Percentages Quiz Set 014

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Question 1

A bag contains 780 red, 2160 green and 3060 blue marbles. What percentage of the total is the most visible color in the bag?

 A

51 %.

 B

61 %.

 C

41 %.

 D

71 %.

Soln.
Ans: a

By inspection, blue is the most visible color. The percentage of blue is $3060/{780 + 2160 + 3060}$ × 100 = 51%.


Question 2

If 4% of A + B = 9% of A - B, then what percent of B is A?

 A

$2{3/5}$ %.

 B

$4{1/2}$ %.

 C

$1{1/7}$ %.

 D

4 %.

Soln.
Ans: a

We have been given 4% of A + B = 9% of A - B, so ${A + B}/{A - B}$ = $9/4$. By componendo and dividendo, ${(A + B) + (A - B)}/{(A + B) - (A - B)}$ = ${9 + 4}/{9 - 4}$, which gives $A/B$ = $13/5$ = ${13/5}$, which is same as: $2{3/5}$%


Question 3

If 17% of X + 8% of Y equals 2/3 of the sum of 4% of X and 15% of Y, then the ratio of X to Y is?

 A

${6/43}$.

 B

$1{1/6}$.

 C

$2{2/45}$.

 D

3.

Soln.
Ans: a

We can drop the % from both sides and write the given equation as 17X + 8Y = $2/3$ × (4X + 15Y), which is same as 3 × (17X + 8Y) = 2 × (4X + 15Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (17r + 8) = 2 × (4r + 15), solving for r we get r = ${6/43}$.


Question 4

Mr. X who spends 85% of his salary is able to save Rs. 255. What is his salary?

 A

Rs. 1700.

 B

Rs. 1800.

 C

Rs. 1600.

 D

Rs. 1900.

Soln.
Ans: a

Let the salary be x. His saving% is 100 - 85 = 15, so 15% of x = 255, which gives x = $255/15$ × 100 = Rs. 1700.


Question 5

A shopkeeper sells 83% items of his stock and still has 34 items left with him. How many items did he have at the beginning?

 A

200 items.

 B

300 items.

 C

500 items.

 D

400 items.

Soln.
Ans: a

Let the items be x. His % stock left is 100 - 83 = 17, so 17% of x = 34, which gives x = $34/17$ × 100 = 200 items.


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This Blog Post/Article "Percentages Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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