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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 =50x 100% = 455%
11011


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:


Answer: Option D
Explanation:

Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.

60x 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 =14x 100% = 20%.
70




5. 
If A = x% of y and B = y% of x, then which of the following is true?


Answer: Option E
Explanation:


x% of y =xx y=yx x= y% of x
100100

 A = B.





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

Explanation:


20% of a = b      20a = b.
100


 b% of 20 =bx 20=20a x1x 20=4a = 4% of a.
100100100100




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