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

20

XIX.
1. How many ounces, pennyweights, and grains are there in 9-.
of a pound Troy? What fraction of a pound Troy is 6oz. 12dwts.
l2grs.?
2. What is the value of a bar of gold weighing 87oz. 2dwts. 20grs.
at ~3 17s. 10 d. per ounce?
3. Standard gold contains 22 parts of pure gold to two of alloy;
if 201b. Troy is coined into 934 sovereigns and one half-sovereign,
find the weight of pure gold in a sovereign.
4. If a grain of pure gold be worth 21d., what should be the
weight of a sovereign?
5. In standard gold how much per cent. is alloy?
6. If a sovereign by wear become one grain lighter than it ought
to be, what loss will be sustained by selling 100 light sovereigns as
bullion to the Bank of England at ~3 17s. 9d. per ounce?
7. The English mint formerly coined 44- guineas out of one pound
Troy of standard gold; it now makes 4629o sovereigns out of the same
quantity of gold. Is there any gain or loss by the change?
8. If an ounce of standard gold be worth ~3 17s. 10 d., what is the
value of lOlb. of jewellers' gold in which the weight of alloy is 5
parts out of 12, the value of the alloy being neglected?
9. If 4oz. of gold, 17 carats fine, are mixed with 3oz., 13 carats
fine, how much pure gold will there be in a gold ornament weighing
3- oz. of the compound?
10. From 1797 to 1821 cash payments were suspended. Before
that time the value of gold was ~3 17s. 10-d. per oz., but in 1815 it
rose to ~4 13s. 6d. per oz. How much per cent. had the currency
depreciated?
11. How many sovereigns will weigh one ounce avoirdupois if
1869 weigh 40 pounds Troy?
12. In standard gold, if the alloy be silver at 5s. 6d. an ounce
Troy, or copper at Is. 6d. a pound avoirdupois, what is the difference,
in value of the sovereign when alloyed with copper and when alloyed
with silver?
XX.
1. If 6 grains of silver are worth 5 farthings, what should be the
weight of a crown?
2. Suppose the alloy in silver coin to be I of the mass, what
would a crown piece be worth if it were all silver?
3. A shilling weighs 3dwts. 15grs., of which 3 parts out of 40 are
alloy, and the rest pure silver. What is the weight of alloy and of pure
silver in a half-crown?
4. Supposing the alloy in a shilling to be - of its mass, and the
coin to be worth a farthing if it were all alloy, what would be its
exact value if it were all pure silver?