying, As the total sum of all the said products, Is to the whole gain or loss, or quantity to be parted, To the correspondent share of the gain or loss. EXAMPLES. 1. A had in company 501 for 4 months, and B had 60 for 5 months; at the end of which time they find 24 gained : how must it be divided between them? Then, as 500: 24:: 200: 923 and as 500 24: 300: 142 = 14 8 B's share. = 2. C and D hold a piece of ground in common, for which they are to pay 541. c put in 23 horses for 27 days, and p 21 horses for 39 days; how much ought each man to pay of the rent? Ans. c must pay 231 5× 9d. D must pay 30 14 S 4. Three persons, E, F, G, hold a pasture in common, for which they are to pay 39% per annum; into which E put 7 oxen for 3 months, F put 9 oxen for 5 months, and G put in 4 oxen for 12 months; how much must each person pay of the rent? Ans. E must pay 5/ 10s 6d 159. 11 16 10 0812 12 7 25. F 6 4. A ship's company take a prize of 1000l. which they agree to divide among them according to their pay and the time they have been on board: now the officers and midshipmen have been on board 6 months, and the sailors 3 months; The proof of this rule is as follows: When the times are equal the shares of the gain or loss are evidently as the stocks, as in Single Fe lowship; and when the stocks are equal, the shares as the times; therefore, when neither are equal the shares must be as their products The the officers have 40s a month, the midshipmen 30s, and the sailors 22s a month; moreover there are 4 officers, 12 midshipmen, and 110 sailors; what will each man's share be? Ans. each officer must have 231 28 5d 0-22 each midshipman each seaman 1739. 17 6 9 3.69 67 2 0743° 173 8 Ex. 5. H, with a capital of 1000, began trade the first of January, and, meeting with success in business, took in 1 as a partner, with a capital of 1500, on the first of March following Three months after that they admit K as a third partner, who brought into stock 28001. After trading together till the end of the year, they find there has been gained 1776/ 108; how must this be divided among the partners? Ans н must have 457 98 44d. 6. x, y, and z made a joint-stock for 12 months; x at first put in 20, and 4 months after 20 more; Y put in at first 304, at the end of 3 months he put in 20 more, and 2. months after he put in 40 more; z put in at first 604, and 5 months after he put in 10 more, 1 month after which he took out 30; during the 12 months they gained 50%; how much of it must each have? Ans, x must have 102 18s 6d 349. 22 8 1 012 16 13 4 0. Y 61 薯 SIMPLE INTEREST. INTEREST is the premium or sum allowed for the loan, or forbearance of money. The money lent, or forborn, is called the Principal. And the sum of the principal and its interest, added together, is called the Amount. Interest is allowed a so much per cent. per annum; which premium per cent. per annum, or interest of 100 for a year, is called the rate of interest :-So, When When interest is at 3 per cent, the rate is 3; But, by law in England, interest ought not to be taken higher than at the rate of 5 per cent. Interest is of two sorts; Simple and Compound. Simple Interest is that which is allowed for the principal lent or forborn only, for the whole time of forbearance. As the interest of any sum, for any time, is directly proportional to the principal sum, and also to the time of continuance; hence arises the following general rule of calculation. As 100/ is to the rate of interest, so is any given principal to its interest for one year. And again, As 1 year is to any given time, so is the interest for a year, just found, to the interest of the given sum for that time. OTHERWISE. Take the interest of 1 pound for a year, which multiply by the given principal, and this product again by the time of loan or forbearance, in years and parts, for the interest of the proposed sum for that time. Note, When there are certain parts of years in the time, as quarters or months, or days: they may be worked for, either by taking the aliquot or like parts of the interest of a year, or by the Rule of Three, in the usual way. Also to divide by 100, is done by only pointing off two figures for decimals. EXAMPLES. 1. To find the interest of 230/ 108, for 1 year, at the rate of 4 per cent. per annum. Here, As 100: 4 :: 2301 10s: 91 48 43d. Ex. 2. To find the interest of 5471 158, for 3 years, at 5 per cent. per annum. As 100: 5 :: 547-75: Or 201: 547-75: 27 3875 interest for 1 year. 3 82 1625 ditto for 3 years. 20 $ 3 2500 12 d 300 Ans. 821 33 3d. 3. To find the interest of 200 guineas, for 4 years 7 months and 25 days, at 43 per cent. per annum. 2101 840 105 ds ds 9.45 interest for 1 yr. 73) 47 25 (6472 345 530 4. To find the interest of 4501, for a year at 5 per cent. Ans 2211 08. per annum. 5. To find the interest of 7157 128 6d, for a year, at 4 per Ans. 32/ 4 0 d. cent. per annum 6. To find the interest of 7201, for3 years, at 5 per cent. per Ans. 108/. annum. Ex. |