knowledge philic presents
answer
with full explanation of percentage questions
1)_
Answer: Option B
Explanation:
Number of runs made by running = 110 
(3 x 4 + 8 x 6)
= 110  (60)
= 50.
Required
percentage =


50

x 100

% = 45

5

%

110

11

2)_Answer: Option C
Explanation:
Let their marks be (x + 9)
and x.
Then, x + 9 =

56

(x + 9 + x)

100

25(x +
9) = 14(2x + 9)
3x =
99
x =
33
So, their marks are 42 and 33.
3)_Answer: Option D
Explanation:
Suppose originally he had x apples.
Then, (100  40)% of x =
420.

60

x x = 420

100

x =


420 x 100

= 700.

60

4)_Answer: Option C
Explanation:
Clearly, the numbers which have 1 or 9
in the unit's digit, have squares that end in the digit 1. Such numbers from 1
to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Required
percentage =


14

x 100

% = 20%.

70

5)_answer: Option E
Explanation:
x% of y =


x

x y


=


y

x x


= y% of x

100

100

A
= B.
6)_Answer: Option A
Explanation:
20% of a = b

20

a = b.

100

b%
of 20 =


b

x 20


=


20

a x

1

x 20


=

4

a = 4% of a.

100

100

100

100

7)_Answer: Option E
Explanation:
Let the number of students be x.
Then,
Number of students above 8 years of age
= (100  20)% of x = 80% of x.
80%
of x = 48 +

2

of 48

3


80

x = 80

100

x =
100.
8)_Answer: Option D
Explanation:
5% of A + 4% of B =

2

(6% of A + 8% of B)

3


5

A +

4

B

=

2


6

A +

8

B


100

100

3

100

100


1

A +

1

B

=

1

A +

4

B

20

25

25

75



1



1

A =


4



1

B

20

25

75

25


1

A =

1

B

100

75

A

=

100

=

4

.

B

75

3

Required
ratio = 4 : 3
9)_Answer: Option D
Explanation:
Let the number be x.
Then, error =

5

x 

3

x =

16

x.

3

5

15

Error% =


16x

x

3

x 100

% = 64%.

15

5x

10)_Answer: Option A
Explanation:
Number of valid votes = 80% of 7500 =
6000.
Valid
votes polled by other candidate = 45% of 6000
=


45

x 6000


= 2700.

100

11)_answer: Option A
Explanation:
Total number of votes polled = (1136 +
7636 + 11628) = 20400.
Required
percentage =


11628

x 100

% = 57%.

20400

12)_Answer: Option B
Explanation:
Let the sum paid to Y per week be
Rs. z.
Then, z + 120%
of z = 550.
z +

120

z = 550

100


11

z = 550

5

z =


550 x 5

= 250.

11

13)_Answer: Option C
Explanation:
Let the amount taxable purchases be
Rs. x.
Then, 6% of x =

30

100

x =


30

x

100

= 5.

100

6

Cost
of tax free items = Rs. [25  (5 + 0.30)] = Rs. 19.70
14)_Answer: Option A
Explanation:
Rebate = 6% of Rs. 6650 = Rs.


6

x 6650


= Rs. 399.

100

Sales tax = 10% of Rs. (6650  399) = Rs.


10

x 6251


= Rs. 625.10

100

Final
amount = Rs. (6251 + 625.10) = Rs. 6876.10
15)_answer: Option B
Explanation:
Increase in 10 years = (262500 
175000) = 87500.
Increase% =


87500

x 100

% = 50%.

175000

Required
average =


50

% = 5%.

10

source:
india bix
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