Elementary arithmetic, with brief notices of its history... by Robert Potts.

19

XVIII.
1. If the value of a rupee be 2s. 4cl., express ~7'5642 in rupees
and decimal parts of a rupee.
2. If ~1 sterling be worth 12 florins, and also worth 25-56 francs,
how many francs are there in one florin?
3. An American dollar is worth 4s. 3|-d. or 5-42 francs; what is
the least sum which can be paid in either shillings, dollars, or francs?
4. If 11-75 florins of Amsterdam be worth 13-5 marks of Hamburgh,
and 120 florins be worth 25 lire of Genoa, and 5 lire be worth 800
Portuguese rees, and 1000 rees be worth 54 pence; what advantage
or disadvantage will there be between sending ~500 direct from
London to Hamburgh at an exchange of 13-6875 marks for one pound
sterling, or sending it by way of Lisbon, Genoa, and Amsterdam?
XIX.
1. Reduce 23 of an ounce to the decimal of a pound Troy; and
reverse the operation.
2. Find the exact values of the following concrete decimals: ~379
of an ounce, and '954 of a pound Troy.
3. If the unit of Troy weight called the pennyweight counted
14'25 grains instead of 24, how many grains would make the pound
Troy?
4. What number will represent 116-0435 grains when 4-0015
grains is the unit of weight?
5. If the Attic silver drachma be taken at 9Id. when its exact
value is 9-72 pence, what difference does this make in the talent of
silver, if a talent consisted of 9,000 drachmee?
6. If 251 francs be worth ~1, and gold be worth ~3 17s. 10-d.
per ounce, how much pure gold could be bought for a franc?
XX.
1. If silver be worth 5s. 6d. an ounce, and pure gold be worth
~4 5s. an ounce, what should be the weight of a fifteen-shilling piece
containing 92-5 per cent. of pure gold and the rest silver?
2. The value of one ounce Troy of English standard gold is
~3 17s. 101d., 31-1 French grammes are equal in weight to one
ounce Troy, and French standard gold is -6 of the value of English
standard gold. If one gramme of French gold be worth 3*1 francs,
what is the worth of one pound sterling in francs?
3. One kilogramme of French standard gold 9- fine is coined
into 155 Napoleons. One pound of English standard gold -- fine is
coined into 1,869 sovereigns. If a sovereign be reckoned as equivalent
to 25-22 francs, find the equivalent of a kilogramme in grains.
4. If a sovereign weigh 5 dwts. 31 grs., one part out of 12 being
alloy and the rest pure gold; find what fraction of a cubic inch the