Solution by the Tables. Take the half of the gross of Poland according to the order, and the exhange will be 135 and 1304 2869 this must be sought for in the table for London; and the schillings and groots of gross, which correspond with this number will be found to be 36 schillings 24 groots. By the Rule of Three. In this question it is obvious that as the gross of Poland given for a livre de gross decrease, the schillings given for a pound sterling must proportionably increase, to follow the condition of the last order; hence the question is an inverted one in the Rule of Three, and thus stated: 270 x 35 261 Gross of Poland Schillings -35 Gross of Poland 261, wherefore gives 36 schillings, and the remainder multiplied by 12 for groots, and the next by 2, for half groots, at each time dividing by 261, brings out 24 groots nearly. Fifth Example. There is an order to A. of Amsterdam to draw on Paris at 534 groots per crown, and remit on London at 34 schillings 1 groot per pound sterling, or at other prices which might be as profitable to him who gave the order. If they can draw at 56 and remit at 34 schillings 74 groots; it is demanded whether he can comply with this com mission, and how much this differs per cent. Answer; our correspondent receives more than he first ordered about 3 per cent. which A. might remit per pound sterling to London, when he drew on Paris at 56+ groots per French crown; but he only remitted at 34s. 7 gts. therefore in remitting this last sum he gained 1 schil. grt. the difference between 35 schil. 8 gts. and 34 schil. 7 gts. and to find what that comes to per cent. say, Sch. Grts. Grts. Grts. 100 will bring out the answer. Sixth Example. There is an order to draw on Frankfort 100 rix-dollars current money of Amsterdam for 128 rix-dollars of Frankfort, and to remit on London at 35 schillings bank money per pound sterling, on condition that the agio shall be 5 per cent. If after this our correspondent writes to us, to omit executing his order, if not already done, unless he receive 2 per cent. more from London than he had ordered. If they can only draw on Frankfort at 135 rix-dollars that money for 100 rix-dollars of Amsterdam, it is demanded, at how many schillings the remits must be made to follow the last order? Answer, 34 schillings 4 groots. 2640 This number seek in the table for London, and you will find 34 schillings 4 groots correspond thereto. For a different solution, it is easy to conceive that when the agio is high the less Frankfort money is given for current money of Amsterdam, the exchange being by banco money, consequently the less banco money must be remitted to London per pound sterling; whence it is clear, that the way to get 2 per cent. from London by remitting at the same rate as before, you must consider the agio as so much less; therefore instead of 95, we have 97 rix-dollars banco money of Amsterdam for 1284 rix-dollars of Frankfort, at which rate I find the bank mony of Amsterdam equal to 135 rix-dollars of Frankfort; thus, 73 101-7. But by the question there are only 100; therefore the remittance on London must be made accordingly less, by saying, Seventh Example. T. of Berlin remits for his proper account to U. of Amsterdam, a certain sum of bank money, at 133 rix-dollars for 100 rix-dollars bank money of Amsterdam, ordering him to remit the nett produce to A. of Genoa; U. effects it at 96 groots per dollar of 5 Genoese livres. A. on his part remits this to B. who lives at Turin, at 128 sols of Piedmont for one crown of Genoese money of 7 livres, who takes bills on Geneva at 84 Piedmont sols for one crown current of Geneva, and remits them to C. who in his turn remits the amount on Frankfort to D. at 130 rix-dollars of Frankfort for 100 crowns current of Geneva, who finally takes bills at 132 batz money of Frankfort for one pound sterling, 1 rix-dollar at Frankfort makes 224 batz, the which he remits to T. himself. If the five commissioners, namely, U. A. B. C. and D. deduct each per cent. for their provision; it is demanded at what rate the exchange must be between Berlin and London so that T. gains 3 per cent.? Answer, 6 rix-dollars per pound sterling. 4286 This sought in table I. there will be found 60, wherefore take and it will be your answer, 6 rix-dollars. Otherwise. The general method for such extensive questions is as follows: The investigation whereof I shall clearly shew before I conclude this subject. 1 Pound Sterling at London = 132 Batz Money of Frankfort. 22+ Batz Money of Frankfort = 1 Rix-dol. Money of Frankfort. 100 Rix-dol. Money of Frankfort = 99 Rix-dol. Mon. the provision deducted. 138 Rix-dol. Money of Frankfort 100 Crowns current of Geneva 1 Crown current of Geneva 28 Sols at Genoa 100 Livres at Genoa 5 Livres at Genoa = 10 Crowns current of Geneva. 993 Crowns current at Geneva, the provision deducted. 21 $4 Sols of Piedmont of Turin. =99 Sols of Piedmont, the provision deducted. = 1 Crown of Genoa. = 152 Sols of Genoa. = 1 Livre at Genoa. = 99 Livres at Genoa, the provision deducted. 100 Groots Banco of Amsterdam 100 Crowns Banco of Amsterdam = how much 99 Crowns Banco of Amsterdam, the provision 133 Rix-dol. of Brandenburgh at Berlin. |