# Percentages Quiz Set 011

### Question 1

The number of online customers increased from 1825 to 2875. What is the percentage increase?

A

\$57{39/73}\$ %.

B

\$59{25/72}\$ %.

C

\$55{2/75}\$ %.

D

\$58{23/25}\$ %.

Soln.
Ans: a

The increase is 2875 - 1825 = 1050. The percentage increase is \$1050/1825\$ × 100 = \${4200/73}\$, which is same as: \$57{39/73}\$.

### Question 2

If 4% of A + B = 9% of A - B, then what percent of B is A?

A

\$2{3/5}\$ %.

B

\$4{1/2}\$ %.

C

\$1{1/7}\$ %.

D

4 %.

Soln.
Ans: a

We have been given 4% of A + B = 9% of A - B, so \${A + B}/{A - B}\$ = \$9/4\$. By componendo and dividendo, \${(A + B) + (A - B)}/{(A + B) - (A - B)}\$ = \${9 + 4}/{9 - 4}\$, which gives \$A/B\$ = \$13/5\$ = \${13/5}\$, which is same as: \$2{3/5}\$%

### Question 3

The service tax is 5%. A person receives a telephone bill amounting to Rs. 630. How much was the bill excluding tax?

A

Rs. 600.

B

Rs. 610.

C

Rs. 590.

D

Rs. 620.

Soln.
Ans: a

Let the calls be for Rs. x. The total bill is x + 5% of x = \${21x}/20 = 630\$, which gives x = Rs. 600.

### Question 4

A shopkeeper sells 56% items of his stock and still has 748 items left with him. How many items did he have at the beginning?

A

1700 items.

B

1800 items.

C

1600 items.

D

1900 items.

Soln.
Ans: a

Let the items be x. His % stock left is 100 - 56 = 44, so 44% of x = 748, which gives x = \$748/44\$ × 100 = 1700 items.

### Question 5

A clerk multiplied a number by 2/1 instead of 1/2. What is the percentage of error?

A

75 %.

B

77 %.

C

73 %.

D

79 %.

Soln.
Ans: a

If the actual figure is x, the error is \${2x}/1\$ - \${1x}/2\$ = \${2^2x - 1^2x}/{2 × 1}\$ = \${3x}/2\$, so %-error = \${(3x)/2}/{(2x)/1}\$ × 100 = \${3 × 1}/{2 × 2}\$ × 100 = 75%. This Blog Post/Article "Percentages Quiz Set 011" 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