4. If 100 per cent is gained by selling an article for $1, how much would be gained by selling it for $2?

5. A boy had a slate 5 inches by 7 inches. He buys one twice as large. Give the dimensions of the new slate.

6. A man wishes to put up on the front of his lot a fence 30 feet long. If the posts are 6 feet apart, how much will they cost at 25 each?

7. One-half the money received by a newsboy is profit. What per cent does he make?

8. 50 per cent of a number multiplied by 30 per cent of the same number equals 60. What is the number?

9. Three-fourths per cent of a number is 90. What is the number?

10. An importer receives some cases of goods numbered consecutively. How many cases are there, if the number of the first is 28, and of the last 75?

1102. Slate Problems.

1. If a bar of silver weighing 2 lb. 3 oz. 6 pwt. is worth £6 13s. 7d., what is the value in English money of a similar bar weighing 15 lb. 7 oz. 4 pwt.?

2. A quantity of provisions would last a ship's crew 20 days, allowing each man 2 lb. 4 oz. daily. What should each man be allowed so as to make the provisions last 4 days longer?

3. If 40 men are able to do a piece of work in 10 hours, how many extra men must be employed to finish it in 8 hours?

4. If it requires 40 yd. carpet 2 ft. 9 in. wide to cover a floor, how many yards of carpet 2 ft. 6 in. wide would be needed?

5. How long will it take a train to go 112 miles, at the rate of 46 miles in 1 hour 20 min. 30 sec.?

6. Change 1,759 yards to rods, yards, etc.

7. If a beam 5 ft. 6 in. long, 10 in. wide, and 8 in. thick, weighs 924 lb., find the length of another beam of the same. material which weighs 3,024 lb., and whose end is a square foot.

8. A field 110 yd. long and 44 yd. wide contains an acre. What is the area of a field 220 yd. long and 88 yd. wide? Of one 440 yd. long and 176 yd. wide?

9. A ship with a crew of 32 men has provisions that will serve for 45 days, at a daily allowance of 3 lb. for each man. If it then picks up another vessel's crew consisting of 16 men, what must be the daily allowance, to make the provisions last for 40 days?

10. If a steel bar 12 ft. long, 4 in. broad, and 21⁄2 in. thick, weighs 480 lb., what is the weight of another steel bar 18 ft. long, 3 in. broad, and 2 in. thick?

11. If 8 horses eat 13.5 bushels of oats in 9 days, how many days will 15.75 bushels last 14 horses?

12. A person deposits in two banks $750 and $1,200, respectively, at the same rate. The latter sum draws $18 more interest per year than the former. What is the rate per cent?

13. Two men have saved $2,000 each. One has loaned $1,400, at 4%, and the remainder at 5%. What rate must the other man receive for his money in order to get the same interest?

14. I owe $8,625, payable in 3 years 4 months. I have at present $7,500. What rate of interest must I receive to pay my debt at maturity?

15. A person loans of his capital at 5%, and the other half at 4%. He receives annually $40 more interest from the former than from the latter. What is his capital?

16. A certain sum loaned at 4% produces $30 less interest than a sum $400 greater, loaned at 5%. How much is loaned at each rate?

17. A capitalist has placed of his money at 4%, and his remainder at 5%. His income is $2,940 per year. What is his capital?

18. Change 13,576 inches to rods, etc.

19. Three men buy a lot for $600. After selling it A receives $220 as his share of the proceeds, B receives $280, and C $300. How much did each invest originally?

20. D receives of a sum of money, E, and F the remainder. E's share is $90 more than D's. What is the share of F? 21. A man receives $593.70 as the proceeds of his note. 63 days thereafter he pays the bank $600. What rate of interest has the bank charged on the $593.70 loaned?

What is the rate of bank discount on the $600 note?

22. A tank is fed by two pipes, one of which can fill it in 2 hours, and the other in 3 hours. A third pipe can empty it in 1 hour. If, when the tank is full, the supply pipes and the exhaust pipe are all set to work, in what time will it be emptied?

23. What per cent is gained on oranges bought at 20 cents per dozen and sold at the rate of 10 for 25 cents?

EXACT INTEREST.

Exact interest is used by the Government in its calculations. 365 days are taken to the year.

1104. Slate Exercises.

1. Find the exact interest of $280 from April 14 to Sept. 6 at 4%.

4 145 100 365

Time 145 days. Ans. $280 × X

2. Find the exact interest on $76.65 from March 4 to Dec, 15 at 6 per cent.

3. On $384 at 7 per cent for 75 days.

4. On $438 at 5% from Jan. 1 to March 15.
5. On $109.50 at 41% for 87 days.

6. On $847.60 at 5% from April 29 to Sept. 20.

7. On $584 at 33% from May 16 to Dec. 1.

1105. Unless "exact" or "accurate" interest is specified, use 360 days to the year.

MEASUREMENTS.

1. What is the area of a triangle whose sides measure 15, 16, and 17 inches, respectively?

15

16

17

2)48

24-15=9

24-16=8

24-17=7

From the half sum of the three sides subtract each side separately. The square root of the continued product of the half sum and the three remainders will be the

area.

√24 × 9 × 8x7=

√12,096 109.98 sq. in. Ans.

2. Find the area in square feet of a triangle whose sides measure 35 ft., 84 ft., 91 ft.

3. Find the area of a triangle whose sides measure 21, 28, and 35 rods, respectively.

4. In the following field, AB measures

39 rods; BC, 52 rods; CD, 25 rods; AD,

60 rods; and the diagonal, AC, 65 rods. A Find the area of the field in square rods.

5. Find the area of an isosceles tri

B

D

angle whose base is 30 yards, its equal sides measuring 25 yards.

6. What is the altitude of an isosceles triangle, base 96 ft., equal sides 64 ft.? Find its area.

7. Find the area of an equilateral triangle, each side being 6 ft.

8. Find the area of a right-angled triangle, base 42 ft., hypotenuse 70 ft.

9. Find the area of an isosceles triangle, altitude 48 ft., equal sides 50 ft.

10. Place two equilateral triangles, sides 2 inches, base to base, making a rhombus. Find its area, also the length of each diagonal.

11. Find the radius of a circle whose circumference is 132 ft. (3.1416 x diam. circum.)

=

12. Find the area of a circle whose radius is 4 inches. (Area = circumference × diameter.)

13. Find the area of a circle whose radius is x inches.

14. Find the radius of a circle whose area is 314.16 sq. in.

15. Find the area of a circle whose circumference is 15.708 ft.

PARTIAL PAYMENTS.

1108. Merchants' Rule.

BROOKLYN, N.Y., June 19, 1894.

On demand, I promise to pay William R. Budd, or order, Two Thousand Four Hundred Fifty-four 75 Dollars, value received, with interest at 6 per cent.