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

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5. How much can be saved out of an annual income of ~706 a
year, if the daily expenditure be a guinea and a half?
6. If an artificer's income be ~7 a week, what may be his daily
expenditure in order that he may save yearly ~100?
7. A labourer receiving wages at the rate of 15s. a week through
the year, saved 6d. a week, which he deposited in the savings bank.
In consequence of a strike his wages were raised 2s. a week, but he
found at the same time that with the cost of living, and his payments
to the trades' union, he had to pay Is. 3d. where he formerly paid Is.
find the increase made in his yearly savings.
8. A person's quarterly income is ~135 1 Os., and his daily expenditure ~2 5s., how much will he be in debt at the end of two years and
a half?
9. If a person spend in 4 months as much as he gains in 3, how
much will he have saved at the end of three years, supposing his
half-yearly income is ~160 1Os.? What would have been the state of
his affairs if his expenditure had been ~160 10s. in 6 months?
10. If a person's gross income be ~1,250 a year, what is his clear
income after paying an income tax of 7 pence in the pound? If his
clear income were ~1,250 after paying the same income tax, what
would be his gross income?
VIII.
1. If the price in shillings of a hundred weight be multiplied by
3 and divided by 7, the result is the value in farthings of a-pound
weight.
2. If 2613 pounds of sugar at 7d. a pound be exchanged against
417 pounds of tea at 4s. 6d. a pound, on which side is the balance,
and how much?
3. How much tea at 3s. 6d. a pound must be given in exchange for
5cwt. 2qrs. of sugar at 4~-d. per pound?
4. If 180 oranges be bought for 2 a penny, and 180 more at 3 a
penny, what is gained or lost by selling the whole at 5 for 2 pence?
5. A merchant exchanged 1,200lbs. of pepper at 13d. a pound, for
equal quantities of two species of cotton at 7d. and 6d. a pound, and
one-third in money; how much money, and how many pounds of eaclh
sort of cotton did he receive?
6. A grocer mixed 106lbs. of tea at 3s. 4d. a pound, 751bs. at
5s. 2d., and 941bs. at 5s. 5d., and sold the mixture at 5s. a pound;
what was the gain?
7. Of three sorts of barley a mixture is made, namely, 8 bushels at
3s. 6d., 15 at 3s. 8d., and 28 at 3s. 10d.; what is the value of a bushel
of the mixture?
IX.
1. Find the yearly average of the profits or losses in seven years of
a trader who gained in the first, third, fourth, and sixth years the