LESSONS IN AIMTIIMKTir. 



195 



EXAMPLE 8. If the par of exchange, calculated from the 

 comparison of tho silver ooinago of England and Franco, bo 125 

 franca, iiml tho price of English standard silver. 



1 kilogramme of French standard silver, -f,, fine, is coined into 200 franc*. 

 English standard silver In IS fine. 



1 oz. English standard silver. 



37 oz. fine silver. 



10 oz. French standard. 



480 grains. 



15432 



1 kilogramme. 



200 francs. 



25- 20 shillings. 



Answer. 5s. Ijd. nearly. 



EXAMPLE 9. Suppose the exchange between London and 

 Amsterdam to be 12 florins 15 cents, for .1 ; between Amster- 

 dam and Lisbon 8 florins for 3 mil-reis ; between Lisbon and 

 Paris 18 reis for 1 franc. What is the arbitrated price between 

 London and Paris ? 



1 pound sterling. 



12-15 florins. 



3 mil-reis. 



100 reis. 



1 franc. 



Answer. 25 fr. 31c. nearly. 

 EXERCISE 62. 

 EXAMPLES TO BE WORKED BY THE CHAIN RULE. 



1. A man spends 500 a year ; how much does he spend a week ? 



2. Reduce 5 10s. 6}d. to farthings. 



3. The value of 33 bushels, at 1 4s. a quarter. 



4. A man travels a certain distance in 15 days, at the rate of 27 miles 

 tt day ; how long will he he in doing the journey if he travel 45 miles a 

 lay? 



5. A dealer barters tea, at 3s. 4d. a pound, for 3 cwt. 2 qrs. of sugar, 

 it 7d. a pound ; how much tea does he give ? 



6. A bar of gold, weighing 210 oz., sells for 3 16s. an ounce ; what 

 ;s the value of 14 ingots, each weighing 41b. 7 oz. ? 



7. 14 yards cost 2 guineas ; what must 176 yards be sold for to gain 

 s. 6d. per ell? 



8. What is the value of a bill on St. Petersburg for 1836 roubles 10 

 i-opecks, exchange at lOd. per rouble ? (1 rouble = ICO copecks.) 



9. Find the relation between the French metre and the Rhenish 

 toot ; the French metre being 39718 inches, and 37 English feet being 

 qual to 36 Rhenish feet. 



10. How much sugar, at 8d. per lb., must be given for 20 cwt. of 

 tobacco, at 3 a cwt. ? 



11. A ton of coals costs a guinea; how "many chaldrons (27$ cwt.) 

 can be bought for 50 ? 



12. I shipped for America 70 hhds. whisky, and 22 cases Irish 

 linen, each case containing 44 pieces ; the whisky sold for 2j dollars 

 >er gal., and the linen 4} dollars per piece; how many barrels of 

 flour, at 4j dollars per barrel, ought I to have received in return ? 



13. A merchant sells in Bordeaux 2500 yards English printed goods, 

 it the rate of 4 francs for 1^ yards; how many yards of French silk, 

 it 6s. 3d. per yard, ought he to receive in exchange, exchange being at 

 -!5 fr. 50 c. for 1 ? 



14. 80 hhds. of porter are sent to India, and sold for 50 sicca rupees 

 per hhd. ; how much sugar, at 1 15s. per cwt., can be bought with 

 the proceeds, supposing a rupee to be equal to 2s. 6d. ? 



15. A dish of lead ore weighs 60 Ibs., and yields, when smelted, 80 



per cent, of load, which U sold at 1% per ton ; bow many dishes of 

 ore must bo suwlted to yield lead worth 4150 f 



Hi. A block of stone, containing 60 cub. ft., weighs 10} feet to the 

 ton ; what is the value, at 5s. 6d. per cub. foot, of mother block of the 

 same weight, which weighs 14 cnb. ft. to the ton ? 



17. A merchant sells 400 yards, which cost L5s., at a gain of 10 per 

 cent ; how much French wine could he purchase with the mono/, at 

 10 fr. 20 o. per gallon, exchange being 25 fr. 30 c. ? 



18. What would paper cost, at Is. 3d. per quire, necessary to print 

 500 copies of a work, in 12 volumes duodecimo, each volume contain- 

 ing 230 pages ? 



10. Find the number of grains of pure gold in a French napoleon 

 , flue, having given that 155 are coined out of 1 kilogramme (2? 

 pounds avoirdupois). 



20. If an imperial gallon contains 277*274 cable inches, and 6 wine 

 gallons are equal to 5 imperial gallons, and 59 ale gallons to 73 

 wiue gallons, find how many cubic inches there are i an ale gallon. 



21. In Bremen, 5 schwaren = 1 grote, 72 grotes = 1 rix-dollar ; if the 

 exchange is 6 dollars 13 grotes for 1, find the value of a dollar in 

 English money. 



22. In China, 1 toel = 10 mace = 100 candareens = 1000 cash ; a tac-1 

 being 6s. 8d., find the equivalent of 15 7s. 6d. in Chinese currency. 



23. In India, 5 tolas = 1 chittak, 16 chittak = 1 seer, 40 seers = 1 

 maund = 180 pounds Troy ; find in avoirdupois weight the equivalent 

 of 2 maunds 25 seers 12 chittaks 3 tolas. 



24. If 1175 Dutch florins are given for 25 francs, 383 florins for 

 437 Hamburg marks, 68 j marks for 32 roubles, and 94 roubles for 15, 

 find how many Dutch florins would be given for 1. 



25. Reduce 532 thalers 25 groschen to English currency, the ex- 

 change being at 6 th. 22} gros. (1 thaler = 30 gros.). 



26. Reduce 21 13s. (id. to Prussian money, at the same rate. 



27. Reduce 532 13s. 6d. to French money, at the rate of 25 francs 

 20 cents, for 1. 



28. Reduce 93 16s. to Austrian money, the exchange being 10 

 silver florins 2 kreutzers for 1. 



29. If Austrian silver is at 20 per cent, premium, find the equivalent 

 of the same sum in Austrian paper. 



30. If an American dollar weighs 412} groins -fa fine, and English 

 standard silver be JJ fine, find the par of exchange between London 

 and America, English standard silver being 5s. 2d. an ounce. 



31. 10 grammes of French standard gold -fa fine are worth 31 francs. 

 Supposing an English sovereign, of which 1869 are coined out of a 

 pound Troy, to be worth 25'17 francs, deduce the English weight cor- 

 responding to a kilogramme. 



32. If English standard gold sells at 78s. per ounce, and another 

 coinage is worth 72s., find the fineness of the latter. 



33. Standard silver being at 5s. 2d. per ounce, and Spanish dollars 

 being quoted at 5s. 6d. per ounce, find the fineness of tho latter. 



34. 1 kilogramme of standard French gold \*j fine is coined into 155 

 napoleons. Into how many sovereigns could it be coined if it were 

 i' fine, each napoleon being 20 francs, and 1 being equivalent to 

 25 francs ? 



35. In Prussia, 14 thalers are coined from a Cologne mark of fine 

 silver, weighing 3609 grains ; find the par of exchange between London 

 and Berlin, English standard silver being 5s. 2d. an ounce, 1 thaler = 

 30 groschen, and Co shillings being coined from a pound Troy of 

 standard silver. 



36. If 20 Austrian florins are coined from a Cologne mark of fine 

 silver, find the par of exchange, English standard silver being 5s. 2d, 

 an ounce. 



37. If 24} florins are coined from the Cologne mark of fine silver, 

 calculate the par of exchange at the same rato for English silver. 



38. If 27 thalers are equal in value to 100 francs, and exchange 

 between London and Berlin is 6 thalers 18 groschen, find the arbitrated 

 rate between London and Paris. 



39. 3-1 Hamburg marks (specie) are coined from the Cologne mark of 

 fine silver ; calculate the par of exchange between London and Ham- 

 burg. (1 mark = 16 schillings, 1 schilling = 12 pfennings.) 



40. Calculate the fixed numbers in each of the five preceding 

 questions. 



41. If tho exchange between London and Berlin be 6 thalers 22} 

 groschen for 1 sterling ; between Berlin and Paris 5 thalers 8 groechen 

 for 20 francs, what is the arbitrated rate between London and Paris ? 



42. If the exchange between London and Paris be 25 francs 20 cents, 

 fo- 1 sterling ; between Paris and Amsterdam, 57 florins 20 cents, for 

 120 francs; between Amsterdam and Lisbon, 3 mil- reis for 8 florins; find 

 the arbitrated rate between London and Lisbon. (100 reis = 1 mil-reis.) 



43. When the exchange on Paris is 25*50 francs; between Paris and 

 Amsterdam, 45} florins for 100 francs ; and between Amsterdam and 

 Lisbon, 320 reis for a florin; what is the arbitrated rate between London 

 and Lisbon ? 



44. Given the following quotations of exchange j- 



London on Amsterdam 

 Madrid . . 

 ,, Paris . . 



Amsterdam on London 

 Paris . . 



9 norms 98 cents, for 1 sterling. 

 47d. for 1 dollar. 



25 francs 40 cents, for 1 sterling. 

 9 florins 90 cents, for 1 sterling. 

 7 florins 75 cents, for 20 francs. 



