Percentages Quiz Set 002

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Question 1

The sum of two numbers is 1560. One of them is 160% of the other. The smaller number is?

 A

600.

 B

610.

 C

590.

 D

620.

Soln.
Ans: a

Let the numbers be x and ${160x}/100$. The sum is x + ${160x}/100$ which is same as ${260x}/100 = 1560$. Solving we get the smaller number x = 600.


Question 2

A number is first increased by 100%, and thereafter it is reduced by 100% again. What is the overall reduction?

 A

100 %.

 B

102 %.

 C

98 %.

 D

104 %.

Soln.
Ans: a

Let us derive the shortcut formula first, so that you can remember it and use it when the need arises. Suppose the number is 100, and let the increase be x%. The number becomes 100 + x. When it is reduced by x%, we get 100 + x - $((100 + x) × x)/100$ = 100 + x - $(x + x^2/100)$ = 100 - $x^2/100$, hence a reduction of $x^2/100$ = 100%


Question 3

The number of online customers increased from 1075 to 2575. What is the percentage increase?

 A

$139{23/43}$ %.

 B

$143{37/42}$ %.

 C

$132{17/45}$ %.

 D

$136{1/5}$ %.

Soln.
Ans: a

The increase is 2575 - 1075 = 1500. The percentage increase is $1500/1075$ × 100 = ${6000/43}$, which is same as: $139{23/43}$.


Question 4

The age of Mr. X is 20% more than Mr. Y's age which is 20 years at present. By what percent is Y's age less than Mr. X's age?

 A

$16{2/3}$ %.

 B

$26{1/2}$ %.

 C

$15{2/3}$ %.

 D

$11{4/5}$ %.

Soln.
Ans: a

Age of Mr. X is 20 + ${20 × 20}/100$ = 24 years. Mr. Y's age is less than Mr. X's age by ${20 × 20}/100$ = 4 years. In terms of percentage, it is $4/24$ × 100 = ${50/3}$, which is same as: $16{2/3}$.


Question 5

A bag contains 280 red, 380 green and 1340 blue marbles. What percentage of the total is the most visible color in the bag?

 A

67 %.

 B

77 %.

 C

57 %.

 D

87 %.

Soln.
Ans: a

By inspection, blue is the most visible color. The percentage of blue is $1340/{280 + 380 + 1340}$ × 100 = 67%.


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Creative Commons License
This Blog Post/Article "Percentages Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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