Document 6517266
Transcription
Document 6517266
-¨¡-E¢√®Ωç 22 -ÅéÓd-•®Ω’ 2011 PERCENTAGE ★ Percent means per every 100. ★ 20 percent means 20 out of 100. ★ The symbol % is used to denote percent. e.g.: 5%, 12% etc. ★ A fraction with denominator 100 is called percentage. Converting Percent to fraction: To convert percent into fraction, divide the percent by 100. 25 1 e.g.: 25% = ⎯ = ⎯ 100 4 Converting Fraction to percent: To convert fraction into percent, multiply the fraction by 100. 3 3 e.g.: ⎯ = ⎯ × 100 = 75% 4 4 Increment ★ Increment percent = ⎯⎯ × 100 Source Ñ-Ø√-úø’ £j«-ü¿®√-¶«-ü˛ ★ If an object's value is increased/ decreased by x% and other factor increased/ decreased xy by y%, then the net effect is x + y + ⎯ % 100 [ ] Note: The percentages are taken with positive/ negative sign according as there is increase/decrease in the factor. Some important percents and their fractions 1 2 1 16 ⎯ % = ⎯ 100% = 1 20% = ⎯ 5 3 6 1 2 1 1 40% = ⎯ 33 ⎯ % = ⎯ 50% = ⎯ 2 5 3 3 1 3 2 2 60% = ⎯ 66 ⎯ % = ⎯ 25% = ⎯ 4 5 3 3 4 1 3 80% = ⎯ 37 ⎯ % = ⎯ 12.5% = ⎯ 8 5 2 8 1 1 1 7 10% = ⎯ 87 ⎯ % = ⎯ 6.25% = ⎯ 16 10 2 8 2 5m 40 cm to 4m 50cm. What is the percentage decrement in the length of the table? A) 19.36% B) 16.67% C) 14.72% D) 12.14% E) 18.25% 7. 630 milli litres is what percent of 9 litres? A) 10% B) 15% C) 25% D) 7% E) None of these 8. A man has 15 English books, 17 Hindi books and 18 Telugu books. Find the percentage of Hindi books. A) 17% B) 25% C) 14% D) 34% E) None of these 9. The difference between 82% of a number and 27% of the same number is 385. What is What is the pass percentage? Decrement ★ Decrement percent = ⎯⎯ × 100 Source e.g: Ravi's salary increased from Rs.4000 to Rs.4500. Find the increment percent in his salary. 4500 - 4000 Increment % = ⎯⎯ 4000 500 = ⎯⎯ × 100 = 12.5% 4000 ★ To express one given quantity (x) as a percentage of another given quantity (y) we x have to write ⎯ × 100. y ★ When there are three articles 'a', 'b', and 'c' in a group, then to express any one article as a percentage of the group, then. a ∴ Percentage of 'a' = ⎯⎯ × 100 (a + b + c) ★ When two variables are inversely proportional, If one is 'x' percent more/ less than the second one then the second one is x ⎯⎯ × 100 percent less/ more than 100 ± x the first one. Note: If first one is more use '+' and it is less use '-'. e.g: A's salary is 20% more than B's salary. Find by what percent B's salary is less than A's salary. 20 2 Sol: required % = ⎯⎯ × 100 = 16 ⎯ % 100 + 20 3 EXPLANATIONS 90 ⇒ ⎯ × 100 = 16.67% 540 1. 42% of 12450 42 ⇒⎯ × 12450 = 5229 100 2. 38% of ? = 1615 38 100 ⇒ ⎯ × ? = 1615 100 ⇒? = 1615 × ⎯ = 4250 38 3. 8% of 360 = ? % of 480 8 100 43% of that number? A) 385 B) 301 C) 528 D) 321 E) None of these 10. Production of a company increases 6% per year. If it is Rs.1225000 in 2009, what will be its production NUMERICAL ABILITY in 2011? 3 5 G.S.GIRIDHAR A) Rs. 13,25,750.00 125% = ⎯ 75% = ⎯ 4 4 B) Rs. 13,76,410.00 3 C) Rs. 12,63,525.20 e.g: 37.5% of 568 = ⎯ × 568 = 213. 8 D) Rs.13,35,500.50 E) None of these EXERCISE 11. The length of the rectangle is doubled and Directions (Q.1-5): What should come in place the breadth is halved. What is the percentof question mark (?) in the following questions. age change in the area? 1. 42% of 12450 = ? A) 10% B) 15% C) 25% A) 5129 B) 5436 C) 3268 D) 5229 D) No change E) None of these E) None of these 12. A trader sells 35% of pens and still has 520 2. 38% of ? = 1615 pens with him. Find the number of pens he A) 4250 B) 4200 C) 6200 D) 4550 had originally. E) None of these A) 800 B) 1200 C) 600 D) 700 E) None 3. 8% of 360 = ? % of 480 13. A man spends 12% of his monthly income on entertainment, 18% of his monthly A) 5 B) 6 C) 8 D) 9 income on children's education, 50% of his E) None of these monthly income on other house-hold items 4. 68% of 5950 - 42% of 3720 = ? and the remaining amount of Rs.5200 he A) 2483.6 B) 2142.4 C) 2478.9 D) 2130.14 saves. What is his monthly income? E) None of these A) Rs.25400 B) Rs.26500 5. 38% of (?)= 1463.76 C) Rs.24500 D) Rs.27300 A) 3812 B) 3424 C) 3852 D) 3421 E) None of these E) None of these 14. If two numbers are respectively 20% and 6. A man reduced the length of the table from 50% more than a third number, what per- ? 100 ⇒ ⎯ × 360 = ⎯ × 480 8 × 360 ⇒? = ⎯ = 6 480 4. 68% of 5950 - 42% of 3720 68 42 100 100 ⇒ ⎯ × 5950 - ⎯ × 3720 ⇒ 4046 - 1562.4 = 2483.6 5. 38% of ? = 1463.76 38 ⇒ ⎯ × ? = 1463.76 100 100 ⇒ ?= 1463.76 × ⎯ = 3852 38 540 - 450 6. Decrement % = ⎯ × 100 540 630 7. ⎯ × 100 = 7% 9000 17 8. Required % = ⎯⎯ × 100 = 34% 15 + 17 + 18 9. Difference between 82% and 27% is 55% if 55% value is 385, then 43% value is 43 ⎯ × 385 = 301 55 10. Production after 2 years (2011 - 2009) will be 106% of 106% of 1225000 106 106 100 100 11. Let the length be 10 breadth also be 10 ⇒ ⎯ × ⎯ × 1225000= 1376410 ∴ Area is 10 × 10 = 100 New length = 20 (doubled) and new breadth is 5(halved) ∴ New area is 20 × 5 = 100 ∴ No change in the area. 12. By selling 35% pens 65% is remaining ∴ 65% = 520 If 65% is 520, then 100% 100 (total) pens is ⎯ × 520 = 800 65 13. Total expenses = 12% + 18% + 50% = 80% Remaining percent is 100% - 80% = 20% centage is the first of the second? A) 15% B) 20% C) 14% D) 80% E) None of these 15. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 8500, the number of valid votes that the other candidate got wasA) 3375 B) 2700 C) 3060 D) 2100 E) None of these 16. In an examination it is required to get 318 of the aggregate marks to pass. A student gets 288 marks and is declared failed by 5% marks. What are the maximum aggregate marks a student can get? A) 360 B) 600 C) 800 D) 400 E) 0one of these 17. In a cricket match, a batsman scored 125 runs which included 11 boundaries and 6 sixes. What percent of his total score did he make by running between the wickets? A) 40% B) 35% C) 25% D) 12% E) None of these 18. In order to increase the total revenue, a trader announced 20% discount. As a result, the sales volume increased by 25%. What is the net effect on the sales revenue? A) 5% decrease B) 15% increase C) 10% increase D) 20%decrease E) None of these 19. If the petrol rates are increased by 20%, find by what percent a consumer has to reduce his consumption so that there is no change in his expenditure on petrol. 2% A) 20% B) 15% C) 16 ⎯ 3 D) 25% E) None of these 20. In an examination, 63% students passed in English, 65% students passed Mathematics and 27% students failed in both the subjects. What is the pass percentage? A) 55% B) 35% C) 25% D) 45% E) None of these. ANSWERS: 1) D 2) A 3) B 4) A 5) C 6) B 7) D 8) D 9) B 10) B 11) D 12) A 13) E 14) D 15) C 16) B 17) E 18) E 19) C 20) A. (®Ω-·-ûª £j«-ü¿®√-¶«-ü˛-™-E Í®Æˇ -É-Ø˛Æœd-ô÷u-ö¸ -úÁjÈ®éπd®˝) ∴ No change. Savings = Rs.5200 ∴ 20% = 5200 100 100%(Total) money is ⎯ × 5200 = Rs.26000 20 14. Let the third number be 100 ∴ first number will be 120 and second number will be 150 20 2 19. Required %= ⎯ × 100 = 16 ⎯ % 120 3 20. English failed % = 100 - 63 = 37% Maths failed % = 100 - 65 = 35% Failed in one or two subjects is 37 + 35 - 27 = 45% ∴ Pass.% = 100 - 45 = 55% 120 150 ∴ required percentage is ⎯ × 100= 80% 15. Number of valid votes is 80% of 8500 = 6800 votes received by second candidate is 45% of 6800 45 ⇒ ⎯ × 6800 = 3060 100 16. Marks required to pass = 318 - 288 = 30 percentage marks required to pass = 5% 5% marks = 30 100 5 17. Runs made by running between the wickets is 125 - (11 × 4 + 6 × 6) = 125 - 80 = 45 45 ∴ Required % = ⎯ × 100 = 36% 125 20 × 25 18. Net effect is -20 + 25 - ⎯ % = 0% 100 ∴100% (Total) marks is ⎯ × 30 = 600 [ ] - -áÆˇÍé ´-Jq-öà -¢√é˙–-É-Ø˛-©’ -Å-†ç-ûª°æ¤®Ωç-™-E -X-éπ%-≠æg -üË-´®√-ߪ’ -ߪ‚-E-´-Jq-öà öÃ*çí˚ -§∂ƒuéπ-Md, -™«u-¶¸ -ÅÆœÂÆdç-ö¸ -§ÚÆæ’d-©èπ◊ -ÅéÓd-•®Ω’ 30- † -¢√é˙–-É-Ø˛-©’ -E®Ωy£œ«-≤Úhç-C. -§ÚÆæ’d-©’: 1)- -öÃ-*çí˚ -§∂ƒuéπ-Md 2) -™«u-¶¸ -ÅÆœÂÆdç-ö¸q -Å-ú˛£æ…é˙ -¶‰ÆœÆˇÂ°j -H-õ„é˙ éÓ®Ω’q-© -E®Ωy£æ«-ù -E-N’-ûªhç O-J-E -BÆæ’èπ◊ç-ö«®Ω’. -N-üΔu®Ω|-ûª-©’, -@-ûª-¶μº-û√u-©’, -J-ïÍ®y-≠æ-†’x, -§ÚÆæ’d-©’ ûªCûª®Ω -N-´®√-©èπ◊ -¢Á-¶¸ÂÆj-ö¸ -îª÷-úø-´-a.*®Ω’-Ø√-´÷: Sri Krishna Devaraya University, Anantapur - 515055 (A.P.) -¢Á-¶¸ÂÆj-ö¸: www.skucet.org