PERCENTAGE. (Continued from page 126.) 220. PROBLEMS IN CASE III. SOMEWHAT DISGUISED. EXAMPLE NO. 1. 75 is how many % more than 60 ? 75 is 15 more than 60; so the percentage part of this problem is, 15 is what % of 60? Ans. 25 %. Therefore 75 is 25 % more than 60; that is, 75 is 25 hundredths of 60 more than 60. EXAMPLE No. 2. 60 is how many % less than 75? 60 is 15 less than 75; so the percentage part of this problem is, 15 is what % of 75? Ans. 20 %. Therefore 60 is 20 % less than 75; that is, 60 is 20 hundredths of 75 less than 75. Observe that in example No. 1, 60 is the base, and that in example No. 2, 75 is the base; and that in problems of this kind the base. always follows the word than. PROBLEMS. 1. 60 is how many per cent more than 45? 3. 150 is how many per cent more than 125? 5. 225 is how many per cent more than 200? 7. James has $345; Peter has $414. Peter has how many per cent more than James?* James has how many per cent less than Peter? † * James's money is the base. + Peter's money is the base. 1. Bought for 25¢ and sold for 30¢. 2. Bought for 25¢ and sold for 234. 3. Bought for 254 and sold for 274. 4. Bought for 25¢ and sold for 214. 5. Bought for $40 and sold for $48. 6. Bought for $40 and sold for $35. 7. Bought for $40 and sold for $52. 8. Bought for $40 and sold for $36. 9. Sold for 65¢ that which cost 50¢. 10. Sold for 18¢ that which cost 204. 11. Sold for 304 that which cost 364. 12. Sold for 354 that which cost 304. 13. Sold for $50 that which cost $40. 14. Sold for $40 that which cost $50. 15. Sold for $30 that which cost $40. 16. Sold for $40 that which cost $30. 17. Mr. Watson bought 60 lbs. of tea at 324 a pou sold it at 50¢. What was his per cent of gain if he many pounds as he bought? If he lost 4 lb. by weights" and wastage, how much money did he What was his real per cent of gain? 18. Mr. Jenkins bought gloves at $4.50 per doz sold them at 50¢ a pair. What was his per cent of g 19. Mr. Warner bought apples at 40¢ a bushel. 25% of them by decay and sold the remainder at bushel. Did he gain or lose by the transaction? was his per cent of gain or loss? Percentage. 222. PERCENtage ProblEMS UNDER CASE I, IN WHICH THE PER CENT IS MORE THAN 100. Find 175% (17% or 1.75) of $632.60. 1. Find 175% of 356; of 276; of 540.20 2. Find 155% of 356; 7. Find 250% of 356; of 276; of 540.20 of 540.20 of 276; (a) Find the sum of the twenty-one results. 8. David's money is equal to 150% of Henry's money. Henry has $240. How much has David? 9. If goods cost $260, and the profit on them is 125%, what is the selling price? 10. If a Chicago lot at the beginning of a certain year was worth $8000 and during the year increased in value 50%, what was it worth at the end of the year? What would it have been worth at the end of the year had it increased 250% ? Percentage. 223. PERCENTAGE PROBLEMS UNDER CASE II, IN WHICH THE PER CENT IS MORE THAN 100. $1107.05 is 175% of how much money? Percentage. 224. PERCENTAGE PROBLEMS UNDER CASE III, IN WHICH THE PER CENT IS MORE THAN 100. $1107.05 is what per cent of $632.60? * 63 NOTE.-The above problem may be solved as a similar problem is solved on page 125, Operation No. 1. $1107.05 is 110705 of $632.60. Perform the division indicated carrying out to hundredths only. The quotient will be 1.75 or 178 = 175%. PROBLEMS. 1. What per cent of 845 is 2112.5? (a) Find the sum of the 5 answers. Bernie's money 6. Reuben has $2420; Bernie has $4961. equals how many per cent (hundredths) of Reuben's money? 7. A certain house cost $6425. The lot upon which it stands cost $2325. (a) The cost of the house equals how many per cent (hundredths) of the cost of the lot? (b) The cost of the lot equals how many per cent (hundredths) of the cost of the house? * See "Operation and Explanation, No. 4," page 125. |