Percentages Quiz Set 009

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Question 1

The sum of two numbers is 2304. One of them is 188% of the other. The smaller number is?

 A

800.

 B

810.

 C

790.

 D

820.

Soln.
Ans: a

Let the numbers be x and ${188x}/100$. The sum is x + ${188x}/100$ which is same as ${288x}/100 = 2304$. Solving we get the smaller number x = 800.


Question 2

A sample of alcohol has 40% water, and another sample has 60% water. If equal volumes of both the samples are combined, what is the percentage of water in the new sample?

 A

50 %.

 B

52 %.

 C

48 %.

 D

54 %.

Soln.
Ans: a

If 100 units of both alcohol are combined, there will be 100 units of water in 200 units of the new sample. The percentage of water is $100/200$ × 100 = 50%.


Question 3

Two numbers are, respectively, 5% and 35% less than a third number. What percent is the second of the first?

 A

$68{8/19}$ %.

 B

$73{5/18}$ %.

 C

61 %.

 D

$64{13/21}$ %.

Soln.
Ans: a

If the third number is 100, first number is (100 - 5) = 95, and the second number is (100 - 35) = 65. The required ratio is $65/95$ × 100 = ${1300/19}$, which is same as: $68{8/19}$%.


Question 4

Mr. X who spends 80% of his salary is able to save Rs. 40. What is his salary?

 A

Rs. 200.

 B

Rs. 300.

 C

Rs. 500.

 D

Rs. 400.

Soln.
Ans: a

Let the salary be x. His saving% is 100 - 80 = 20, so 20% of x = 40, which gives x = $40/20$ × 100 = Rs. 200.


Question 5

A sample of alcohol has 30% water, and another sample has 70% water. If equal volumes of both the samples are combined, what is the percentage of water in the new sample?

 A

50 %.

 B

52 %.

 C

48 %.

 D

54 %.

Soln.
Ans: a

If 100 units of both alcohol are combined, there will be 100 units of water in 200 units of the new sample. The percentage of water is $100/200$ × 100 = 50%.


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Creative Commons License
This Blog Post/Article "Percentages Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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