Percentages Quiz Set 016

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Question 1

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 2

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 3

Two numbers are, respectively, 10% and 30% less than a third number. What percent is the second of the first?

 A

$77{7/9}$ %.

 B

$88{5/8}$ %.

 C

$62{9/11}$ %.

 D

$66{1/11}$ %.

Soln.
Ans: a

If the third number is 100, first number is (100 - 10) = 90, and the second number is (100 - 30) = 70. The required ratio is $70/90$ × 100 = ${700/9}$, which is same as: $77{7/9}$%.


Question 4

One number is 456 more than the other, and it is 88% of the sum of them. What is the number?

 A

528.

 B

628.

 C

428.

 D

728.

Soln.
Ans: a

Let the numbers be x and x - 456. We have been given x = $88/100$ × (x + x - 456), which gives 100x = 88 × (2x - 456), solving, we get x = 528.


Question 5

If 58 is m% of p, and B is p% of m, then what is B?

 A

58.

 B

68.

 C

48.

 D

78.

Soln.
Ans: a

Let 58 = A, so A = $m/100$ × p = $p/100$ × m. = B, so A and B are same.


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Creative Commons License
This Blog Post/Article "Percentages Quiz Set 016" 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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