66. In distress at sea they threw out 17 hhds. of sugar, worth 341. hhd, the worth of which came up to but the 4 of the indigo they threw overboard; besides which they threw out 13 iron guns worth 181. 10s. a piece, the value of all these amounted to of of that of the ship and lading: what value came into port?

Answ. 43371. 15s. 63d.

67. A gay young fellow, had 182001. left him by an old uncle, to whose memory he expended 3 cent. of his whole fortune, in a sumptuous funeral and monument; 9

cent of the remainder he made a present of to his cousins, forgotten by the old man; with of the remainder he bought a fine seat, and with of the residue a stud of horses; he squandered 5501. in gaming; and after having lived at the rate of 20001. a year for 19 months, and ruined his health, he died. What was there left for his sister who was heir at law? Answ. 63241. Os. 11d.

68. Three persons purchase a West India sloop, toward the payment whereof A advanced 3, B, and C 1401. how much paid A and B, and what part of the vessel had C?

Answ. A paid 2671. B 30551. and C's part. 69. A and B clear by an adventure to sea 50 guineas; their, stocks were as 13 to 10, and they gained 45 cent. I demand their respective stocks? Answ. A's 711. Ss. 8d. B's 541. 19s. Od.

70. A and B join stocks, and purchase brandies, A's stock was 191. 19s. 8d. more than that of B. Now by selling out their commodity at 55s. anker, A cleared 74). 11s. and B 521. 10s. The quantity of brandy dealt for is required, and the gain upon the anker?

Answ. 88 ankers, and 11. 8s. 101d. ' anker gained. 71. In an article of trade, A gains 14s. 6d. and his adventure was 35s. more than P's, whose share of the profit is but 8s. 6d. what are their respective stocks?

Answ. A's 41. 4s. 7d B's 21. 9s. 7d.

72. Suppose I would exchange 5271. 17s. 6d. for dollars at 4s. 6d. piece, ducats at 5s. 8d. ' piece, and crowns at 6s. 1d. ; and would have 2 dollars for 1 ducat, and 3 dollars for 2 crowns: how many of each sort must I have? Answ. 927 dol. 4634 duc. 618 cro.

73. A lets B have a hhd. of sugar of 18Cwt. worth 31s. for 42s. the Cwt of which he is to pay in cash; B hath paper cost 14s. Pream, which he gives A for the rest of his sugar, at 15s. 6d. Which gained most by the bargain? Answ. A by 71. 9s. 3d.

74. A

74. A and B in partnership equally divide the gain: A's money, which was 841. 12s. 6d. lay for 19 months, and B's for no more than 7: the adventure of the latter is sought? Answ. 2291. 13s. 114d.

75. In 117 times 406 pieces, worth 3s. 84d. a piece, how many reas at 20 for 3d.? Answ. 14145040.

76. Lent 100 guineas, at 4 P cent. which by the 18th November 1756, was raised to as many moydores, bating half a crown. Pray what day did the bond bear date?

Answ. October 7, 1749, or rather allowing for the alteration of style, September 26, 1749.

77. A for a nine month's adventure received 201. B for one of 7 months received 23 guineas and Is. 9d over; and C for lying out of his contribution 5 months, had a title to 321. the total of their adventures, multiplied into their respective times is 640: what were their particular Answ. A's 181. 3s. 6d. B's 301. 13s. 6d. and

stocks?

C's 521. 6s, 10 d.

78. A had 15 pipes of Malaga wine, which he parted with to B at 4 cent. profit, who sold them to C for 381. 11s. 6d advantage; C made them over to D for 5001. 16s. 8d. and cleared thereby 6 cent. what did this wine cost A gallon? Answ. 4s. 44d.

79. I have imported 80 jars of Lucca oil, each containing 1190 solid inches? what came the freight to at 4s. 6d. Cwt. tare in 10; counting 71b. of oil to the wine gallon of 231 cubic inches? Answ. 61. 15s. 5d.

80. A, B and C company, and put in together 38601. A's money was in 3 months, B's money was in 5 months, and C's was in 7 months; they gained 2341. which was so divided that of A's gain was equal to of B's, and of B's to of C's: what did each gain and put in?

(A gained 521.

Ansre.

A put in 14001.

81. There are 7 chests of drawers, in each of which there are 18 drawers, and in each of these are 6 divisions; in each of which is 161. 6s. 8d. how much money is there in the whole? Answ. 123481.

82. If 3 dozen pair of gloves be equal in value to 2 pieces of ribbon : 3 pieces of ribbon to 7 dozen of points; 6 dozen of points to 2 yards of Flanders lace; and 3 yards of Flanders lace to 81 shillings; how many dozen of gloves may be bought for 28 shillings? Answ. 2 dozen.

83. A with intention to clear 30 guineas, on a bargain with B, rates hops at 16d. the pound, that stood him in 10d. B apprized of that, set down malt which cost him 10s. 10d. 4 barrel at an adequate price: how much malt did they contract for? Answ. 420 bushels.

84. A and B, venturing equal sums of money, clear by joint trade 1541. By agreement A was to have 8 cent. because he spent time in the execution of the project, and B was only to have 5: the question is, what was allotted A for his trouble? Answv. 35 l. 10s. 94d.

85. A, in order to put off to B 720 ells of damaged Holland, worth 5s, an ell, at ös. Sd. proposes, in case he has half the value in money, to give B a discount of 10

cent. The rest A is to take out in saffron, which B apprized of the whole management, rates in justice 30s. Pray what was it really worth in ready money; and what quantity of saffron was he to deliver on the change? Answ. 72. worth 20s. P.

86 Laid out in a lot of muslin 4801. 11s. upon examination of which, 2 parts in 7 proved damaged; so that I could make but 5s. 6d. a yard of the same, and by so doing I lost 491. 6s. by it. At what rate Pell am I to part with the damaged muslin to make up the said loss? Answ. 12s. 33d.

87. A young hare starts 5 roods before a greyhound, and is not perceived by him, till she has been up 34 seconds; she scuds away at the rate of 12 miles an hour, and the dog in view makes after her at the rate of 20: How long will the course hold, and what ground will he rün, beginning with the outsetting of the dog?

Answ. 58 seconds, 17024 feet run.

88. A leaves Exeter at 10 o'clock in the morning for London, and goes at the rate of 2 miles an hour without intermission. B sets out of London for Exeter, at 6 the same evening, and rides 3 miles an hour constantly: the question is, whereabouts on the road will they meet if the distance of the two cities be 130 miles?

Answ. 613 miles from Exeter..

89. A reservoir of water hath 2 cocks to supply it: by the first it may be filled in 44 ininutes; by the second in just an hour; and it hath a discharging cock, by which it may, when full, be emptied in half an hour: now suppose these three cocks, by accident, should all of

them

them be left open, and the water should chance to come in: what time would this cistern be in filling?

Answ. 23 hours.

90. A set out from London for Lincoln, at the very same time that B set out from Lincoln to London, distant 100 miles: at 8 hours end they meet on the road, and it then appeared that A had ridden 24 miles an hour more than B. At what rate an hour did each of them travel? Answ. A 7 miles, B 5.

91. Bought 7 tons of wine at 171. hogshead, which I sell again at Is. pint, what is the whole gain and how much cent. ? Answ. the whole gain 2291. 125. and 481. 4s. 8 ceat.

92. There are 100 stones which lie 1 yard one from the other, and there is one employed to gather up the stones 1 by 1, and bring them to a basket which is standing a yard from the first stone: the question is, how many miles he will go, before the last stone is brought into the Answ. 4 miles, 4 furl. 2 perch. 6 yds. Irish.

basket?

measure.

93. A minor of 12 years of age was left an estate of 1501. annum his guardian was allowed by his father's will 401. annum for his board, education, and other eontingent charges, and was to put out the surplus to interest for his benefit, at 5 cent. simple interest: Now supposing no loss of principal or interest, what sum had his guardian to pay him when he was of age.

Answ. 11881.

94. A person said he had 20 children, and that it happened there was a year and a half between each of their ages, his eldest was born when he was 24 years old, and the age of the youngest is now 21: what was the father's age? Answ. 73 years.

95. One at a country fair had a mind to a string of 20 fine horses, but not caring to take them at 20 guineas the head, the jockey consented that he should, if he thought good, pay but a single farthing for the first, doubling it only to the 19th, and he would give the 20th into the bargain: this being accepted, what what were they sold for a piece? Answ. 271. 6s. 147d. each.

96. What ought a man to give down in ready money for the reversion of 10001. a year, to continue 20 years, on a lease, which cannot commence till 5 years are at an

end,

end, allowing the purchaser compound interest at 6 cent.? Answ. 85701. 19s. 10d.

97. A minor of 14 had an annuity left him of 701. a year, the proceeds of which, by will, was to be put out both principal and interest yearly, as it fell due at 5

cent. until he should arrive at 21 years of age. The utmost improvement being thus made upon this part of his fortune: what had he then to receive?

Answs 5691. 18s. 94d.

98. Value the lease of a house in tolerable repair, the rent 541. 17s. a year, the ground-rent 7 guineas; 3 years of it only to come; the rent payable every 6 months, discount p compound interest on this kind of purchase, at 10 cent.? Answ. 1201. 10s. 114d. the guineas 1 being taken as English currency; but at 11. 2s. 9d. ✈ the Answ. is 1181. 19s. 10d.

99. A lease for 7 years is agreed for, at 2501. fine on the old rent 441. a year; but the purchaser being desirous to reduce the rent to 201. a year and pay a proper fine, computing as before, after the rate of 101. a year: to what must the fine be advanced?

Answ. 3361. 16s. 10d.

100. Suppose I would add 5 years to a running lease of 15 years yet to come, the improved rent being 1861. 7s. 6d. annum: what ought to pay down for the favour. Discount being allowed at 4 cent. annum compound interest? Answ. 4601. 14s. 1d.

101. A person dying left a piece of land, let on a 20 year's lease for 311. 10s. tax free; the profits of this he bequeathed to the poor of the parish where he was born, for the first 4 years after his decease; the proceeds of the next 6 years he left to the poor of the parish where he lived; and the residue or last 10 years he gave to his niece; now this. young woman having money, and being willing to come into the immediate possession of her uncle's land, comes to a compromise with the parishes, on a discount of 10 cent. What did it cost her?

Answ. 1931. 11s.

AN