SIMILAR SOLIDS

3725. A 2-inch cube is how many times as great as a 1-inch cube?

NOTE. Similar solids are to each other as the cubes on their corresponding lines. Thus, the smaller cube is to the larger cube as 13 is to 23.

3726. A cubic foot of water weighs 1000 ounces. What is the weight of a 3-foot cube of water?

3727. It is estimated that a cubical crib 10 feet long will hold 500 bushels of corn in the ear. How much corn will a cubical crib 20 feet long hold?

3728. A cubic foot of ice weighs 57.5 pounds. What is the weight of a cube of ice one edge of which is 6 feet?

3729. A cylindrical tank 4 feet in diameter holds 20 barrels of water. What is the diameter of a similar tank that will hold 160 barrels?

3730. A rectangular prism is 9 by 12 by 16 inches. What is the volume of a similar prism whose shortest edge is 27 inches?

3731. A square pyramid whose height is 60 feet contains 27,000 cubic feet of space. What is the volume of a similar pyramid whose height is 12 feet?

3732. What is the height of a cone which contains 343 cubic feet of space, if a similar cone 10 feet high contains 64 cubic feet of space?

3733. The volumes of two spheres are 1728 cubic inches and 13,824 cubic inches. How does the diameter of the smaller compare with that of the larger?

NOTE. The corresponding lines of similar solids are to each other as the cube roots of their volumes.

3734. Two cubical bins hold 125 and 729 cubic feet of grain, respectively. How do their heights compare ?

Percentage

3735. What per cent of 25 is 1? 30? 100 ? 15? 21? 35? ? 80? 121? 2500?

3736. Of what number is 25 100%? 20%? 1%? 25%? 1000%? 10%? 121%?

3737. A herd of cattle increased 25% one year and 40% the following year. The herd then contained 20 less

cattle than twice its number before the increase. How many cattle were in the herd at first?

3738. An estate of $32,000 was apportioned among three heirs as follows: The first received 45% of it; the second, 30% of it; and the third, the remainder. The estate drew 4 per cent simple interest for five years when the division was made. How much did each heir receive?

3739. An agent bought a thresher's outfit at 20% off the list price and sold it at 40% more than the list price, and thereby gained $900. What was the list price?

3740. Three agents attempt to sell a merchant the same grade of oil at the same list price, subject to deductions as follows: The first offers 40% discount; the second, 30% and 10%; the third 20% and 20%. With which agent is it the most advantageous for the merchant to buy, and how much?

3741. I purchased a bill of chemicals subject to the following discounts: 25%, 20%, 10%, 5%, and 2%. Find a single discount equivalent to all of these discounts.

3742. I sent an agent $12,000 with which to purchase wheat, allowing him 2% for purchasing. He paid 80 a bushel for the wheat and sold it for 88 a bushel, charging 2% for selling. After paying both commissions what per cent of profit did I receive on my investment?

3743. The real estate of a town is assessed at $720,000 and the personal property at $120,000. The rate of taxation for school purposes is 9 mills on the dollar. How much tax is secured for school purposes?

3744. The city, county, and state taxes of a city assessed at $88,000,000 amount to 221⁄2 mills on the dollar. How much tax is thus secured?

3745. How much will it cost to insure a mill for $11,000 at %; machinery for $5500 at 11%; and contents, for $4000 at 2%?

INTEREST

3746. What principal at 7% will earn $30.87 in 31 years?

3747. What sum of money at interest at 6% will amount to $333.61 in 2 yr. 6 mo. 15 da. ?

3748. At what rate will $1110 earn $79.92 in 1 yr. 7 mo. 6 da.?

3749. How long will it take $720 to earn $47.16 at 6% interest?

Find the interest at 6% of

3750. $340 for 1 yr. 3 mo. 5 da. 3751. $379 for 1 yr. 4 mo. 10 da. 3752. $926 for 3 yr. 3 mo. 3 da. 3753. $1000 for 1 yr. 6 mo. 20 da. 3754. $600 for 2 yr. 1 mo. 6 da.

BANK DISCOUNT

3755. What is the bank discount of a note of $573, due in 90 days, at 5% ?

3756. What are the proceeds of a note of $5000, due in 90 days, and discounted at a bank at 41%?

3757. What are the proceeds of a 4-months note of $6000 drawing 9% interest if discounted 2 months after date at 8%?

3758. A has a 6% $4000 note due in 60 days, which he sells to a bank 45 days before it is due. If the bank discounts it at 5%, how much does A receive?

3759. An 8% note of $6000, due in 4 months, was sold at a bank 30 days after date. If the bank discounted it at 6%, what were the proceeds?

3760. $271.

OMAHA, NEB., May 1, 1905.

Sixty days after date I promise to pay Nelson Briggs or order, Two Hundred Seventy-one Dollars, with interest at 6%, value received. B. B. MORRISON.

This note was discounted 20 days after date at 6%. What were the proceeds?

3761. I purchase a 30-day 6% draft for $11,994 and pay 1% premium. What is the face of the draft?

STOCKS AND BONDS

3762. What will be the cost of 100 shares of stock quoted at 1011?

3763. 60 shares of stock were bought at par and sold at 90. How many dollars were lost?

3764. 22 shares of railroad stock were bought at 58 and sold at 68. What was the face value of this stock?

3765. What was the purchase price of the stock? 3766. What was the selling price of the stock? 3767. How many dollars were gained?

3768. What per cent was gained on the investment? 3769. A company declared a dividend of 8%. How much does A receive who owns 48 shares of stock?

NOTE. Brokerages, assessments, dividends, premiums, and discounts are reckoned on the face or par value of the stock.

3770. If mining stock is quoted at 105ğ, what is the cost of 28 shares?

3771. A man who owns 26 shares of stock receives $126 income from it. What per cent of the face value of the stock does he receive?

3772. If he paid $60 a share for the stock, what per cent did he make on his investment?

3773. 501 shares of stock were purchased at 90ğ and sold at 911. How much was gained?

3774. A man bought 75 shares of railroad stock at 86, brokerage %. What was the cost of the stock?

3775. What was the face value of the stock?

3776. How much did the broker receive?

3777. A man bought 81 shares of railroad stock at 105 and sold it a year later at 111. During the year he received a dividend of 12%. How much did he make if he paid 1% brokerage in each transaction?

3778. What was the par value of his stock?

3779. What was the market value of the stock when purchased?

3780. What was its market value when sold?

3781. What per cent did he make on the par value? 3782. What per cent did he make on the market value? 3783. 55 shares of 6% stock were purchased for $5700. What was the annual income?

3784. The annual income from 5% stock quoted at 1383, brokerage, is $6925. What is the market value?

3785. What is the face value?