(19) A cubical cask 8 feet 6 inches each way is full of oil; a faucet capable of discharging an average of 5 gallons per minute is opened. In what time will the cask be

emptied?

Ans. 15 hr. 18.795- min.

(20) How many tons of Schuylkill coal will fill a car 40 feet long and 6 feet wide to a depth of 4 feet? Ans. 33.4+ T.

(21) What must be paid, at 4 cents per square yard, for kalsomining the walls and ceilings of 4 rooms, each having a height of 9 feet 4 inches, the dimensions of the rooms being as follows: 12 ft. X 14 ft., 15 ft. X 15 ft., 16 ft. X 18 ft., and Ans. $17.31+. 15 ft. x 19 ft.?

room

(22) How many single rolls and how many double rolls of paper will be required to paper the walls of a 16 ft. x 20 ft. 6 in., allowing for a baseboard 7 inches high, 5 doors 3 ft. x 7 ft., and 3 windows 3 ft. X 6 ft., the walls of the room being 11 feet high? Also, how many double rolls of border 18 inches wide are required?

Ans.

7 double rolls. 17 single rolls.

2 double rolls border.

(23) At $1.25 a yard, what will be the cost of carpeting a room 15 ft. X 17 ft., with Brussels carpet, allowing 1 foot Ans. $52.50. on each strip for waste and matching?

=

(24) What would be the cost of erecting the walls of a building 145 ft. X 75 ft., and 30 feet high; the walls being 3 bricks ( 1 foot) thick, allowance to be made for 110 windows, each 7 ft. X 3 ft. 6 in.; for 4 doors, each 8 ft. X 10 ft.; and 2 doors, each 6 ft. X 8 ft.; the bricks to cost $5.60 per thousand, and the laying to cost $1.45 per thousand?

Ans.

{

$1,299.23+ for bricks. $340.46 for laying.

(25) What would it cost to shingle a roof, each side measuring 30 ft. X 15 ft., shingles costing $5 per thousand? Ans. $40.50.

ARITHMETIC.

(PART 7.)

EXAMINATION QUESTIONS.

(1) Express decimally: 1%, 3%, 13%, § of 1%, of 3%.

(2) A farmer planted 61% as many potatoes as his crop amounted to; this was 1,575 bushels more than he planted; Ans. 1,680 bu. how many bushels in his crop?

(3) I pay 371% of my month's salary to my grocer, 121% of it to my butcher, and 163% of it for other expenses, and then have $90 of it left; how much do I get per year?

Ans. $3,240.

(4) A merchant bought some goods at 20% below list price, and sold them so as to gain 30%; at what per cent. Ans. 4%. above list price did he sell them?

(5) Two horses were sold at $120 each; if by the transaction 25% was gained on one and 25% lost on the other, how Ans. $16 lost. much was gained or lost?

(6) A bought a horse and sold it to B at an advance of 20%; B sold it to C and gained 25%; what did each man pay for it if it cost C $60 more than it cost A?

A, $120.

(7) What number increased by 121% of itself is equal to $3,690?

Ans. $3,280.

For notice of copyright, see page immediately following the title page.

(8) A speculator, after losing 35% of his money and 10% of the remainder, had $17,550 left; how much did he have at first? Ans. $30,000.

(9) A man earned 20% more during the second of three years than he did the first, and 25% more during the third year than he earned the second; in the three years he earned in all $7,400. What sum did he earn each year?

(10) If I should sell my horse for $140, my gain would be 12%; for what must I sell him to gain 28%. Ans. $160.

(11) the smaller; what are the numbers?

The sum of two numbers is 2,200, which is 275% of

Ans.

{

Larger, 1,400.

Smaller, 800.

(12) A commission merchant sold some goods for $8,407.96; his commission was 2%, for guaranteeing payment he charged 14%, and his other charges were $275. How much should he send his principal? Ans. $7,838.68.

(13) Find A's tax, knowing that the tax rate is 12 mills on 100 cents, that his assessment on real estate is $7,800, on personal property $5,640, and that he pays for three polls at $.75 each. Ans. $170.25.

(14) How much better on a bill amounting to $987.50 is a discount of 40% than discounts of 20% and 20%? Ans. $39.50.

(15) A boy buys oranges, and always receives for 3 of them as much as he pays for 5; what is his gain per cent.? Give reasons for your solution. Ans. 66%.

(16) If the premium for insuring a store is $267 when the rate is 11%, what is the amount of insurance?

(17)

Ans. $17,800.

When the rate is three-fourths of 1%, and the amount to be insured is $75,375, what will be the premium?

Ans. $565.31+.

(18) After deducting 2% commission and 1% for insurance, a commission merchant remitted $6,613 as the proceeds from a sale of peaches; for how much were the peaches sold? Ans. $6,800.

(19) A commission merchant received $520.45 to buy peaches after deducting expenses; drayage cost $18.75, storage, $8.50, and his commission was 24%. At $.75 a crate, how many crates did he buy? Ans. 640.

(20) A merchant bought 200 barrels of flour at $5.40 per barrel; he sold 65% of it at $5.90 and the remainder at $6.50. Find the gain per cent. Ans. 13%.

(21) A merchant purchased a bill of goods, on which he received a serial discount of 20%, 15%, and 5%; if, instead, he had been given a discount of 20%, 10%, and 10%, his bill would have been $25.48 more. Find the amount of the bill without discount. Ans. $12,740.

(22) A life-insurance company took a risk at 3% annual premium for $25,000; the company reinsured 28% of their risk at 1% in a second company, and 48% of it at 3% in a third company. What was the annual gain of the first company by reinsuring? Ans. $41.25.

(23) A discount of 20% on three-fourths of the amount of a bill, and 15% on the remainder is $324.50 better than a discount of 16% on the whole bill; find the amount of the bill. Ans. $11,800.

(24) A dealer receives $33.90 more for a piano by allowing a serial discount of 20%, 10%, and 10% instead of one of 25%, 15%, and 5% from the list price; what is the list price? Ans. $800.

(25) A merchant sold 20% of his stock at a gain of 20%, 30% of the remainder at 1.25 of its cost, and what still remained he sold at seven-eighths of its cost; did he gain or lose, and what per cent.? Ans. 3% gain.