1. No category

-¨¡-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-öÃ
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