# Quantitative Aptitude Questions -- PERCENTAGES Solved Problems 1

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Aptitude
Questions with Explanations - Percentages
Solved Problems 1
What fraction is equal to 37 ½ %?
a)
1/8 b)1/6 c)3/5 d)3/8
Answer : D
Explanation:
37 ½ % = 75 /2 %
=
75/2 * 1/100 =3/8.

Quantitative
Aptitude Questions with solutions- Percentages Solved Problems 2
Express 5/8 as a rate percent.
a)37 ½% b)62 ½% c)47.5% d)87.5%
Answer :D
Explanation:
5/8=5/8
* 100 %
=62 ½ %

Aptitude
Questions with Explanations -- Percentages Solved Problems 3
What is 25% of 1200 gms?
a) 300 grams b)400 grams c)450 grams d) 550 grams
Answer: A
Explanation:
25% of 1200 grams = (25 /100) x 1200.
=
300gms

Arithmetic
Aptitude - Percentages Solved Problems 4
20 paise is what percentage of Rs 1.80?
a)
11 .75% b) 11.11% c)10% d)8%
Answer :D
Explanation:
To tell one value as percentage of another value, both values must be in the
same units. => Rs 1.80 = 180 paisa.
(20ps /
180)* 100
=
(20/180) *100
=
11 1/9%
= 11.11%

Aptitude
Questions - Percentages Solved Problems 5
The price of a book is increased from Rs 300 to Rs 360. What is
the percentage of increase in its price?
a)20% b)25% c)30% d)35%
Answer
:A
Explanation: Change in the price = Rs 360 – Rs 300
=
Rs 60
percentage
of increase = (change in the price/ Initial price)* 100.
\
Percentage increase in price = (60/300) *100 = 20%

Arithmetic
Word Problems - Percentages Solved Problems 6
A earns Rs 3500 in a month and spends 70 % of his income. How
much does he save in a year?
a)
Rs 12600 b)Rs 15000 c)Rs 18000 d)Rs
11500
Answer :A
Explanation:
Spending
70% means, saving are 30% of his income.
Monthly
savings = 30% of 3500
= Rs 1050
Savings in a year =12 x 1050
= Rs 12600

Aptitude
Questions - Percentages Solved Problems 7
A number is
when decreased by 12% of it gives 440.What is the number?
a)
300 b)400 c)500 d)600
Answer
:C
Explanation:
(x-12%)of x =440
=> (88/100)*x =440.
\ x=500

Quantitative
Aptitude -- Percentages Solved Problems 8
When 40 % of a number is added to 420, the result is the number
itself. What is the value of number?
a)500 b)550 c)620 d)700
Answer :D
Explanation:
Let
x be the number then 40% of
x
+420 = x.
x – 40% of x =420
100
% x – 40 % x= 420.
60
% x = 420.
X=700

Aptitude
Questions Percentages Solved Problems 9
In an election a candidate who gets 45% of the total votes is
defeated by a majority of 1500 votes. Find the total number of votes recorded.
a)4000 b)4500 c)5000 d)5500
Answer :C
Explanation:
Let
the total votes be x, so that if the one candidate is polled 45%, then other is
polled 55%.
Majority =
Votes of winner – Votes of looser
1500 = 55% of x – 45% of x.
30% of x =1500
x=
5000

Arithmetic
Aptitude Problems with Solutions - Percentages Solved Problems 10
The number of seats in a theatre is increased by 25%. The price
of ticket is also increased by 12%. Then , the increase in revenue collection
will be
a)35% b)40% c)45% d)50%
Answer: B
Explanation: A
value is increased by a%, again increased by b%, then overall percentage change
= ( a + b + (ab/100))%
={ 25 + 12 + (25 x
12)/100 } %
= 40%

Aptitude
Solved Questions - Percentages Solved Problems 11
Two numbers are 20% and 40% more than a third number
respectively. The first number is x% of second number. Then x is equal to
a)
80%
b) 85.71% c)65% d)72%
Answer :D
Explanation:
If
two numbers are respectively x% and y% more than the third number , then
first as a percent of seconds is (100+x / 100+y) *100.
If the third number is 100 then the numbers
are 120 and 140 respectively
\ First number as a percentage of second
= (120 /140) * 100
= 6/7 x 100%
= 85.71%
Alternate Method :
Let 3 numbers be A, B and C and C be equal to
100
A is 20% more than C => A=120
B is 40% more than C => B= 140
The first number is x % of second
number => Then x = (120 /140) x 100%
= 85.71%

Aptitude
Questions for Placement Papers - Percentages Solved Problems 12
A and B are respectively 20% and 50% of C . What is the
percentage of the A to B ?
a)10% b)20% c)30% d)40%
Answer
: D
Explanation :
Let C be 100.
Then A and B are 20 and 50
respectively.
Required percentage = A/B X 100%
=20/50 X 100%
= 40%

Aptitude
Questions -- Percentages Solved Problems 13
The value of mobile increases by 20% annually. If it’s present
value is Rs. 8000. What will be its value after 2 years?
a) 12500 b) 15000 c) 11520 d)
16000
Answer: C
Explanation:
The present price of the book is Rs 8000
Its price increases by 20%
annually
The
price after 2 years = 8000 x 120/100 x
120/100
= Rs
11520

Aptitude
Questions and Answers - Percentages Solved Problems 14
The number of students in a school increased by 10% and by 20% in
two successive years. If the present strength of the school is 1056. What was
the number of students in the school 2 years ago?
a) 600 b) 700 c)500 d)
800
Answer :D
Explanation: Let the number of students in the school 2
years ago =N
In last 2 years, the enrolment is
increased by 10% and 20% respectively.
Its present strength is 1056
N x 110/100 x 120/100 = 1056
N= 1056 x 100/110 x 100/ 120
= 800

Quantitative
Aptitude Questions and Answers -- Percentages Solved Problems 15
The value of a building decreased by 10% annually. If its value
is Rs. 1, 00, 000. What will be its value 3 years hence?
a) Rs. 72,900 b)
Rs. 60000 c) Rs 70000 d) Rs72250
Answer : A
Explanation:
The present value of building is Rs 100000.
Its values being decreased by 10% every years.
Means at the end of the every year, its value becomes 90% of its value.
Value of building after 3 years = Rs 1,00,000 x 90/100
x 90/100 x 90/100
= Rs 72,900

Aptitude
Questions and Answers Percentages
Solved Problems 16
When 56 is subtracted from a number it is reduced to its
one-third. What is the value of 150% of the number?
a) 126 b) 84 c)
42 d)
148
Answer:
Explanation:
Let number be N
N – 56 = (1/3)N
=>3N- 168 = N
=>N= 84
150% of 84 = 84 x 150/100 = 126

Arithmetic
Questions and Answer -Percentages Solved Problem 17
On increasing the number of pages in a book by 80, they become 240.
What is the percentage of increase in the number of pages in the book?
a)
25% b)30%
c) 50% d) 70%
Answer
Explanation : Number of pages increased = 80
Now , the number of pages of book = 240
Number of pages of the books before increase = 240 – 80 = 160
% increase in the number of pages in the book = 80/160 x 100%
= 50%

Aptitude
Problems with Explanations --Percentages Solved Problems 18
A man spends 10% of his salary for house rent, 20% on food, 25%
for all other expenses and saves Rs 2520 per month. His monthly salary is
a)
5600 b)5000 c)7000 d)10000
Answer
Explanation:
Total salary = 100%
His spending
are on house rent 10%, on food 20% and for other expenses 25%.
Total expenditure = 10 % + 20%
+ 25% = 55%
His savings are => Income –
Expenses
ð 100% - 55% => 45% = Rs 2520
Hi salary is 1005 => 2520 / 45 x 100
= Rs 5600

Aptitude
Questions with Explanations -- Percentages Solved Problems 19
In a library 25% of the books are in English, 20 % of the
remaining are in Hindi, 75% remaining are in Telugu and the remaining 3,000
books are in all other languages. How many books are there in the library?
a)20,000 b)
10,000 c) 5,000 d)
12000
Answer :A
Explanation: Let total books be N.
When 25% of the book are in English ,
the remaining books will be 75% of N
N x ( 100 -25)/100 x ( 100
-20)/100 x (100- 75)/100 = 3000
N x 75/100 x 80/100 x 25/ 100 = 3000
ð 20000
Aptitude Questions and Answers Percentages
Solved Problems 20
In a fraction, the numerator is decreased by 50% and the
denominator is increased by 25%, then the value of the fraction becomes 3/11.
What is the original fraction?
a)
17/22 b) 15/22
c) 21/22 d) None
Answer : C
Explanation : Let the original fraction be a/b.
Numerator is decrease by 50% =>
Then it becomes 50% of a
Denominator is increased by 25% =>
Then it becomes 125% of b
Therefore , 50/100
a / 125/100 b = 3/11
ð a/b
= 15/22

Aptitude
Questions with Explanations - Percentages
Solved Problems 1

What fraction is equal to 37 ½ %?

a)
1/8 b)1/6 c)3/5 d)3/8

Answer : D

Explanation:

37 ½ % = 75 /2 %

=
75/2 * 1/100 =3/8.

Quantitative
Aptitude Questions with solutions- Percentages Solved Problems 2

Express 5/8 as a rate percent.

a)37 ½% b)62 ½% c)47.5% d)87.5%

Answer :D

Explanation:

5/8=5/8
* 100 %

=62 ½ %

Aptitude
Questions with Explanations -- Percentages Solved Problems 3

What is 25% of 1200 gms?

a) 300 grams b)400 grams c)450 grams d) 550 grams

Answer: A

Explanation:

25% of 1200 grams = (25 /100) x 1200.

=
300gms

Arithmetic
Aptitude - Percentages Solved Problems 4

20 paise is what percentage of Rs 1.80?

a)
11 .75% b) 11.11% c)10% d)8%

Answer :D

Explanation:
To tell one value as percentage of another value, both values must be in the
same units. => Rs 1.80 = 180 paisa.

(20ps /
180)* 100

=
(20/180) *100

=
11 1/9%

= 11.11%

Aptitude
Questions - Percentages Solved Problems 5

The price of a book is increased from Rs 300 to Rs 360. What is
the percentage of increase in its price?

a)20% b)25% c)30% d)35%

Answer
:A

Explanation: Change in the price = Rs 360 – Rs 300

=
Rs 60

percentage
of increase = (change in the price/ Initial price)* 100.

\
Percentage increase in price = (60/300) *100 = 20%

Arithmetic
Word Problems - Percentages Solved Problems 6

A earns Rs 3500 in a month and spends 70 % of his income. How
much does he save in a year?

a)
Rs 12600 b)Rs 15000 c)Rs 18000 d)Rs
11500

Answer :A

Explanation:

Spending
70% means, saving are 30% of his income.

Monthly
savings = 30% of 3500

= Rs 1050

Savings in a year =12 x 1050

= Rs 12600

Aptitude
Questions - Percentages Solved Problems 7

A number is
when decreased by 12% of it gives 440.What is the number?

a)
300 b)400 c)500 d)600

Answer
:C

Explanation:

(x-12%)of x =440

=> (88/100)*x =440.

\ x=500

Quantitative
Aptitude -- Percentages Solved Problems 8

When 40 % of a number is added to 420, the result is the number
itself. What is the value of number?

a)500 b)550 c)620 d)700

Answer :D

Explanation:

Let
x be the number then 40% of

x
+420 = x.

x – 40% of x =420

100
% x – 40 % x= 420.

60
% x = 420.

X=700

Aptitude
Questions Percentages Solved Problems 9

In an election a candidate who gets 45% of the total votes is
defeated by a majority of 1500 votes. Find the total number of votes recorded.

a)4000 b)4500 c)5000 d)5500

Answer :C

Explanation:

Let
the total votes be x, so that if the one candidate is polled 45%, then other is
polled 55%.

Majority =
Votes of winner – Votes of looser

1500 = 55% of x – 45% of x.

30% of x =1500

x=
5000

Arithmetic
Aptitude Problems with Solutions - Percentages Solved Problems 10

The number of seats in a theatre is increased by 25%. The price
of ticket is also increased by 12%. Then , the increase in revenue collection
will be

a)35% b)40% c)45% d)50%

Answer: B

Explanation: A
value is increased by a%, again increased by b%, then overall percentage change
= ( a + b + (ab/100))%

={ 25 + 12 + (25 x
12)/100 } %

= 40%

Aptitude
Solved Questions - Percentages Solved Problems 11

Two numbers are 20% and 40% more than a third number
respectively. The first number is x% of second number. Then x is equal to

a)
80%
b) 85.71% c)65% d)72%

Answer :D

Explanation:

If
two numbers are respectively x% and y% more than the third number , then
first as a percent of seconds is (100+x / 100+y) *100.

If the third number is 100 then the numbers
are 120 and 140 respectively

\ First number as a percentage of second

= (120 /140) * 100

= 6/7 x 100%

= 85.71%

Alternate Method :

Let 3 numbers be A, B and C and C be equal to
100

A is 20% more than C => A=120

B is 40% more than C => B= 140

The first number is x % of second
number => Then x = (120 /140) x 100%

= 85.71%

Aptitude
Questions for Placement Papers - Percentages Solved Problems 12

A and B are respectively 20% and 50% of C . What is the
percentage of the A to B ?

a)10% b)20% c)30% d)40%

Answer
: D

Explanation :
Let C be 100.

Then A and B are 20 and 50
respectively.

Required percentage = A/B X 100%

=20/50 X 100%

= 40%

Aptitude
Questions -- Percentages Solved Problems 13

The value of mobile increases by 20% annually. If it’s present
value is Rs. 8000. What will be its value after 2 years?

a) 12500 b) 15000 c) 11520 d)
16000

Answer: C

Explanation:

The present price of the book is Rs 8000

Its price increases by 20%
annually

The
price after 2 years = 8000 x 120/100 x
120/100

= Rs
11520

Aptitude
Questions and Answers - Percentages Solved Problems 14

The number of students in a school increased by 10% and by 20% in
two successive years. If the present strength of the school is 1056. What was
the number of students in the school 2 years ago?

a) 600 b) 700 c)500 d)
800

Answer :D

Explanation: Let the number of students in the school 2
years ago =N

In last 2 years, the enrolment is
increased by 10% and 20% respectively.

Its present strength is 1056

N x 110/100 x 120/100 = 1056

N= 1056 x 100/110 x 100/ 120

= 800

Quantitative
Aptitude Questions and Answers -- Percentages Solved Problems 15

The value of a building decreased by 10% annually. If its value
is Rs. 1, 00, 000. What will be its value 3 years hence?

a) Rs. 72,900 b)
Rs. 60000 c) Rs 70000 d) Rs72250

Answer : A

Explanation:
The present value of building is Rs 100000.

Its values being decreased by 10% every years.
Means at the end of the every year, its value becomes 90% of its value.

Value of building after 3 years = Rs 1,00,000 x 90/100
x 90/100 x 90/100

= Rs 72,900

Aptitude
Questions and Answers Percentages
Solved Problems 16

When 56 is subtracted from a number it is reduced to its
one-third. What is the value of 150% of the number?

a) 126 b) 84 c)
42 d)
148

Answer:

Explanation:
Let number be N

N – 56 = (1/3)N

=>3N- 168 = N

=>N= 84

150% of 84 = 84 x 150/100 = 126

Arithmetic
Questions and Answer -Percentages Solved Problem 17

On increasing the number of pages in a book by 80, they become 240.
What is the percentage of increase in the number of pages in the book?

a)
25% b)30%
c) 50% d) 70%

Answer

Explanation : Number of pages increased = 80

Now , the number of pages of book = 240

Number of pages of the books before increase = 240 – 80 = 160

% increase in the number of pages in the book = 80/160 x 100%
= 50%

Aptitude
Problems with Explanations --Percentages Solved Problems 18

A man spends 10% of his salary for house rent, 20% on food, 25%
for all other expenses and saves Rs 2520 per month. His monthly salary is

a)
5600 b)5000 c)7000 d)10000

Answer

Explanation:
Total salary = 100%

His spending
are on house rent 10%, on food 20% and for other expenses 25%.

Total expenditure = 10 % + 20%
+ 25% = 55%

His savings are => Income –
Expenses

ð 100% - 55% => 45% = Rs 2520

Hi salary is 1005 => 2520 / 45 x 100

= Rs 5600

Aptitude
Questions with Explanations -- Percentages Solved Problems 19

In a library 25% of the books are in English, 20 % of the
remaining are in Hindi, 75% remaining are in Telugu and the remaining 3,000
books are in all other languages. How many books are there in the library?

a)20,000 b)
10,000 c) 5,000 d)
12000

Answer :A

Explanation: Let total books be N.

When 25% of the book are in English ,
the remaining books will be 75% of N

N x ( 100 -25)/100 x ( 100
-20)/100 x (100- 75)/100 = 3000

N x 75/100 x 80/100 x 25/ 100 = 3000

ð 20000

Aptitude Questions and Answers Percentages
Solved Problems 20

In a fraction, the numerator is decreased by 50% and the
denominator is increased by 25%, then the value of the fraction becomes 3/11.
What is the original fraction?

a)
17/22 b) 15/22
c) 21/22 d) None

Answer : C

Explanation : Let the original fraction be a/b.

Numerator is decrease by 50% =>
Then it becomes 50% of a

Denominator is increased by 25% =>
Then it becomes 125% of b

Therefore , 50/100
a / 125/100 b = 3/11

ð a/b
= 15/22