Valuk.
LEAVING CERTIFICATE EXAMINATION.
1015
COMMERCIAL ARITHMETIC.
Second Paper.
Tuesday, 27th June.—10 a.m. to 11.30 A.M.
All the working must be shown in its proper position in the answer,
and the different steps of the calculation should be shortly
indicated in words.
Before attempting to answer any question, candidates should read the
whole of it very carefully, since time is often lost through mis¬
apprehension as to what is really required.
7. Marks are given for neatness, arrangement, and stylo.
Algebraical symbols may be used if properly explained.
A table of four-place logarithms is provided.
6. 1. A grocer mixes teas worth Is. id. Is. §d. Is. 8d. per lb. in the propor¬
tion of 5, 4, and 3 ; find at what price per lb. he must sell the
mixture so that he may make at least 25 per cent., taking
the lowest exact number of pence which will allow this profit.
6. 2. If a cubic decimetre of water weigh a kilogramme, find the
weight of water in grammes contained in a tank one metre long,
46-5 centimetres broad, and 23'5 centimetres deep.
3. An English merchant buying French ribbon calculates that, for
every 20 centimes per metre in the French price, the English
price should be 21 pence per dozen yards. Adopting this rule,
find the price per yard in English money to the nearest farthing
corresponding to (1) 60 centimes per metre, (2) 2 francs 60
centimes per metre, (3) 1 franc 15 centimes per metre.
8- 4. Find the cost of the paper required for papering a room whose
length, breadth, and height are respectively 19 feet, 16 feet and
11 feet, with paper 21 inches wide at 2s. id. per piece of 12
yards, allowing 80 square feet for doors, windows, wastage, &c.
5. Explain what is meant by the present worth of a sum of money
due at some future date.
Find to the nearest pound the present worth of £1000 due
3 years hence, if money be valued at 4£ per cent, compound
interest payable annually.
12. 6. A Danish 10-kroner piece weighs 4-48 grammes, of which ^ is
pure gold. If ,1869 sovereigns be coined from 480 ounces of
which yj is pure gold, and if three ounces be equal to 93-31
grammes, find to 2 decimal places the value of a sovereign in
kroner, the metal with which the gold is combined being of no
value in both cases.
14. 7. If the rate of exchange between London and Paris be 25-20 francs
for £1, that between London and Berlin 20-50 marks for
£1, and that between Berlin and Paris 81 marks for 100 francs,
find how much a merchant would have to pay in order to remit
10,000 francs to Paris (1) directly, (2) via Berlin