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As : 100: 40: 800-present worth if entered on immediately.
Then, 1,05 1,1025) 800,00(725,62358=725l. 12s, 5d.-present worth of £800 in two years reversion. Ans, OR BY TABLE III.
Find the present worth of the annuity, or rent, for the time of reversion, which subtract from the value of the immediate possession, and you will have the value of the estate in reversion.
Thus in the foregoing example,
1,859410-present worth of Il. for 2 years."
74,376400-present worth of the annuity or rent, for
[the time of reversion.
From 800,0000 value of immediate possession.
£725,6236=£725 12s. 54d. Ans.
2. Suppose an estate of 90 dollars per annum, to commence 10 years hence, were to be sold, allowing the purs chaser 6 per cent.; what is it worth?
Ans. $837, 39cts. 2m. 3. Which is the most advantageous, a term of 15 years, in an estate of 100l. per annum; or the reversion of such an estate forever after the said 15 years, computing at the* rate of 5 per cent. per annum, compound interest?
Ans. The first term of 15 years is better than the reversion forever afterwards, by £75 18s. 74d.
A COLLECTION OF QUESTIONS TO EXERCISE THE FOREGOING RULES.
1. I demand the sum of 1748} added to itself?
Ans. 3497. 2. What is the difference between 41 eagles, and 4099 dimes? Ans. 10cts. 5. What number is that which being multiplied by 21, the product will be 1365 ?
4. What number is that which being divided by 19, the quotient will be 72 ?
Ans. 1368. 5. What number is that which being multiplied by 15, the product will be ?
6. There are 7 chests of drawers, in each of which there are 18 drawers, and in each of these there are six divisions, in each of which is 16l. 6s. 8d.; how much money is there in the whole ? Ans. £12548. 7. Bought 36 pipes of wine for 4536 dollars; how must I sell it a pipe to save one for my own use, and sell the rest for what the whole cost? Ans. $129, 60cts.
8. Just 16 yards of German serge,
For 90 dimes had I;
How many yards of that same cloth
Will 14 eagles buy? Ans. 248yds. Sqrs. 23na. 9. A certain quantity of pasture will last 965 sheep 7 weeks, how many must be turned out that it will last the remainder 9 weeks?
per lb. for
10. A grocer bought an equal quantity of sugar, tea, and coffee, for 740 dollars; he gave 10 cents the sugar, 60 cts. per lb. for the tea, and 20 cts. the coffee; required the quantity of each ?
per lb. for
Ans. 822lb. Soz. 83dr. 11. Bought cloth at $14 a yard, and lost 25 per cent. how was it sold a yard? Ans. 933cts.
12. The third part of an army was killed, the fourth part taken prisoners, and 1000 fled; how many were in this army, how many killed, and how many captives? Ans. 2400 in the army, 800 killed, and
600 taken prisoners.
15. Thomas sold 150 pine apples at 533 cents a piece, and received as much money as Harry received for a certain number of water-mellons, which he sold at 25 cents a piece; how much money did each receive, and how many mellons had Harry?
Ans. Each received $50, and Harry sold 200 mellons. 14. Said John to Dick, my purse and money are worth 91. 28. but the money is twenty-five times as much as the purse; I demand how much money was in it?
Ans. £8 15s.
15. A young man received 210l. which was elder brother's portion; now, three times the elder brother's portion was half the father's estate; what was the value of the estate? Ans. £1890.
16. A hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds; she scuds away at the rate of ten miles an hour, and the dog, on view, makes after her at the rate of 18 miles an hour: How long will the course hold, and what space will be ran over, from the spot where the dog started?
Ans. 60sec. and 530yds. space. 17. what number multiplied by 57 will produce just what 134 multiplied by 71 will do? Ans. 16654
18. There are two numbers, whose product is 1610, the greater is given 46; I demand the sum of their squares, and the cube of their difference?
Ans. the sum of their squares is 3341.
The cube of
19. Suppose there is a mast erected, so that of its length stands in the ground, 12 feet of it in the water, and of its length in the air, or above water; I demand the whole length? Ans. 216 feet.
20. What difference is there between the interest of 500l. at 5 per cent. for 12 years, and the discount of the same sum, at the same rate, and for the same time? Ans. £112 10s.
21. A stationer sold quills at 11s. per thousand, by which he cleared of the money, but growing scarce raised them to 13s. 6d. per thousand; what might he clear per cent, by the latter price?
Ans. £96 7s. S&d. 22. Three persons purchase a West-India sloop, towards the payment of which A advanced, B, and C 1401. How much paid A and B, and what part of the vessel had C?
Ans. A paid £2671, B £5051, and C's part of the vessel was }}• 23. What is the purchase of 12001. bank stock, at 1039 per cent. ? Ans. £1243 10s. 24. Bought 27 pieces of Nankeens, each 11 yards, at
14s. 41d. a piece, which were so d at 18d. a yard; required the prime cost, what it sold for, and the gain.
Pris e cost,
£. s. d. 19 8 11 Ans. Sold or, 23 5 9 Gair
$ 17 71
25. Three partners, A, B and C, join their stock, and buy goods to the amount of £1025,5; of which A put in a certain sum; B put in....I know not how much, and C the rest; they gained at the rate of 241. per cent.: A's part of the gain is, B's, and C's the rest. Required each man's particular stock.
(A's stock was 512,75
Ans. B's in 205,1
26. What is that number which being divided by 1, the
quotient will be 21 ?
27. If to my age there added be,
One-half, one-third, and three times three,
28. A gentleman divided his fortune among his three sons, giving A 91. as often as B 5l. and to C but Sl. as often as B 71. and yet C's dividend was 2584l.; what did the whole estate ainount to?
Ans. 19466 2s. 8d.
29. A gentleman left his son a fortune, of which he spent in three months; of the remainder lasted him 10 months longer, when he had only 2524 dollars left; pray what did his father bequeath him?
Ans. $5889, 33cts.+ So. In an orchard of fruit trees, of them bear apples, # pears, plums, 40 of them peaches, and 10 cherries; how many trees does the orchard contain ? Ans. 600.
31. There is a certain number, which being divided by 7, the quotient resulting multiplied by 3, that product divided by 5, from the quotient 20 being subtracted, and 30 added to the remainder, the half sum shall make 65; can you tell me the number? Ans. 1400,
32 What part of 25 is of an unit ?
33. If A can do a piece of work alone in 10 days, B in 20 days, C in 40 days, and D in 80 days; set all four about it together, in what time will they finish it?
Ans. 5 days.
34. A farmer being asked how many sheep he had, answered, that he had them in five fields, in the first he had of his flock, in the second, in the third, in the fourth , and in the fifth 450; how many had he?
Ans. 1200. 35. A and B together can build a boat in 18 days, and with the assistance of C they can do it in 11 days; in what time would C do it alone? Ans. 28 days.
36. There are three numbers, 25, 25, and 42; what is the difference between the sum of the squares of the first and last, and the cube of the middlemost?
Ans. 13332. 37. Part 1200 acres of land among A, B, and C, so that B may have 100 more than A, and C 64 more than Ans. A 312, B 412, C 476.
38. If 3 dozen pair of gloves be equal in value to 2 pieces of holland, 3 pieces of Holland to 7 yards of satin, 6 yards of satin to 2 pieces of Flanders lace, and 3 pieces of Flanders lace to 81 shillings; how many dozen pair of gloves may be bought for 28s.?
Ans. 2 dozen pair.
59. A lets B have a hogshead of sugar of 18 cwt. worth 5 dollars, for 7 dollars the cwt. of which he is to pay in cash. B hath paper worth 2 dollars per ream, which he gives A for the rest of his sugar, at 2 dollars per ream; which gained most by the bargain?
Ans. A by $19, 20cts. 40. A father left his two sons (the one 11 and the other 16 years old) 10000 dollars, to be divided so that each share, being put to interest at 5 per cent. might amount to equal sums when they would be respectively 21 years age. Required the shares ?
41. Bought a certain quantity of broadcloth for 3831.