# Percentages Quiz Set 016

### 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.