# Percentages Quiz Set 006

### Question 1

A carton contains 3000 led bulbs, some of them are red, some green and others are blue. How many are green if 19% are red and 15% are blue?

A

1980.

B

2080.

C

1880.

D

2180.

Soln.
Ans: a

The percentage of green is 100 - (19 + 15) = 66. So number of green bulbs = \$66/100\$ × 3000 = 1980.

### Question 2

The age of Mr. X is 100% 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

50 %.

B

51 %.

C

49 %.

D

\$17{2/3}\$ %.

Soln.
Ans: a

Age of Mr. X is 20 + \${100 × 20}/100\$ = 40 years. Mr. Y's age is less than Mr. X's age by \${100 × 20}/100\$ = 20 years. In terms of percentage, it is \$20/40\$ × 100 = 50.

### Question 3

A clerk multiplied a number by 5/3 instead of 3/5. What is the percentage of error?

A

64 %.

B

66 %.

C

62 %.

D

68 %.

Soln.
Ans: a

If the actual figure is x, the error is \${5x}/3\$ - \${3x}/5\$ = \${5^2x - 3^2x}/{5 × 3}\$ = \${16x}/15\$, so %-error = \${(16x)/15}/{(5x)/3}\$ × 100 = \${16 × 3}/{15 × 5}\$ × 100 = 64%.

### Question 4

The service tax is 5%. A person receives a telephone bill amounting to Rs. 210. How much was the bill excluding tax?

A

Rs. 200.

B

Rs. 210.

C

Rs. 190.

D

Rs. 220.

Soln.
Ans: a

Let the calls be for Rs. x. The total bill is x + 5% of x = \${21x}/20 = 210\$, which gives x = Rs. 200.

### Question 5

If 65 is m% of p, and B is p% of m, then what is B?

A

65.

B

75.

C

55.

D

85.

Soln.
Ans: a

Let 65 = A, so A = \$m/100\$ × p = \$p/100\$ × m. = B, so A and B are same. 