Percentage Questions and Answers
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The below questions are meant to test your knowledge of percentages. Percentages are fractions of 100 so for example 40 out of 100 is 40/100=0.4 which again is 40%.
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:
Answer & Explanation:
Answer: Option C
Explanation: Let their marks be (x + 9) and x.
Then, x + 9 = 56/100(x + 9 + x)
25(x + 9) = 14(2x + 9)
3x = 99
x = 33
So, their marks are 42 and 33.
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Answer & Explanation:
Answer: Option D
Explanation: Suppose originally he had x apples.
Then, (100 - 40)% of x = 420.
60/100 x x = 420
x = (420 x 100)/60 = 700.
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Answer & Explanation:
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 = (14/70 x 100)% = 20%.
If A = x% of y and B = y% of x, then which of the following is true?
Answer & Explanation:
Answer: Option E
Explanation: x% of y = (x/100 x y) = (y/100 x x) = y% of x
A = B.
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Answer & Explanation:
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 + 2/3 of 48
80/100x = 80
x = 100.