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Percentages - Solved Problems 2

Percentages - Solved Problems 2

For percentages concept and Formulae -

**Percentages - Concept****Aptitude Questions with Explanations -- Percentages Solved Problems 21**

A
student has to get 35% of marks to pass the examination. Gupta got 81 marks and
failed by 24 marks,. What is the maximum mark?

a)250
b)280 c)300 d)425

**Answer: C**

**Explanation:**Maximum marks = 100%

Pass percentage = Pass marks

=> 35% = 81 + 24 => 35% = 105

Maximum marks 100% =

105
35

x 100**Quantitative Aptitude - Percentages Solved Problems 22**

A
student has to get 44% of marks to pass the examination. Sharma got 192marks
and got 16 marks more than the necessary to pass the exam. What is the maximum
mark?

a) 400 b) 240 c) 250 d)
520

**Answer:A**

**Explanation :**Maximum marks = 100%

Pass percentage = Pass marks

=> 44% = 192 - 16

=> 44% = 176

Maximum marks 100% =

176
44

x 100
= 400

**Arithmetic Questions with answers - Percentages Solved Problems 23**

In an
examination Kiran got 27% of total marks and failed by 39. While Srisri got 63%
of total marks got 69 marks more than the necessary to pass the exam. What are
the maximum marks?

a) 400 b) 300 &c) 250 d)
200

**Answer:B**

**Explanation:**Kiran got 27% of total marks but failed by 39 marks

Pass marks =27% of maximum marks + 39

Srisri
got 63% of total marks got which are 69 marks more than the pass marks

Pass marks = 63% of maximum
marks – 69

27% of maximum marks+39= 63% of maximum
marks-69

36% of maximum
marks = 108

Maximum marks = 300

**Aptitude Questions and Answers Percentages Solved Problems 24**

In a
school of 1800 students, 40% are boys. 30% of the girls and 50% of the boys
failed the exam. What % of students in the school passed the exam?

a)
62% b) 63% c) 45% d) 50%

**Answer : A**

**Explanation :**Total students are 100%

Boys are 40% , then girls are 60%

30%
of the girls failed the exams =>

30
100

x 60 = 18% girls failed in the exam
50%
of the boys failed the exams =>

50
100

x 40 = 20% boys failed in the
exam
Total
% of students failed in the exam = 20 % + 18% = 38%

Percentage of students passed the exam
= 100 % - 38% = 62%

**Aptitude Questions with Solutions Percentages Solved Problems 25**

60
litres of a mixture of milk and water contain 35% of water. If 10 litres of
milk is added, what will be the percentage of water in the resultant mixture?

a)
35% b) 30% c) 40% d) 45%

**Answer:B**

**Explanation :**Water in the mixture = 35/100 x 60 = 21

Milk in the mixture =
60-21= 39 liters

10 litres of milk is added ,
the total mixture=60 +10 =70 litres

Percentage of water in the resultant
mixture =

21
70

x 100 %
= 30%

**Quantitative Aptitude Question - Percentages Solved Problems 26**

A
bucket contains 250 lit. of pure milk. At 9’O clock 20% of this is taken out
and replaced by water. At 10’O clock 20% of the mixture is taken out and
replaced by water. Again at 11’O clock 20% of the mixture is taken out and
replaced by water. What is the percentage of milk in the final mixture?

a) 128
lt b)
200 lt c) 64 lt. d) 140 lt

**Answer: A**

**Explanation:**Pure milk = 250 lts initially

For every hour 20% is
taken out => 80% remains

Percentage of milk in the
final mixture =

250 x

250 x

80
100

x
80
100

x
80
100

= 250 x

4
5

x
4
5

x
4
5

=128 lts

**Aptitude Questions with answer Percentages Solved Problems 27**

In an
organization, the number of male employees is less than that of female employees
by 30%, by what percentage the number of female employees is more than that of
male employees?

a) 43
6/7 % b) 42 6/7 % c) 44 2/7 % d) 41 6/7 %

**Answer : B**

**Explanation :**

If a value A is
less than by B by x% , the B is

x
100-x

x 100% more than A
Required percentage
=

30
100-30

x 100 %
=

30
70

x 100% =42 6/7%Alternate Method :

Let number of female employees
be 100.

Male employees are
30% less than female employees => 30

Required percentage =

30
70

x 100%
=42 6/7%

**Quantitative Aptitude Questions Percentages Solved Problems 28**

The
price of wheat is increased by 25%, by what percentage the consumption of sugar
be reduced so that the expenditure on this account remains constant?

a) 9
1/11% b) 18 2/11% c) 20 % d) 33 1/3 %

**Answer:**

**Explanation :**If the price of a commodity is increase by x% , to keep the expenditure constant , the percentage consumption in the consumption of that commodity must be

(

x
(100+x)

) x 100%
The
price of wheat is increased by 25%.

To
keep the expenditure on this account remains constant, the % decrease in the
consumption of wheat must be reduced by =>

25
(100+25)

x 100%
=>

25
125

x 100% = 20%**Aptitude Questions with Explanations Percentages Solved Problems 29**

The
price of an article has been reduced by 20%. In order to restore the original
price, the new price must be increased by :

a) 33 1/3% b) 11 1/9% c) 9 1/11% d) 66 2/3%

Let original price = Rs.100

Price after reduction= Rs.80

To restore the original price , the price must be increased on Rs.80=Rs.20

Increase on Rs.100 = (

a) 33 1/3% b) 11 1/9% c) 9 1/11% d) 66 2/3%

**Answer: A**

Explanation:Explanation:

Let original price = Rs.100

Price after reduction= Rs.80

To restore the original price , the price must be increased on Rs.80=Rs.20

Increase on Rs.100 = (

20
80

)×100)%=25%**Arithmetic Questions and Answers Percentages Solved Problems 30**

In an examination, 30% and 35% students
respectively failed in Mathematics and physics while 27% students failed in
both the subjects. If the number of students passing the examination is 496 ,
what is the total number of students who appeared in the examination?

a)760 b)800 c)840 d)960

**Answer :B**

**Explanation:**

Percentage of
students passing the examination

={ 100 –(30 + 35 – 27) }%

={ 100 –(30 + 35 – 27) }%

= { 100
– 38 } % = 62%

Let the total number of students appearing in
the examination be N

Given 62% of N = 496

ð

62
100

x N = 496 > N =
(496 x 100)
62

ð N=800

Therefore 800
students appearing in the examination.

**Numerical Ability Solved Questions Percentages Solved Problems 31**

The
maximum marks per paper in 3 subjects in
Mathematics , Physics and Chemistry are set in the ratio 1 : 2 : 2 respectively.
Shastri obtained 50% in Mathematics, 60% in Physics and 65% in Chemistry papers.
What is overall percentage marks did he get overall?

a)55% b)60% c)65% d)68%

**Answer :B**

**Explanation :**Ratio of maximum marks in 3 subjects = 1:2:2

Ratio of
the marks got in Mathematics, Physics and Chemistry

=

50
100

x 1
:
60
100

x 2 :
65
100

x 2
= 0.5 : 1.2 : 1.3

Overall
percentage of marks in 3 subjects =

(0.5 + 1.2 + 1.3)
(1+2+2)

x 100%
=

3
5

x 100%
= 60%

**Aptitude Questions with Explanations Percentages Solved Problems 32**

In a
tooth paste market survey, 30% opted for Colgate, whereas 50% opted for Pepsi
dent. The remaining people were not certain of any product. If the difference
between those who opted for Pepsident and those who are uncertain was 540, how
many people were covered in the survey ?

a)1800
b)1440 c)1200 d)800

**Answer:A**

**Explanation :**Let the number of individuals involved in the survey be N.

Percentage of those who were not certain = 100-
( 30+50) = 20%

The difference
between those who opted for Pepsident and those who are uncertain was 540.

50% of N – 20% of N =
540

ð 30% of N = 540

N=1800

**Aptitude Questions and Answer Percentages Solved Problems 33**

If the price of
petrol is increased by 25% , then find the percentage decrease in the
consumption of the petrol of user , who can afford only a 10% increase in expenditure ?

a)10% b)11% c)12% d)20%

**Answer : C**

**Explanation :**Price x Consumption= Expenditure

1 x
1 = 1

Let new consumption be
x.

Price is increased by 25% and he can
afford only 10% increase in expenditure.

1.25 X
x/100 =1.1

=> x =

1.1
1.25

x 100%
=> x= 88%

Consumption can be
88% , the consumption must be reduced by 12%

**Quantitative Aptitude Questions and answers Percentages Solved Problems 34**

The
population of village increases at the rate of 4% per annum. There is an
additional increase of 1% in the population due to the influx of job seekers.
Therefore the percentage increase in the population after 2 years will be

a)10% b)10.25% c)11% d)15%

**Answer :B**

**Explanation :**First increase is 4% , due to influx of job seeks 1% increase

So total increase is 5% per annum

After two years , the percentage increase will be => 5 + 5
+

(5 x 5)
100

%
= 10.25%

**Aptitude Questions with Explanations Percentages Solved Problems 35**

A
spends 80% of his salary and B spends 75% of his salary. Their total income is
Rs 18000. Find the income of A , if the savings of A and B are equal?

a)Rs
8000 b)Rs 10000 c)Rs 12000 d)Rs 15000

**Answer : B**

**Explanation:**Let salaries of each one be 100%.

Savings of A = (100% - 80%)= 20% of his salary

Savings of B = (100% - 75%) = 25%
of his salary.

Given that , the
savings of both of them are same.

20% of A’s salary = 25% of B’s
salary

A’s salary : B’s salary = 25 : 20 = 5 : 4

ð
A’s salary = Rs 18000 x $\frac{5}{9}$ = Rs Rs 10000

**Quantitative Aptitude Percentages Solved Problems 36**

1296 pencils
were distributed equally among students in such a way that the number of pencils
received by each student is 25% of the total number of students, How many pencils
did each student receive?

a)15 b)17 c)18 d)72

**Answer: C**

**Explanation :**Let the number of student be N.

Then each student got = 25% of N = ¼ of
N

25% of N x N = 1296
=> ¼ of N x N = 1296

ð N

^{2}= 1296 x 4 =5184
ð N=
72

Each student got = 25% of 72 = ¼ of 72 = 18

**Arithmetic Word Problems with Answer Percentages Solved Problems 37**

A
person saves 20% of his income. If his income is increased by 20% and he saves
25% of the new income, by what per cent his actual savings will decrease?

a)25% b)30% c)40% d)50%

Answer:

Explanation: Let initial income= Rs 100

Initial savings = 20% of Rs 100 = Rs
20

Income
after 20% increase = 100 x

120
100

= Rs 120
New savings = 25 % of Rs 120 = Rs 30

Increase in savings = Rs 30 – Rs 20 = Rs 10

Therefore,
percentage increase in savings =

10
20

x 100% = 50%**Aptitude Questions and Answer Percentages Solved Problems 38**

A
number is increased by 10% and again increased by 205. By what percentage
should the increased number be reduced so as to get back the original number ?

a)24.24% b)30% c)37.25% d)32%

**Answer:A**

**Explanation :**Net increase = 10 + 20 +

10x20
100

%
= 32%

Let the original
number be 100.

Then new number
(number after increase) = 132

To get back the
original value , the number must be reduced by =

32
132

x 100 %
= 24.24%

**Aptitude Questions with Explanations Percentages Solved Problems 39**

The
total salary of A and B in an organization is Rs 30000. If the salary of A
increase by 8% and salary of B increase by 10%, then their total salary would
increase to Rs 32600. Find the salary of B ?

a)Rs
6000 b)Rs 10000 c)Rs
8000 d)Rs 12000

**Answer : B**

**Explanation:**Let the total salary is completely B’s.

Then increase in the salary is 10% 30000 =
Rs 3000

Therefore , increased salary = Rs 30000 + Rs
3000 = Rs 30000

But the actual
increase in salary = 32600

Difference = Rs 33000 - Rs 32600 = Rs
400

Rs 400 is 2%( that
is 10% - 8% = 2 %) of the A’s salary.

A’s salary =

400
2

x 100 = Rs 20000
B’s salary = Rs 30000 – Rs
20000

= Rs 10000

**Aptitude Questions with Solutions Percentages Solved Problems 40**

800
candidates of a college appeared for an examination. 40% of the candidates
appeared are female candidates and 12.5% of the female candidates failed in the
examination. What percentages of male candidates failed if the total pass
percentage of the 85% ?

a)16
2/3% b)15% c)18% d)20%

**Answer :**

**Explanation :**Total female candidates = 800 x

40
100

= 320
Total male candidates =
800 x

60
100

= 480
Total number of
candidates failed = 15 % of 800 = 120

Total number of
female candidates failed = 12.5% of 320 = 40

Therefore total number of male candidates
failed = 120 –40 = 80

Percentage of male
candidates failed in the examination =

=
16 2/3%
80
480

x 100 % For more solved and tough questions on percentages , visit

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