The Jackson standard. [volume] (Jackson C.H., Ohio) 1847-1888, 1870-02-03
Jackson. Jan. 3Ist. 1870.

WSSN paP0t9 ubu lVuL NaFVAetOn
Of the following Arithmetical question;
A and B enter into partnership; AS
capital is 5 cents and BIS 5 cents the
firm invests all the capital in apples at
cent apiece; purchaser G buys l-3 of
the apples for cents A eats l-2 Of the
remainder and B the other l-2 In set
Ting up tho business of the firm, how
much will each receive?
Your aversion Of the matter" GER
tainly fails to answer the question pro-
posed in the problem.
When A and 3 sold l-3 ofl8 apples,
they sold 2 9-S apples, and had s is
apples left. This far, We agree.) A
then eats 1.2 of the remainder, and B
the other l-2, The apples are all gone
the firm is without stock. They have
sold out. G bought l-S, A l-3, and
BIB. In settling up the business Of
the firm, they must overhaul the books.
Here they find G charged with g 2-3
apples at 8 cents each, which make 8
cents. A charged with 2 2-3 apples at
cents each, which make cents. B
charged with 2 2-3 apples at 3 cents
each, which make 8 cents. Add these
up, and we find that the whole sold for
"a cents. G has a credit of 8 cents, the
only credit the firm has. Since A fur
nished So of the capital, he must be en-
titled to 5-8 Of "a cents, or SO of the
whole of what the goods sold for. SO
OF 24=15 cents, AS share. Since B
furnished 3-8 of the capital, he must be
entitled to 3-8 of "a cents, which is 0
cents, BIS share. Now A owes the
firm cent?. Substract what be owes
from his share, and you have cents.
Now B owes the firm 8 cents. Sub
tract what he owes from his share, and
you have cent. Hence, of the 8 cents
which G paid, A is entitled to Z cents,
and B cent. '5.
This is based upon the hypothesis
that, in the absence ofany contract, part
ners must pay the same for their goods
that outsiders pay--a hypothesis that
every storekeeper and clerk in town will
tell you is correct.
Again, let us take this view, which
is perfectly correct, that we deduct
from each ones capital, (Which is s ap-
Piles and 8 apples,) what he used for his
own use, and that leaves A 1l3 or
7-3 apples, and B l.3 Of an apple.
Then, their ratio will be, as 7 is to /,
which will bring the same result.
Your mistake is here. You divide
the profit, as soon as you sell to G; you
then invoice the remainder, and let B
have part of AS goods at cost price,
before eating the apples. N Psi
But the problem says, that they sold
G l-3 and A and B each took 1-2 Of
the remainder, and then the settlement
took place.
| admit that you are right, if the set
tlement had been made before the last
2-3 of the goods had been disposed Of,
because the rule for settling business,
where goods remain undisposed Of, is
to invoice at cost price.
You will perhaps object to having
partners charged the same for goods,
that customers are charged. know
this is not customary; neither is it GUS
tomnry to let them have their goods at
cost; firms nearly always make con
tract regulating that, and that is done
by adding certain per cent to the cost
price. ".'"' wv.
have been drawn into street argu-
ments on the last two Saturdays, dur.
ing which we managed to block the
side walks. l hope those persons who
were compelled to wade the mud, in
order to pass the crowd, will pardon
us. | promise to do so no more ]
am satisfied that mountain of argu-
ment would mol conAince some of those
who take the same method of solution
that you do, that they are wrong. So
we may honestly differ Let the Ex-
aminors make their questions plain
hereafter, and we will, perhaps, agree.
Mr.. Morgan sent me solution,
which brings the same result that my
solution brings-in fact it is the same
If the Examiners would take thu
pains to examine all the questions, be-
fore thOy decide the fate Of, the appli,
cants, they would render more satisfac'
tion On last Saturday week, | wa'
brought into a Street argument on thil
question, in which heard you say,
that you had not examined tho quos-
ton, and did not know the correct an
; swer. | afterwards asked Mr., Long
what tho answer was, and his answer
was nearly the same as yours. Now
more than dozen men heard you say
just what did, They think you should
examine the questions before deciding
what the grade of that branch shonlC
be, | think so too. The Institute being
in session, and the active part you aht
Mr.. Long were compelled to take in 1t,
and the confidence you conld place in
Mr. Morgan's ability to determine what
answers were correct, will be ample ex
cuse for this seeming fault. | am MOI
wishing to do any body injustice, if you
think there is anything in this, too per-
sonal for publication, don't publish it
YoURs TRULY, see b'.
JAMES A. ALEsIuRE.
|