Marking Goods 374. Merchants mark their goods to show the cost and the selling price, usually writing the first above a horizontal line and the second below. To prevent customers from reading the mark and discovering the gain, some private mark is usually adopted. The most usual device employed is some word or words of ten different letters to represent the ten Arabic numerals. are This is called a key. Thus, if the key is "White Sambo," the corresponding letters and figures 375. To avoid repeating a letter and thus giving a clew to the key, an extra letter, called a repeater, is used. wae Thus, if the cost of an article is $1.75 and the selling price $2.99, using the key "White Sambo" with k for the repeater, the mark would be In the exercises, use this key and repeater unless otherwise specified. WRITTEN EXERCISES hbk 376. Interpret the following and find the per cent of gain In the following fill in the selling price at 331% above cost: Fill in the cost mark in each of the following, the given selling price being 20% above cost : Mark articles to sell at 371% above the following costs : 41. How shall a book dealer mark a book that cost $1.20 so that he may give a discount of 16% from the marked price and still make a profit of 40% ? SOLUTION. 140% of $1.20 = $1.68, selling price. Since the selling price is 16% less than the marked price, $1.68 is 84% of the marked price. Then the marked price $1.68.84 = $2. = Mark articles that cost as follows so that there will be a profit of 25% after giving the indicated discount : Find the cost of one article when billed by the dozen as follows, and give complete marks (profit 40%), using the key "birthplace," repeater n, for the cost, and "White Sambo," repeater k, for the selling price: 48. Hats, $21 49. Caps, $15.60 50. Scarfs, $24 51. Neckties, $7.20 52. Shirts, $18 53. Gloves, $16.80 54. Shoes, $30 55. Rubbers, $8.40 SUGGESTION. REVIEW PROBLEMS IN INDUSTRIES When the problems are related to one another, the answer to each should be kept until the series is completed. 377. 1. A salesman bought a mileage book in New York, boarded the 8:30 A.M. Empire State Express, and rode to Buffalo. The next day he returned on the same train, leaving Buffalo at 1:00 P.M. Find his fare both ways at 2¢ per mile. 2. How long did it take him to go to Buffalo? to return? 3. Find the average speed per hour each way. 4. The train left New York with 320 passengers; at Albany 75 got off and 69 got on; at Utica 32 got off and 46 on; at Syracuse 40 got off and 48 on; and at Rochester 55 got off and 21 on. How many passengers went to Buffalo? 5. All passengers paid fare at the rate of 2¢ per mile, except 133 purchasers of regular tickets in New York, who paid $.24 each in addition to the 2¢ per mile. Find the receipts from fares. 6. The parlor car company sold 21 seats to Albany @ $1, 17 to Utica and Syracuse @ $1.50, 38 to Rochester and Buffalo @$2, and the exclusive use of 2 drawing-rooms to Buffalo @ $7. In addition they received 1 ¢ per mile from the railroad company for the rent of the car. Find the total parlor car receipts. 7. Find the pay of the engineers for a trip at 3.5¢ per mile. 8. It takes a steel steamship loaded with wheat 140 hours to go from Chicago to Montreal via the Welland Canal, and 160 hours to make the return trip. Sixty hours are spent in port. How many days does it take for the round trip? 9. The distance between the two ports is 1266 miles. How far does the vessel travel in a season of 13 round trips? 10. A vessel of this type carries, on an average, 75,000 bushels of wheat (60 pounds to the bushel) on each trip to Montreal and 1125 tons of other commodities on the return trip. How many more tons of freight does the vessel carry on a voyage to Montreal than on the return voyage? 11. Find the freight earnings for a season, at 5¢ per bushel "down" and $1 per ton "up. 12. How much more does the vessel earn going down than going up, each time? during the whole season? 13. Find the season's total expenses from the following: Wages and board, $7350 Coal, 230 tons per round trip @ $3 Customs fees, etc., $500 14. Find the profit for the season; for 1 round trip. 15. Going up the St. Lawrence River the freight vessel must pass through canals. Their lengths are as follows: Lachine, 8.5 mi.; Soulanges, 14 mi.; Cornwall, 11 mi.; Farrans Point, Galops, 7.125 mi.; Murray, 5.167 The Welland Canal is 26.75 mi. long. How many miles must the vessel pass through canals to reach Lake Erie? 1 mi.; Rapide Plat, 3.5 mi.; mi. 16. The Welland Canal has 27 locks, giving a total lift from Lake Ontario to Lake Erie of 326.75 feet. Find the average 17. A school rented 4 pianos, at $4.50 per month each, for 10 months in a year. How much was paid for the use of pianos per year? 18. I pay my landlady $10 per month for a room and $4.20 per week for board. How much do room and board cost me per year (365 days)? 19. A man rented a typewriter at $1.25 per week and kept it from the morning of June 2 to the morning of Oct. 27. Find the amount of rent he paid. 20. A man rented a house at $492 per year. After living in it 8 months he sublet it for the rest of the year at $35 per month. How much rent did he pay per month for the first 8 months? How much per month did he lose during the rest of the year? 21. A man rented a farm "on shares," agreeing to give the owner of each crop. He raised 1800 bushels of oats, 2350 bushels of wheat, and 4280 bushels of corn. How much of each crop had he left after paying the rent? 22. A farmer rented 220 acres of land at $5.25 per acre, half to be paid Sept. 1 and half Feb. 1. Find the amount of each payment. 23. A sleeping and parlor car company charges the railroads 14 per car per mile for the use of its cars. Find the rent charged for twelve of these cars between Kansas City and Chicago, a distance of 458 miles. 24. A man secured a lease of a tenement for five years at $2800 a year, agreeing to make all inside repairs. He sublet the premises to 12 families at the following rates per month: $40; $35; $33; $30; $28; $25; $22; $20; $18; $15; $14; $12. Repairs cost $1425, coal $494. He lost $536 from unpaid rents and idle apartments. Find his gain. |