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

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cent. He sells out and invests in the 3 per cents at 957; will he increase or diminish his income?
10. A person sells out ~153,000 stock, 3 per cent. consols at 92k-, and
invests the proceeds in a foreign 5 per cent. stock at 1021; when each
stock has fallen 5-, he again sells out, and reinvests in the 3 per
cents; by how much will the annual income differ fiom what it was at
first?
X.
1. ~400 is due at the end of two years, and ~2100 at the end of
eight years; what is the equated time for one payment, reckoning 5
per cent. simple interest?
2. If ~40 be due at the end of 6 months, ~60 at the end of 12
months, and ~80 at the end of 15 months; what is the equated time for
paying the whole, allowing interest at 3 per cent. per annuml?
3. Supposing ~100 due now, and ~1000 at the end of 10 years;
required the equated time of payment at 5 per cent. per annum.
4. A is under an engagement to pay B the sum of ~400 at the end
of 2 years, and of ~2,100 at the end of 8 years. At what time may he
pay both sums together without loss or gain, reckoning at 6 per cent.
simple interest?
XI.
1. Two persons contribute ~8000 and ~12,000 respectively to a
joint trading stock; the gain is ~5000: what is the share of each?
2. A bankrupt's estate is ~500; he has three creditors whose
claims are ~154. 10s., ~320. 5s., and ~415. 5s. respectively; divide it
among them.
3. Three persons contribute ~1000, ~1200, ~1780 respectively,
and after trading 14 years, at the dissolution of the partnership the
firm was found worth ~180,000; what did each man receive?
4. The estate of a bankrupt worth ~21,000 is to be divided among
four creditors; the debts due to A and B are as 2: 3, to B and C as
4: 5, and to C and D as 6: 7; what must each receive?
5. A puts into a speculation ~500 for 18 months, and B ~1000
for 12 months; they gained ~250: find the share of each.
6. Three merchants traded in partnership; one put into the concern
~1500 for 3-k years, another ~1200 for 3 years, and the third ~1000 for
21 months, and they gained ~1000; what was the gain of each
partner?
7. A, B, C enter into business with capitals of ~625, ~925, and
~1200 respectively, and at the end of a year divide profits to the
amount of ~687. 10s.; what is the share of each?
8. A and B were partners for 12 months. A advanced ~400 for
the first 3 months, and then ~750 more; B advanced ~500 for the
first 5 months, and then ~450 more. They gained ~1020; what
should each receive?
9. A and B rent a field for ~60. A puts in 10 horses for 1 - months,