Percentages Quiz Set 012

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Question 1

A sample of alcohol has 60% water, and another sample has 80% water. If equal volumes of both the samples are combined, what is the percentage of water in the new sample?

 A

70 %.

 B

72 %.

 C

68 %.

 D

74 %.

Soln.
Ans: a

If 100 units of both alcohol are combined, there will be 140 units of water in 200 units of the new sample. The percentage of water is $140/200$ × 100 = 70%.


Question 2

Price of sugar is increased by 40%. By what percentage should consumption be reduced so that the expenditure remains same?

 A

$28{4/7}$ %.

 B

$34{1/2}$ %.

 C

$21{4/9}$ %.

 D

$24{5/9}$ %.

Soln.
Ans: a

Let price be Rs. 100/kg and the consumption be 1 kg. The current expenditure is 100 × 1 = Rs. 100. The new price of sugar is 100 + 40 = Rs. 140/kg. Let the new consumption be c kg. Now, if expenditure is to be same we should have 100 = 140 × c, which gives c = 100/140, so the decrease is 1 - $100/140$ = ${140 - 100}/140$ × 100% = ${200/7}$, which is same as: $28{4/7}$%.


Question 3

Mr. X who spends 69% of his salary is able to save Rs. 527. 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 - 69 = 31, so 31% of x = 527, which gives x = $527/31$ × 100 = Rs. 1700.


Question 4

A carton contains 5000 led bulbs, some of them are red, some green and others are blue. How many are green if 6% are red and 4% are blue?

 A

4500.

 B

4600.

 C

4400.

 D

4700.

Soln.
Ans: a

The percentage of green is 100 - (6 + 4) = 90. So number of green bulbs = $90/100$ × 5000 = 4500.


Question 5

If 5% of X + 4% of Y equals 2/3 of the sum of 3% of X and 16% of Y, then the ratio of X to Y is?

 A

$2{2/9}$.

 B

$3{5/8}$.

 C

1.

 D

$4{3/11}$.

Soln.
Ans: a

We can drop the % from both sides and write the given equation as 5X + 4Y = $2/3$ × (3X + 16Y), which is same as 3 × (5X + 4Y) = 2 × (3X + 16Y). Let r = X/Y. Dividing both sides by Y and putting r = X/Y, we get, 3 × (5r + 4) = 2 × (3r + 16), solving for r we get r = ${20/9}$, which is same as: $2{2/9}$.


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Creative Commons License
This Blog Post/Article "Percentages Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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