# Percentages Quiz Set 009

### 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%. 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 2020-02-07. Published on: 2016-05-12