EXAMPLES. 1. How many marks must be received at Hamburg for 300l. sterling, exchange at 35s. 3d. Flemish per 1l. sterling?

L. s. d. L.
If 1 : 35 3 : : 300
12
423
300
M. sch.
32) 126900 (3965 10
96
309
288
210
192
180
160
(20)
16
320
32
(0)

Decimally.

Flem. s. Marks. Flem. s.

If 20 : 7.5 :: 35.25
4 : 1.5 :: 35.25
1.5
17625
3525
4) 52875
Marks in 1l. sterling 13.21875
300
Marks in 300l. sterling 3965.62500
16
3750
625

Schilling-lubs 10.000

2. How much sterling money will a bill of 3965 Exchange marks to schilling-lubs amount to, exchange at 35s. 3d. Flemish per pound sterling?

Flt. d. L. St. Mkr. sch.
If 35 3 1 3965
12 32
2
423 7930
20d.
11897
423) 126900 (300l. ster.
1269

Decimally.

4 : 1.5 :: 35.25
1.5
17625
225
4) 52875 (13.21875
13.21875) 3965.62500 (300l. ster.
3965625

Par in Ster. s. d.

12 Deniers } make 1 fol = 0 0 \frac{1}{2}
20 Sols 1 livre = 0 9 \frac{1}{2}
3 Livres 1 crown = 2 5 \frac{1}{2}

At Paris, Rouen, Lyons, &c. books and accounts are kept in livres, sols, and deniers; and the exchange with Britain is on the crown, or ecu, of 3 livres, or 60 sols Tournois. Britain gives for the crown an uncertain number of pence, commonly between 30 and 34, the par, as mentioned above, being 29\frac{1}{2}d.

EXAMPLE 1. What sterling money must be paid in London to receive in Paris 1978 crowns 25 sols, exchange at 31\frac{1}{2}d. per crown?

Sols. d. Cr. sols.

If 60 : 31\frac{1}{2} :: 1978 25
60
253
118705
253
356115
593525
237410

60) 3003236 \frac{1}{2} Rem.

8) 500539 3
12) 62567 11
20) 5213 13

L. 260 13 11\frac{1}{2} Ans.
Z 2

Cr. Sols.
1978 25, at 37½d.
d. 247 5 0
30 = 1/10 12 7 3
1/2 = 1/20 1 0 7½
1/4 = 1/40 0 0 10½
Sols. 20 = 1/2 0 0 2½
5 = 1/4
260 13 11½
Cr. d. Ster. Cr. d. Ster.
As 1 : 31.625 1978.416 62567.427083
d. Liv. L. s. d.
If 32½ : 3 121 18 6
8 20
865
24 2438
12
29262
24
117048
58524
Liv. sols. den.
263)702288 (2670 5 11 Ans.
Rem. (78 = 5 sols 11 deniers.
Par in Ster. s. d. f.
1 ree = 0 0.27
400 rees make 1 crusade = 2 3
1000 rees make 1 millree = 5 7½

In Lisbon, Oporto, &c. books and accounts are generally kept in rees and millrees; and the millrees are distinguished from the rees by a mark set between them thus, 485 × 372; that is, 485 millrees and 372 rees.

Britain, as well as other nations, exchanges with Portugal on the millree; the par, as in the table, being 67½d. sterling. The course with Britain runs from 63d. to 68d. sterling per millree.

EXAMPLE 1. How much sterling money will pay a bill of 827 × 160 rees, exchange at 63½d. sterling per millree?

Rees. d. Rees.
If 1000 : 63½ 827.160
8 507
8000 507 579012
413580
Rem.
8000)413580 120 2
12)52421 5d.
20)4368 8s.
L. 218 8 5½ Ans.
Rees.
827.160, at 63½d.
d. 206.790
60 = 1/2 10.3395
3 = 1/10 .861625
1/2 = 1/20 .4308125
1/4 = 1/40
218.4219375

The rees being thousandth-parts of the millrees, are annexed to the integer, and the operation proceeds exactly as in decimals.

2. How many rees of Portugal will 500l. sterling amount to, exchange at 5s. 4½d. per millree?

d. Rees. L.
If 64½ : 1000 500
8 20
517
8000 10000
12
120000
8000
Rees.
517)96000000 (1856.866 Ans.
Par in Ster. s. d.
35 mervadies make 1 rial = 0 5½
8 rials 1 piafre = 3 7
375 mervadies 1 ducat = 4 11½

In Madrid, Bilbao, Cadiz, Malaga, Seville, and most of the principal places, books and accounts are kept in piafres, called also dollars, rials, and mervadies; and they exchange with Britain generally on the piafre, and sometimes on the ducat. The course runs from 35d. to 45d. sterling for a piafre or dollar of 8 rials.

EXAMP. 1. London imports from Cadiz goods to the value of 2163 piafres and 4 rials: How much sterling will this amount to, exchange at 38½ sterling per piafre?

Piafr. Rials.
2163 4 at 38½d.
d. 216 6
24 = 1/10 108 3
12 = 1/20 18 0 6
2 = 1/40 2 5 0½
1/4 = 1/80 1 2 6½
345 17 1½
1 7½
L. 345 18 8½ Ans.

2. London remits to Cadiz 345l. 18s. 8½d. How much Spanish money will this amount to, exchange at 38½d. sterling per piafre?

[ 363 ]

Exchange. d. Piaf. L. s. d.
If 38½ : 1 :: 345 18 8½
307 20 614) 1328389 (2163 piafres.
2 6918 1228...
12
614 1003
614
83024
16
3898
498149 3684
83024
2149
1842
Carried up 1328389
307
8
Piaf. Rials. 614) 2456 (4 rials.
Anf. 2163 4 2456

5½ Soldi } make { 1 gros
24 Gros } { 1 ducat = 50½d. sterling.

The money of Venice is of three sorts, viz. two of bank money, and the picoli money. One of the banks deals in banco money, and the other in banco current. The bank money is 20 per cent. better than the banco current, and the banco current 20 per cent. better than the picoli money. Exchanges are always negotiated by the ducat banco, the par being 4s. 2½d. sterling, as in the table.

Though the ducat be commonly divided into 24 gros, yet bankers and negotiators, for facility of computation, usually divide it as follows, and keep their books and accounts accordingly.

12 Deniers d'or } make { 1 sol d'or
20 Sols d'or } { 1 ducat = 50½d. sterling.

The course of exchange is from 45d. to 55d. sterling per ducat.

EXAMP. 1. How much sterling money is equal to 1459 ducats 18 sols 1 denier, bank money of Venice, exchange at 52½ sterling per ducat?

Duc. d. Duc. sol. den. d.
If 1 : 52½ :: 1459 18 1 52½ rate.
52½
Sols.
10 = 1½ 26½
5 = ¾ 13¼
2 = ¾
1 = ¾
den. 1 = 1½
d. 75868
¼ = 729½
½ = 364¾ 47½
76962½
47½
Rem.
12) 77010 (6d.
2) 6417 (17s.
L. 320 17s. 6d. sterling. Anf.

2. How many ducats at Venice are equal to 385l. Exchange; 12s. 6d. sterling, exchange at 4s. 4d. per ducat?

L. Duc. L.
If 21½ : 1 :: 385.625
.21½) 385.625
21 385.625
Duc.
195) 347062.5 (1779.8 Anf.
195
1520
1365
1556
1365
1912
1755
1575
1560
(15)

Bank money is reduced to current money, by allowing for theagio, as was done in exchange with Holland; viz. say, As 100 to 120, or as 10 to 12, or as 5 to 6, so the given bank money to the current sought. And current money is reduced to bank money by reversing the operation. And in like manner may picoli money be reduced to current or to bank money, and the contrary.

100 ducats banco of Venice.

12 Denari } make { 1 soldi s. d.
20 Soldi } { 1 pezzo = 4 6 sterling.

Books and accounts are generally kept in pezzos, soldi, and denari; but some keep them in livres, soldi, and denari; and 12 such denari make 1 soldi, and 20 soldi make 1 lire.

The pezzo of exchange is equal to 5½ livres; and, consequently exchange money is 5½ times better than the lire money. The course of exchange runs from 47d. to 58d. sterling per pezzo.

EXAMP. How much sterling money is equivalent to 3390 pezzos 16 soldi of Genoa, exchange at 51½d. sterling per pezzo?

Soldi. d. Pez. soldi.
If 20 : 51½ :: 3390 16
8 20
415
160 67816
415
339080
67816
271264
d. L. s. d.
160) 28143640 (175897½ = 732 18 1½
Z z 2

Exchange. If sterling money be given, it may be reduced or changed into pezzos of Genoa, by reversing the former operation.

Exchange money is reduced to lire money, by being multiplied by 5\frac{1}{2}, as follows:

Pezz. soldi. Decimally.
3390 16 3390.8
5\frac{1}{2} 5.75
16954 0 169540
\frac{1}{2} = 1695 8 237356
\frac{1}{2} = 847 14 169540

Lires 19497 2 Lires 19497.100
And lire money is reduced to exchange money by dividing it by 5\frac{1}{2}.

In Milan, 1 crown = 80
In Naples, 1 ducat = 86
In Leghorn, 1 piastra = 20
In Sicily, 1 crown = 127\frac{1}{2}
12 Denari make 1 soldi s. d. Ster.
20 Soldi 1 piastra = 4 6

Books and accounts are kept in piastres, soldi, and denari. The piastra here consists of 6 lires, and the lire contains 20 soldi, and the soldi 12 denari; and consequently exchange money is 6 times better than lire money. The course of exchange is from 47d. to 58d. sterling per piastra.