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1. Percentage -1
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2. 1. In a class, the number of girls are 40% more than number of boys.
In an examination conducted in the class, 55 % of students failed
in the exam. If 48% of boys failed in the exam, then what is the %
of girls passed in the exam?
2. In a company, 60% of employees are women. If 40% of men and
35% of women employees are untrained. Then what % of
employees in the company are trained?
3. A man was recruited in the company with a salary of 12000/-.
After 1st year, his salary was increased by 20%.
After 2nd year, his salary was increased by 33 %.
After 3rd year, his salary was decreased by 10%.
After 4th year, his salary was increased by 25%.
What is the % change in his salary in 4 years ?
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3. change = 100
error = 100
• A = x % of B => if B = 100 then A = x
• A = x % more than B => if B = 100 then A = 100 + x
• A = x % less than B => if B = 100 then A = 100 – x
• 100 % of any value is value itself.
Basics :
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4. 1. In a class, the number of girls are 40% more than number of
boys. In an examination conducted in the class, 55 % of students
failed in the exam. If 48% of boys failed in the exam, then what is
the % of girls passed in the exam?
Ans :
Number of girls = 40 % more than boys
Boys Girls Total
100 140 240
55% of students are failed in the exam . So 45 % of students are passed.
Therefore total number of students passed are 108.
100 % = 240
45 % = 108
100 % = 100
52% = 52
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5. Boys Girls Total
100 140 240 -> strength
52 56 108 -> passed
Similarly 52 % of the boys passed in the exam. Total no of boys passed are 52.
Number of girls passed = number of students passed - number of boys passed
= 108 – 52
= 56.
Number of girls passed = 56.
% of girls passed in the exam is 40%
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% passed =
56
100

6. In a company, 60% of employees are women. If 40% of men and
35% of women employees are untrained. Then what % of
employees in the company are trained?
2.
Women are 60%. Let the total number of employees are 100.
=> Women are 60 and men 40
Men Women Total
40 60 100 = Total
24 39 63 = trained
Ans :
100 % = 60
65 % = 39
100 % = 40
60% = 24
Total number of employees trained are 63
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7. A man was recruited in the company with a salary of 12000/-.
After 1st year, his salary was increased by 20%.
After 2nd year, his salary was increased by 33 %.
After 3rd year, his salary was decreased by 10%.
After 4th year, his salary was increased by 25%.
What is the % change in his salary in 4 years ?
3.
The general method that most of them use is calculating the total sum every year.
But it takes a lot of time.
1st year = 14400
2nd year = 19200 % change =
21600−12000
100
3rd year = 17280 = 80 %
4th year = 21600
Ans :
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8. Doing the same question in 10 sec :
Initially assume some money which is easy for doing calculations. It
need not be the given amount for this method.
I am assuming the amount as 100.
100 120 160 144 180
80% increase
Now consider the difference between the final and initial value
20 40 16 36
Percentage increase in his salary = 80
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9. Subscribe to :
Continued…..
Problems for practice are given in the description of the video.
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10. 10 % -> divide the value by 10
100 % = 240 => 10 % = 24 => 5% = 12
50 % = 120
45 % = 108
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11. Practice problems
on Percentage
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12. 1. A train crosses a pole in 12 sec. It crosses a bridge of length 300m in 27
sec. what is the time taken by the train to cross a bridge of length of 600m?
2. A train crosses a bridge of length 122m in 17 sec. it crossed another bridge
of length 210m in 25 sec. find the length of the train?
3. A train travelling at a speed of 54kmph crosses a platform in 36 sec and a
man standing on the platform in 20 sec. find the length of the platform?
4. A train of length 240m travelling at a speed of 64kmph overtakes a man
running at a speed of 10 kmph in __ sec ?
5. A train starts from a station X at 6am and reaches another station Y at 10
am. Another train starts from station Y at 8am and reaches station ‘X’ at
11:30am. At what time do the trains cross each other?
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13. 1. In a class, the number of boys are 20% less than number of girls.
In a test conducted in the class,70% of students failed in the
exam. If 55% of boys failed in the exam, then what is the % of
girls passed in the exam?
Ans :
Number of boys = 20 % less than girls
Boys Girls Total
80 100 180
55% of students are failed in the exam . So 45 % of students are passed.
Therefore total number of students passed are 54.
100 % = 80
45 % = 36
100 % = 180
30% = 54
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14. Boys Girls Total
80 100 180 -> strength
36 18 54 -> passed
Similarly 52 % of the boys passed in the exam. Total no of boys passed are 52.
Number of girls passed = number of students passed - number of boys passed
= 54 – 36
= 18.
Number of girls passed = 18.
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15. Subscribe to :
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