Percentage. 222. PERCENTAGE PROBLEMS UNDER CASE I, IN WHICH THE PER CENT IS MORE THAN 100. Find 175% (11% or 1.75) of $632.60. 175% = 178 = 1. 1 of $632.60 = $158.15. of $632.60 7 times $158.15 or $1107.05. = PROBLEMS. of 276; of 540.20 of 276; of 540.20 of 540.20 1. Find 175% of 356; of 276; of 540.20 of 276; of 540.20 (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 $1107.05 is what per cent of $632.60? * 632 NOTE.-The above problem may be solved as a similar problem is solved on page 125, Operation No. 1. $1107.05 is 1107.08 of $632.60. Perform the division indicated carrying out to hundredths only. The quotient will be 1.75 or 138 = 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. Percentage. 225. MISCELLANEOUS PROBLEMS. 1. Find %* of 632; of 356; of 272. (a) Find the sum of the nine results. 4. Find 3% of 496; of 532; of 720. 7. What part of 94 is 11? 10. 15 is 3% 11. 24 is 3% What per cent? of what number? 4%? 5% ? 12. 42 is 3% of what number? 4%? 5%? (d) Find the sum of the nine answers. 13. 375 is 125 % 14. 436 is 109% 15. 598 is 115 % (18%) of what number? (18%) of what number? (e) Find the sum of the three answers. 16. 544 is 15% less than what number? § (f) Find the sum of the three answers. *This means of 1 per cent. This means find 25 hundredths of 1 per cent. Answer with a common fraction in its lowest terms. § If it is 15 per cent less than the number it is 85 per cent of the number. Algebra. 226. TO FIND TWO NUMBERS WHEN THEIR SUM AND DIFFERENCE ARE GIVEN. 1. The difference of two numbers is 4 and their sum is 20. What are the numbers? Let then x= the smaller number, x+4= the larger number, and x + x + 4 = 20. Transposing x + x = 20 - 4. Uniting 2 x = 16. x = 8, the smaller number x+4= 12, the larger number. 2. The difference of two numbers is 9 and their sum is 119. What are the numbers? 0 3. The difference of two fractions is and their sum is What are the fractions? 4. The difference of two numbers is d and their sum is s. What are the numbers? Observe that any number you please may be put in the place of s ; and any number less than s, in the place of d: so when the sum and the difference of two numbers are given the smaller number may be found by subtracting the difference from the sum and dividing the remainder by 2. 5. The difference of two numbers is 327, and their sum is 1159. What are the numbers? |