# Aptitude - Percentage

Exercise : Percentage - General Questions
1.
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
45%
 45 5 % 11
 54 6 % 11
55%
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

Video Explanation: https://youtu.be/X2zTnABqEHU

2.
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
39, 30
41, 32
42, 33
43, 34
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.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
588 apples
600 apples
672 apples
700 apples
Explanation:

Suppose originally he had x apples.

Then, (100 - 40)% of x = 420.

 60 x x = 420 100

 x = 420 x 100 = 700. 60

Video Explanation: https://youtu.be/-Pv25Do3WwY

4.
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
1
14
20
21
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

Video Explanation: https://youtu.be/cBamI6iRNIA

5.
If A = x% of y and B = y% of x, then which of the following is true?
A is smaller than B.
A is greater than B
Relationship between A and B cannot be determined.
If x is smaller than y, then A is greater than B.
None of these