ExamAdept

If A = x% of y and B = y% of x, then which of the following is true?

A:

A is smaller than B.

B:

A is greater than B

C:

Relationship between A and B cannot be determined.

D:

If x is smaller than y, then A is greater than B.

Answer: E

x% of y =		x	x y		=		y	x x		= y% of x
		100					100

A = B.

📖

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

A:

1

B:

14

C:

20

D:

21

Answer: C

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

📖

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

A:

588 apples

B:

600 apples

C:

672 apples

D:

700 apples

Answer: D

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

📖

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:

A:

39, 30

B:

41, 32

C:

42, 33

D:

43, 34

Answer: C

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.

📖

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?

A:

45%

B:

45	5	%
	11

C:

54	6	%
	11

D:

55%

Answer: B

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

📖

Questions for: Percentage