# Percentages Quiz Set 002

### Question 1

The age of Mr. X is 40% more than Mr. Y's age which is 20 years at present. By what percent is Y's age less than Mr. X's age?

A

\$28{4/7}\$ %.

B

\$34{1/2}\$ %.

C

\$21{4/9}\$ %.

D

\$24{5/9}\$ %.

Soln.
Ans: a

Age of Mr. X is 20 + \${40 × 20}/100\$ = 28 years. Mr. Y's age is less than Mr. X's age by \${40 × 20}/100\$ = 8 years. In terms of percentage, it is \$8/28\$ × 100 = \${200/7}\$, which is same as: \$28{4/7}\$.

### Question 2

A carton contains 3000 led bulbs, some of them are red, some green and others are blue. How many are green if 9% are red and 5% are blue?

A

2580.

B

2680.

C

2480.

D

2780.

Soln.
Ans: a

The percentage of green is 100 - (9 + 5) = 86. So number of green bulbs = \$86/100\$ × 3000 = 2580.

### Question 3

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 4

The service tax is 5%. A person receives a telephone bill amounting to Rs. 840. How much was the bill excluding tax?

A

Rs. 800.

B

Rs. 810.

C

Rs. 790.

D

Rs. 820.

Soln.
Ans: a

Let the calls be for Rs. x. The total bill is x + 5% of x = \${21x}/20 = 840\$, which gives x = Rs. 800.

### Question 5

If 50% of X is Y, then Y% of 50 is?

A

25 % of X.

B

35 % of X.

C

15 % of X.

D

45 % of X.

Soln.
Ans: a

We have Y = \$(50 × X)/100\$, so Y% of 50 is same as \$(50 × X)/100\$% × 50, which can be rearranged to \$(50 × 50)/100\$% × X = 25% of X.