Percentage
Percentage
Percentage
PERCENTAGE
PERCENTAGE
Percentage in mathematics, means to convert a given fraction to a
denominator of 100.
It is often denoted using the percent sign, "%".
For example, 45% (read as "forty-five percent") is equal to
x
100%.
(100 x )
5: If the price of sugar is increased by 25%,
find how much percent a family must reduce their consum- ption
of sugar so as not to increase the expenditure of the family?
Sol. Reduction in consumption of sugar
45
= 0.45
100
45%
25
100 %
100 25
25 100
% = 20%
125
3
into percent
5
10
100 %
100 10
fraction.
3
Sol.
5
10
100 % = 11.11%
90
3
100 % = 60%
5
2 : Convert the fraction
3.5
into percent
100
fraction
3.5
Sol.
100
3.5 100
% = 3.5%
100
x
100 % lesser than A.
100 x
x
100 % greater than A.
100 x
60
100
3
5
60
100
0.60
30
100 %
100 30
30
100 %
70
42
6
%
7
50
1
100 % = 33 %
100 50
3
2
If price of a commodity is decreased by x %, the
consumption can be increased, so that the expense remains
the same,
by
x
100 %
100 x
a b
100
consumption (b)
40x 80
100 100
20b
100
120b
100
20b
100
10, 000
PN
10
R1
100
P0 1
10 100
= 8.33
120
PN
R2
...................
100
10
xi
10, 000
10
10 20
80
100
10, 000
60x
100
20
100
10
100
8
100
= 1782000
Students should remember that commutative property is
applicable in percentage also.
So, x% of y = y % of x.
So, if you are required to 12% of 50, then it would be easier to
find 50% of 12, which is 6.
= Remaining amount.
Facts to Remember
Fractional Equivalents of Important Percentages
1%
1
100
2%
1
50
4%
1
25
5%
1
20
10%
1
10
20%
1
5
40%
1
4
1
37 %
2
2
66 %
3
1
1
6 %
4
16
1
12 %
2
1
8
25%
1
1
8 %
3
12
2
16 %
3
1
6
1
33 %
3
1
3
8%
2
25
16%
4
25
64%
16
25
96%
2
5
60%
3
5
80%
4
5
120%
3
8
50%
1
2
1
87 %
2
7
8
2
3
1
83 %
3
1
133 %
3
4
2
166 %
3
3
5
6
24
25
6
5
100% 1
5
3
S O LV E D E X A M P L E S
1: 88% of 900 (?)2 = 623
(a) 69
(b) 121
(c) 13
(d) 169
(e) None of these
Sol. (c)
900 88
623
100
= 792 623 = 169
(?)2
(b) ` 28990
(d) ` 23980.50
89856 100
= 345600
26
? = 169 = 13
2 : In an annual examination Harish scores a total
of 421 marks out of 675. What is his approximate percentage in
the annual examination ?
(a) 56
(b) 72
(c) 92
(d) 88
(e) 62
Sol. (e) Percentage of marks obtained by Harish
=
421
100
675
62.4
62
54 100
8
675
Alternatively,
Total aggregate marks
Difference in marks100
% by which the candidate scores less / more
54100
8
675
65
Total votes = 520
100
Total votes =
520 100
= 800
65
` 10,000
(b) ` 18,000
` 12,500
(d) ` 12,000
None of these
Surjeet's salary = 80% of 15000
80
100
` 12000
(b) 722
(d) 912
1064 100 38
56
100
= 189000 1
8
100
5
100
92 105
182574
100 100
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345600
= ` 28800
12
= 15000
number ?
(a) 666
(c) 856
(e) None of these
722
4
According to the question,
(a)
(c)
x 400% of x
y 500% of y
10
. What was the original fraction?
21
5
12
8
(b)
13
17
14
(d)
or
5x
6y
4
7
or
500
100
600
y
100
x
x
y
x
or y
10
21
10
21
10
21
10 6
21 5
4
7
EXERCISE
1.
2.
4
. What was the original fraction?
7
4
7
15
4
(e) None of these
(c)
3.
4.
5.
(b)
12
7
(d)
6
5
2
rd of 630?
3
(b) 52.5
(d) 68.5
(a) 36.5
(c) 45.5
(e) None of these
Shilpa spent 8% on school fees, 25% on rent and 17% on
furniture. 25% of the remaining amount was spent on medical
bills and the remaining ` 6,000 was set aside for investment.
How much money did she spend on rent ?
(a) ` 3,750
(b) ` 6,000
(c) ` 4,000
(d) ` 3,250
(e) None of these
The difference between 89% of a number and 73% of the
same number is 448. What is 49% of that number ?
(a) 1426
(b) 1372
(c) 1218
(d) 1124
(e) None of these
6.
75% of 740 of
3
5
(a) 121
(b) 91
(c) 555
(d) 333
(e) None of these
7. If the production of a factory grows at a 8% p.a., what will be
its production for the year 2006 if its production in 2004 was
70 lakh tonnes?
(a) 63.48 lakh tonnes
(b) 81.68 lakh tonnes
(c) 81 lakh tonnes
(d) 80.68 lakh tonnes
(e) None of these
8. The difference between 58% of a number and 39% of the
same number is 247. What is 62% of that number ?
(a) 1,300
(b) 806
(c) 754
(d) 1,170
(e) None of these
9. What is 240 per cent of 700?
(a) 1650
(b) 1780
(c) 1560
(d) 1710
(e) None of these
10. 15% of 6500 = ? % of 12500
(a) 8.2
(b) 7.5
(c) 6.3
(d) 7.8
(e) None of these
11. The population of a town is 126800. It increases by 15% in
the 1st year and decreases by 20% in the 2nd year. What is
the population of the town at the end of 2 years?
(a) 174984
(b) 135996
(c) 116656
(d) 145820
(e) None of these
12. 8926 ? % of 650 = 8848
(a) 15
(b) 8
(c) 12
(d) 10
(e) None of these
5
13. 52% of 666 + ? = 500
(a) 138.53
(b) 168.46
(c) 144.54
(d) 153.68
(e) None of these
14. The difference between 75% of a number and 20% of the
same number is 378.4. What is 40% of that number ?
(a) 275.2
(b) 274
(c) 267.2
(d) 266
(e) None of these
15. If the numerator of a fraction is increased by 200% and the
denominator of the fraction is increased by 150%, the
9
resultant fraction is . What is the original fraction?
35
3
2
(b)
(a)
10
15
16.
17.
18.
19.
20.
21.
10
th of 6100?
13
(a) 617
(b) 681
(c) 706
(d) 734
(e) None of these
23. One-eighth of a number is 17.25. What will 73% of the number
be ?
(a) 100.74
(b) 138.00
(c) 96.42
(d) 82.66
(e) None of these
24. 45% of a number is 255.6. What is 25% of that number?
(a) 162
(b) 132
(c) 152
(d) 142
(e) None of these
25.
The
difference between 42% and 28% of a number is 210.
3
2
(c)
(d)
What is 59% of that number?
16
7
(a) 630
(b) 885
(e) None of these
(c) 420
(d) 900
40% of 15% of 3/4th of a number is 153. What is the number?
(e) None of these
(a) 3400
(b) 3650
26.
In
an examination it is required to get 40% of the aggregate
(c) 3600
(d) 3200
marks to pass. A student gets 261 marks and is declared
(e) None of these
failed by 4% marks. What are the maximum aggregate marks
680% of (?) = 290360
a student can get?
(a) 43800
(b) 42700
(a) 700
(b) 730
(c) 41900
(d) 42500
(c) 745
(d) 765
(e) None of these
(e) None of these
920 ? % of 7.5 = 2898
27. The difference between 58% of a number and 39% of the
(a) 42
(b) 36
same number is 247. What is 82% of that number ?
(c) 45
(d) 48
(a) 1300
(b) 1066
(e) None of these
(c) 1052
(d) 1000
The difference between 42% of a number and 35% of the
(e) None of these
same number is 110.6. What is 60% of that number?
28. 56% of a number is 463.68. What is 25% of that number?
(a) 936
(b) 948
(a) 202
(b) 204
(c) 790
(d) 1106
(c) 206
(d) 208
(e) None of these
(e) None of these
If the numerator of a fraction is increased by 250% and the
29. Manish invests ` 3,818, which is 20% of his monthly income,
denominator is increased by 300%, the resultant fraction
in insurance policies. What is his monthly income?
7
(a) `19090
(b) `19900
is . What is the original fraction ?
9
(c) `19990
(d) `19009
(e) None of these
7
8
(a)
(b)
30. There are 1556 employees in an organization. Out of these,
8
11
25% got transferred to different places. How many such
8
7
employees got the transfer?
(c)
(d)
9
11
(a) 394
(b) 404
(e) None of these
(c) 419
(d) 399
The wheat sold by a grocer contained 10% low quality wheat.
(e) None of these
What quantity of good quality wheat should be added to
31. In an examination Nisha scores a total of 555 marks out of
150 kgs of wheat so that the percentage of low quality wheat
850. What is her approximate percentage in the examination?
becomes 5%?
(a) 59
(b) 72
(a) ` 150kg
(b) ` 135kg
(c) ` 50kg
(d) ` 85kg
(c) 68
(d) 65
(e) None of these
(e) 70
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6
32. What is the value of 280% of 460?
(a) 1188
(b) 1284
(c) 1288
(d) 1280
(e) None of these
33. A student scores 64% marks in 6 papers of 150 marks each.
He scores 25% of his total obtained marks in Hindi and
English together. How much is his total score for both these
papers?
(a) 120
(b) 124
(c) 140
(d) 144
(e) 150
34. Sumit obtained a total of 1012 marks out of 1150 in an
examination. What is his percentage in the examination?
(a) 86
(b) 88
(c) 84
(d) 90
(e) None of these
35. 570 % of ? = 377910
(a) 64900
(b) 66300
(c) 64100
(d) 65600
(e) None of these
36. The population of a town is 198000. It increases by 7% in the
1st year and decreases by 5% in the 2nd year. What is the
population of the town at the end of 2 years?
(a) 211860
(b) 201267
(c) 222453
(d) 198900
(e) None of these
37. The difference between 38% of a number and 24% of the
same number is 135.10. What is 40% of that number?
(a) 394
(b) 370
(c) 378
(d) 386
(e) None of these
38. The total number of boys in a school is 24% more than the
total number of girls in the school. What is the respective
ratio of the total number of boys to the total number of girls
in the school?
(a) 25 : 31
(b) 31 : 25
(c) 91 : 21
(d) Cannot be determined
(e) None of these
39. In an examination it is required to get 296 of the total maximum
aggregate marks to pass. A student gets 259 marks and is
declared failed. The difference of marks obtained by the
student and that required to pass is 5%. What are the
maximum aggregate marks a student can get?
(a) 690
(b) 780
(c) 740
(d) Cannot be determined
(e) None of these
40. What is the value of 150% of 3342 \
(a) 4869
(b) 5013
(c) 5163
(d) 5019
(e) None of these
41. There are 1850 employees in an organization. Out of these
38% got transferred to different places. How many such
employees got the transfer?
(a) 740
(b) 723
(c) 703
(d) 717
(e) None of these
(a)
7
15
(b)
2
5
(c)
8
15
(d)
5
7
7
52. (18% of 250 + 25% of 144) of ? = 54
(a)
2
3
(b)
3
2
(c)
4
9
(d)
1
3
55.
56.
57.
58.
59.
60.
61.
60% of 8
1
4
6
= 15 - ?
5
(a) 5.55
(b) 6.27
(c) 8.85
(d) 6.13
(e) None of these
35% of 160 + ?% of 180 = 50% of 310
(a) 35
(b) 55
(c) 65
(d) 45
(e) None of these
137% of 12345 ?
(a) 17000
(b) 15000
(c) 1500
(d) 14300
(e) 900
(8.2% of 365) (1.75% of 108) = ?
(a) 16.02
(b) 28.04
(c) 42.34
(d) 53.76
(e) None of these
(739% of 383) 628 ?
(a) 10.00
(b) 4.50
(c) 15.75
(d) 19.25
(e) 24.15
94.5% of 550 = ?
(a) 506.45
(b) 521.65
(c) 518.55
(d) 519.75
(e) None of these
63.
64.
65.
66.
67.
68.
69.
7
of 248 + 20% of 110 = ?
8
(a) 192
(b) 202
(c) 212
(d) 239
(e) None of these
62. Bovina spent ` 44,668 on her air tickets, ` 56,732 on buying
gifts for the family members and the remaining 22% of the
total amount she had as cash with her. What was the total
amount?
(a) ` 28]600
(b) ` 1]30]000
(c) ` 1]01]400
(d) ` 33]800
(e) None of these
70.
71.
72.
(a) `30,000
(b) `16,000
(c) `20,000
(d) `12,000
(e) None of these
If the numerator of certain fraction is increased by 200%
and the denominator is increased by 150% the new fraction
thus formed is
9
. What is the original fraction?
10
3
4
(b)
(a)
80.
81.
1
4
3
2
(d)
5
5
(e) None of these
Yesterday Priti typed an essay of 5000 words at the speed of
60 words per minute. Today she typed the same essay faster
and her speed was 15% more than yesterday. What is the
approximate difference in the time she took to type yesterday
and the time she took to type today?
(a) 20 minutes
(b) 30 minutes
(c) 10 minutes
(d) 40 minutes
(e) 1 hour
71% of a number is more than its 46% by 120. What is 30%
of that number?
(a) 160
(b) 150
(c) 140
(d) 148
(e) None of these
Latika spends 45% of her monthly income on food and 30%
of the monthly income on transport. Remaining amount
`4500 She saves. What is her monthly income?
(a) `16000
(b) `18000
(c) `16500
(d) `18500
(e) None of these
Last year there were 610 boys in a school. The number
decreased by 20 percent this year. How many girls are there
in the school if the number of girls is 175 percent of the total
number of boys in the school this year ?
(a) 854
(b) 848
(c) 798
(d) 782
(e) None of these
Aryan got 350 marks and Vidya scored 76 percent marks in
the same test. If Vidya scored 296 marks more than Aryan
what were the maximum marks of the test ?
(a) 650
(b) 900
(c) 850
(d) 950
(e) None of these
A student was awarded certain marks in an examination.
However, after reevaluation, his marks were reduced by
40% of the marks that were originally awarded to him so that
the new score now became 96. How many marks did the
student lose after reevaluation?
(a) 58
(b) 68
(c) 63
(d) 56
(e) 64
855 candidates applied for a job, out of which 80% of the
candidates were rejected. How many candidates were
selected for the job?
(a) 684
(b) 151
(c) 676
(d) 179
(e) None of these
(c)
73.
74.
75.
76.
77.
78.
79.
82.
83.
84.
(c)
85.
86.
87.
2
th by 140. What is 30%
5
of that number ?
(a) 186
(b) 168
(c) 164
(d) 182
(e) None of these
Sonali invests 15% of her monthly salary in insurance
policies. She spends 55% of her monthly salary in shopping
and on household expenses. She saves the remaining
amount of `12,750. What is Sonali's monthly income?
(a) `42,500
(b) `38,800
(c) `40,000
(d) `35,500
(e) None of these
9
88.
89.
90.
91.
92.
93.
94.
95.
10
Answe r Ke y
1
(b)
19
(b)
37
(d)
55
(c)
73
(c)
91
(c)
(b)
20
(c)
38
(b)
56
(b)
74
(e)
92
(c)
(b)
21
(a)
39
(c)
57
(a)
75
(b)
93
(b)
(c)
22
(e)
40
(b)
58
(b)
76
(a)
94
(a)
(e)
(b)
23
(a)
41
(c)
59
(b)
77
(c)
95
(d)
24
(d)
42
(e)
60
(d)
78
(e)
96
(d)
7
8
(e)
(b)
25
26
(b)
(e)
43
44
(a)
(e)
61
62
(d)
(b)
79
80
(e)
(c)
97
98
(c)
(b)
(e)
27
(b)
45
(b)
63
(d)
81
(d)
99
(b)
10
(d)
28
(e)
46
(c)
64
(b)
82
(a)
100
(e)
11
(c)
29
(a)
47
(a)
65
(b)
83
(e)
101
(b)
12
(c)
30
(e)
48
(c)
66
(e)
84
(e)
13
(d)
31
(d)
49
(a)
67
(d)
85
(e)
14
(a)
32
(c)
50
(c)
68
(a)
86
(b)
15
(e)
33
(d)
51
(b)
69
(e)
87
(a)
16
(a)
34
(b)
52
(a)
70
(e)
88
(a)
17
(b)
35
(b)
53
(c)
71
(c)
89
(e)
18
(a)
36
(b)
54
(e)
72
(a)
90
(b)
2.
Then,
x 5x
y 3y
6x
4y
x
y
3.
4.
490
5.
Number =
4
7
12
7
50 x 75
100 100
x
25
100
75
100
3
= 333
5
(d) 740
= 70 1
2
25
8
100
lakh tonnes
27 27
81.648 lakh tonnes
25 25
(b) Accoring to the question,
(58 39)% of number = 247
= 70
6000
8.
6000
or, number =
2800
2800 49
1372
100
6.
25 50 2
630
100 100 3
= 52.5
(c) Let the income of Shilpa be = `x
8 25 17 x
100
448 100
16
49% of 2800 =
(b)
(b)
x
.
y
18
7
72
42
25
= `4000
100
(89 73)% of the number = 448
247 100
19
1300
62
806
62% of 1300 = 1300
100
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lakh tonnes
11
9.
240
= 700
100
1680
680
100
290360 100
680
or ? =
10. (d)
15
6500
100
?
?
12500
100
18. (a)
15 6500
=7.8
12500
15
100
20
100
?
650 = 8926 8848 = 78
100
78 100
=12
650
7x
8y
378.4 100
55
40% of number
x 2x
y 1.5 y
16. (a)
7
9
x
y
7 8
9 7
8
9
150 10
= 15 kg.
100
Suppose that x kgs of good quality wheat is mixed.
200
x
x
100
150
y
y
100
x
y
7
9
x
y
3x
2.5 y
948
378.4 100 40
=
= 275.2
55
100
1580 60
100
Number
1580
x
20. (c) Let the original fraction be = y
52
? 500
13. (d) 666
100
? = 500 346.32 = 153.68
14. (a) (75 20)% as number = 378.4
or,
110.6 100
7
60% of 1580 =
?
8926
650 = 8848
100
2898
2898 100
42
920 7.5
19. (b) According to the question,
(42 35)% of number = 110.6
or, Number =
115 80
= 126800
=116656
100 100
12. (c)
? 7.5
100
42700
or ? =
920
290360
( x 150) 5
= 15
100
9
35
9
35
9 2.3
3 35
or
6100
Number
17.25
8
Number = 17.25 8 = 138
73
100
24. (d) According to the question,
3
14
Number
3 15 40
4 100 100
Number
153
Number
3400
or
45
100
Number = 255.6
100.74
255.6
20
= 568
9
671
12
25% of number = x
= 568
25
100
25
= 142
100
35. (b) ?
1012
100 = 88
1150
570
= 377910
100
Max. marks =
Number
or,
number
14
= 135.10
100
or,
number =
135.10 100
= 965
14
463.68
463.68 100
56
3818 100
20
40
= 386
100
828
207
5
100
198000 107 95
= 201267
100 100
1066
56
100
7
100
1300
= 198000 1
247 100
19
82
1300
100
377910 100
= 66300
570
261
100 = 725
36
or ? =
` 19090
3700
= 740
5
1556 25
100
389
555 100
850
65.294%
= 65% (approx.)
280
= 1288
100
Number =
644 100
70
30% of number
1850 38
= 703
100
x 70
= 644
100
42. (e)
=6
150
= 5013
100
25
= 144
100
644 100 30
= 276
70
100
3960 100
= `13200
30
13
55680 635 ? = 27740
635 ? = 55680 27740 = 27940
654 100
% = 68.84% 69%
950
46. (c)
77384 100
= ` 113800
68
550 12
100
320 ?
100
51. (b)
16
3.2
(45 + 36) of ? = 54
81 ? = 54
82
?=
53. (c)
40 x
100
54. (e)
? 35568
100 650
48. (c)
64
1075.2
100
or
or
64
?
100
or
499.2
499.2
?=
55. (c)
15
60 33
100 4
1574.4 100
64
2460
or
7 26
13 30
9900
180
55
7
30x
=
26y 13
310 50
100
300x
7
100
=
260y 13
100
35 180 ?
100
100
or
or
or
x
y
6
1
60% of 8
5
4
= 13.8
499.2 1075.2
x
49. (a) Let the original fraction =
y
or
903
64
1574.4
100
456
800
? 64 1120 96
100
100
2
3
36
0.2
4800
1320
100
100
54
81
18
25
144
of ? = 54
100
100
250
52. (a)
44
599 65
= 389.35
100
66 + 3.2 ? = 82
3.2 ? = 82 66
?=
27940
635
?=
8.2
1.75
108
100
100
739
100
628
58 635 ?
380 740
277.4
630 2812 630
100
100
100
96058 635 ? = 277.4100
Buy books : http://www.dishapublication.com/entrance-exams-books/ibps-exams.html
4.46
4.50
14
70. (e) Let the maximum marks be x
According to the question,
62
94.5
= 519.75
100
35 x
42
100
x = 840
7
20
+ 110
8
100
= 217 + 22 = 239
(b) Total expenditure = 44668 + 56732 = 101400
Total percentage expenditure = 100 22 = 78 %
101400 100
= ` 130000
78
63. (d) Total valid votes = 85% of 15200 = 12920
Number of valid votes to other candidate
= 45% of 12920 = 5814
64. (b) Let the number be x.
71.
(c)
72.
(a)
x 200% of x
9
=
y 150% of y 10
200
x
100
9
150y =
10
y
100
x=
3x
9
2.5y 10
100 100
= 80%
125
66. (e) Population after two years
x
9 2.5 22.5
=
=
y
10 3
30
Percentage =
73.
125 92
= 48600
= 55890
100 100
(c)
74.
(e)
x = 120
992 100
= 3542
28
5000
= 72.46 mins
69
Diff. = 83.33 72.46
= 10.87 or approx 10 minutes.
(71 46)% of x = 120
25% of x = 120
Time taken =
100
= 800
45
30
= 240
100
Required marks = 240 108 = 132
69. (e) Votes obtained by winner candidate = 64%
Votes obtained by loser candidate
= (100 64) = 36%
Difference of votes = (64 36) = 28%
According to question,
5000
= 83.33 mins.
60
Speed today = 60 115% = 69
40
= ` 20000
100
80
= ` 64000
25
225
3
=
300
4
600000
= ` 50000
12
Total votes =
600 100
= 20,000
3
Let the numerator be x & denominator be y
x=
15
45
= 105.3
100 100
10, 000 2 3
= 600
100
Let his monthly salary be x
3% of x = 600
SI =
3
x = 600
100
Total amount =
then, x
336
75.
(b)
100
25
= 480
30% of 480 = 144
Percentage of income saved
= 100 (45 + 30) = 25%
25% of x = 4500
x = 4500
76.
(a)
100
25
= 18000
No. of boys this year = 610 80% = 488
No. of girls = 488 175% = 854
15
77.
(c)
85.
(e)
86.
(b)
78.
(e)
65% of x
65x
100
40x
x
= 96
100
(e)
80.
(c)
81.
(d)
96 100
x=
60
x = 160.
Marks lost = 160 40% = 64
No. of candidates selected = 855 20%
= 171
98% of 250 = 245 &
32% of 750 = 240
32% of 750 < 98% of 250.
Marks scored by Mathew
= 42 + 51 + 58 + 35 + 48
= 234
Max. Marks = 60 5 = 300
234
100 = 78%
300
Ratio of Expenses = 4 : 2 : 5,
therefore amount spend on clothes, i.e. 2x = 5540
x = 2770
Total exp = (4 + 2 + 5)x = 11x.
= 11 2770 = 30470
Total income be x.
55% of x = 30470
25x
= 140
100
(a)
100
= 55400
55
Let the Ist number be x & the IInd number be y.
35% of x = 2 75% of y
x = 30470
83.
(e)
87.
(a)
84.
(e)
88.
(a)
89.
(e)
100
= 350
16
70% of 350 = 245
Per centage of money left with Nand Kish ore
= 100 (50 + 35) = 15%
15% of x = 11250
x = 56
90.
(b)
91.
(c)
5
8
30, 000 3 5
= 4500
100
x% of 22,500 = 4500
SI =
4500 100
= 20%
22,500
Let the number be x
15% of x + 10% of x = 70.
25% of x = 70
x=
92.
120x 100
3
=
100 125y 5
100
= 75,000
15
x
22,500 = 4500
100
125y 3
=
100
5
3 125
5 120
100
= 23, 200
25
(72 56)% of x = 56
16% of x = 56
x = 5800
x 20% of x 3
y 25% of y = 5
x
y
100
= 42, 500
30
Percentage savings of Mr. Davar = 100 (38 + 25 + 12)
= 25%
Let his monthly income be x
25% of x = 5800
x = 11250
150
= 30 : 7
35
120x
100
30
= 12750
100
x = 12750
35x 150y
=
100
100
x
y
100
= 560
25
30% of 560 = 168.
Percentage savings of Sonali = 100 (15 + 55) = 30%
Let her monthly income be x
x = 140
Percentage scored =
82.
140
65x 40x
= 140
100
60x
= 96,
100
79.
2x
5
2x
= 140
5
(c)
100
= 280
25
Twice of that number = 280 2 = 560.
x = 70
16
93.
(b)
94.
(a)
95.
(e)
97.
(c)
98.
(b)
100
= 1500
7
6x
22y
=
11
100
(b)
(d)
100. (e)
11
= 242
6
45% of 242 = 108.9
Male employees less than 25 years of age
= 4800
45 40
100 100
= 864
60% are above 25, therefore it implies that 40%, are below 25)
(50 25 10)
= 900
100
x=
x = 132
96.
50x
100
50x 15
= 900
100 100
2400
= 600
y=1
4
22 600
= 132
100
119
100
169
= 70.4 70%
Let Mr. Giridhr's income tax
1z
y = , but z = 2400 (given)
4
6x
So,
11
24
100 = 60%
40
Sonia's score = 75 10 = 65
Rohit's score = 65 + 45 = 110
Raman's score = 110 25 = 85
Ravi's score = 85 + 34 = 119
Max. Marks = 119 + 50 = 169
Win percentage =
2259
= 753
3
Highest number = 753 + 2 = 755
41% of 755 = 309.55
Marks scored in subject B = 150 56% = 84
Total marks scored in all the 3 subjects
= (150 3) 54% = 243
Marks scored in subject C = 243 73 84 = 86
x=
101. (b)