COMMERCIAL DISCOUNT.

924. Slate Problems.

1. On a bill of goods amounting to $583.40, a discount of 5% is given for cash. What is the amount paid?

2. What will be the cost of 16 gross of Roman candles at $26.75 per gross, less 60%?

3. Sept. 1, 1894, I bought tea amounting to $1,876.50. If 5% is deducted for payment within ten days, how much would I have to pay if I paid the bill Sept. 9?

4. What will be the cost of 15 cases cocoa @ $13.20 each, less 20%?

5. Bought 5 gross of essence of lemon at 50 per doz., less 5%. What is the amount of my bill?

6. Find the cost of 15 cases of chloride of lime, 50 lb. per case, at 91⁄2¢ per lb., less 15%.

7. What will be the net cost of a bill of plated ware amounting to $84.75, on which a discount of 33 and 10% is allowed?

$84.75

less 28.25

56.50

This means 331% discount on the gross amount. and 10% discount on the remainder.

8. Find the difference between $390 less 43% discount, and $390 less 33 and 10% discount.

9. Thurber, Whyland Co. sold the following goods. Make out the bill, less 50 and 10 and 10 and 10% discount.

500-pound bags at $1.00 per M.

10. Find the net cost of 18,500 bags at $4.40 per M. less 60 and 10 and 5%.

11. Which is the better discount for the buyer, 40 and 10% or 30 and 20%? What will be the difference on a bill of $100?

12. $100 less 33 and 10% discount is equal to what? What per cent discount is 33 and 10% equal to? To what per cent net is it equivalent?

926. Oral Problems.

1. A piano, marked $800, is sold at a discount of 25 and 10%. What is the selling price?

2. Bought goods amounting to $600, less 5% for cash. What is the net cost of the goods?

3. What single discount is 50 and 10% equal to?

4. What single discount is 30 and 30% equal to?

5. Paid $729 for goods, on which 10% was allowed. What was the "gross" price?

6. How much will I have to pay for 12 doz. bottles flavoring extract, at 60 per doz., less 10% ?

7. What is the "list" price of an article for which I paid $48, after a discount of 25% was deducted?

MEASUREMENTS.

929. Slate Problems.

1. Mark in each division of each of the following rectangles its area in square feet. Dimensions of each rectangle 100 ft. by 60 ft.

2. Find the area of each of the following triangles in square feet; base of each 100 feet, altitude 60 feet.

4444

3. Mark in each of the following eleven triangles its area in square feet; altitude of each, 60 ft.

4. Find the area of each of the following four triangles in square feet; altitude of each, 60 ft.

50

AAA

60

70

40

5. Find the area of each of the following four parallelograms; altitude of each, 60 ft.

6. Find the area of each of the following trapezoids; altitude of each, 60 ft. The number of square feet in each is equal to 60 multiplied by what?

7. One diagonal of each of the following quadrilaterals measures 100 feet. The perpendiculars let fall on this diagonal from the opposite corners measure 30 ft. and 40 ft., respectively. Find the area of each in square feet.

30

100

30

30

100

8. Cut from a strip of paper, AB, two inches wide, a rectangle, a rhombus, and a rhomboid, as given in the accompanying diagram. Show that the three parallelograms are equal in surface.

9. Cut from a strip of paper, two inches wide, three trapezoids. Make one parallel side of each 2 inches long, and the other parallel side 3 inches long. Divide up each trapezoid in such a way as to show that its surface is equal to that of a rectangle 21 in. by 2 in.

1. How many cubic feet are there in a block of granite whose base is 4 feet square, and whose height is 6 feet?

2. Find the value of the above block at 60¢ per cubic foot, and the cost of polishing its six faces at 60 per square foot.

3. A contractor charged 30¢ per cubic yard for digging a cellar 21 feet wide, 60 feet long, 9 feet deep. What was the amount of his bill?

4. What will be the cost of cementing the floor of the above cellar at 75 per square yard? Deduct from the given dimensions the thickness of the four walls, eighteen inches each. Make a diagram.

5. A cubic foot of water weighs 1,000 ounces. Marble is 2.8 times as heavy. Calculate the weight, in tons, of a marble shaft 4 feet square and 12 feet high. (Cancel.)

6. A carpenter is making a cubical box whose inside measurement is 1 foot. Each side consists of a single piece of wood 1 inch thick. Give the dimensions, in inches, of each of the six pieces used.

7. How many pounds avoirdupois would there be in a brick of pure gold 8 x 4 x 2 inches, gold being 19.4 times as heavy as water?

8. Find the weight in pounds of a cord of pine wood, which is .66 times as heavy as water.

9. A cube of marble, 12 inches on a side, is enclosed for transportation in a tightly fitting wooden box made of material one inch thick. What are the outside dimensions of the box? How many cubic inches in the wood and the marble together? How many cubic inches are there of each?

10. An iron cube 2 feet long weighs 2 tons. How many times as heavy as water is iron? Calculate the weight of an iron cube 1 foot long. Of one 3 feet long.