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Percentage

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?

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 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:

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:

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

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

Explanation:

 x% of y = x x y = y x x = y% of x 100 100 A = B.

6.
If 20% of a = b, then b% of 20 is the same as:

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