Table Showing Value of Foreign Coins in United States Gold Dollar

NOTE.-These values may vary slightly at any time.

5. Berlin, payable in 90 days, for $75.10?

6. Paris, payable at sight, for $125?

7. B bought a draft on London for £842. What did it cost if exchange was 4.83?

8. An agent in Boston having $7536.30 due his employer in England, is directed to remit by draft on Liverpool. What is the face of the draft, if exchange is 4.914?

MISCELLANEOUS PROBLEMS

1. Divide $870 among A, B, and C, so that B shall get $10 more than C, and A $56 more than B.

2. A dealer bought a carload of produce; the price first declined 12%, then advanced 16%, when he sold. What per cent did he gain?

3. An agent receives $5616 to invest in silk; reserving his commission, 4% of amount invested, how many yards of silk can he buy at $1.50 per yard?

4. If the duty on woolen goods is 20¢ per yard and 40% ad valorem, what must an importer pay on 5000 yards of woolen goods invoiced at 75¢ per yard?

5. The difference between two numbers is 8, and if 7 be added to the less, the sum will be 90% of the greater. What are the numbers?

6. If 16 men can excavate a cellar 48 ft. long, 36 ft. wide, and 8 ft. deep in 12 days of 8 hr. each, in how many days of 10 hr. each can 8 men excavate a cellar 30 ft. long, 27 ft. wide, and 16 ft. deep?

7. Divide by ; give analysis, and deduce the rule for dividing one fraction by another.

8. Which is better, $1000 with 40% off, or $1000 with discounts 25%, 10%, and 71% off? How much better?

9. What per cent does B gain who buys goods on 6 mo. time, and sells immediately for cash at cost, money being worth 7%?

10. At what time between 5 and 6 o'clock are the hour and minute hands of a watch exactly together?

11. A man bought a home and gave in payment his note for $9282, with interest at 10%. What sum paid annually will discharge principal and interest at the end of 4 years?

SOLUTION:

1. Each payment must discharge the interest for one year and a part of the principal.

2. Each succeeding payment must discharge 10% more of the principal than the preceding. Therefore,

12. A merchant gives his note, 10% from date, for $2442.04: what sum paid annually will have discharged the whole at the end of 5 yr.?

13. The divisor is 6 times the quotient; of the quotient is ; find the dividend.

14. What must I pay for 4% stock to get 5% on the investment?

15. Find the number of square yards in a concrete walk 10 feet wide surrounding a rectangular block, the total outside measurement of the walk being 1800 feet.

16. Miss Willard sold her house and lot for $5000, receiving as much for the house as for the lot; on the lot she gained 4%, and on the house she lost 4%; what was the gain or loss?

17. What is the sum of the first ten terms of an arithmetical series whose 3d term is 12 and 9th term is 42?

18. Insert 3 arithmetical means between 6 and 36.

19. If a piece of silk cost 72 cents per yard, at what price should it be marked so that the merchant may sell it at 10% less than the marked price, and still make 25%? Verify result.

20. A merchant has a false yd. stick, 2 in. too short. What is the value of the cloth he sells for $72.36?

SOLUTION:

Since the true result is such a part of the false result as the false unit of measure is of the true unit of measure, we have the following proportion :

True result: false result:: false unit: true unit.

Substituting in the formula,

The true value: $72.36 :: 34:36.

21. A grocer has a false balance which gives 141⁄2 oz. to the pound: what does he gain by the cheat in selling sugar for $258.56?

22. An agent remits $407.15 after deducting 3% brokerage and 25¢ for a draft: find his brokerage.

23. A man owns a farm, mortgaged for of its cost; if

he were to sell it for $6000, which would be at an advance of 25% above its cost, how much would remain after paying the mortgage?

24. A has 7 loaves of bread, B 5, and C none. The three eat all the bread, each the same amount; C pays to A and B, 124: what should each receive?

25. A borrows from B a sum of money and agrees to pay him by three annual payments of $200 each. If money is worth 5% per annum, compound interest, find the sum borrowed.

26. When a Fahrenheit thermometer stands at 68 degrees, what is the reading of a Centigrade thermometer? 27. Show that 2034 45410

=

28. A tub of butter seems to weigh 36 pounds in one scale pan and 25 pounds in the other. What is its true weight?

29. A man bought a farm for $4500, and agreed to pay principal and interest in 4 equal annual installments. How much was the annual payment, interest being 6%?

30. If 3 cats catch 3 rats in 3 minutes, how long will it take 100 cats to catch 100 rats?

31. Mary is 24 years old. Mary is twice as old as Ann was when Mary was as old as Ann is now. How old is Ann?

32. If of the time past noon is equal to of the time past midnight, what is the hour?

33. A agrees to work for $2 a day and to forfeit $1 for every day he is idle. At the end of 20 days he receives $25. How many days was he idle?