Percentage - Aptitude MCQ Questions and Solutions with Explanations

51

What is 20% of 25% of 300 ?

A) 150 B) 60 C) 45 D) 15

Discuss

Answer & Solution

Answer: Option D

Solution:

Required answer
= 300 × $$\frac{1}{4}$$ × $$\frac{1}{5}$$
= 15

52

0.001 is equivalent to :

A) 10% B) 1% C) 0.01% D) 0.1%

Discuss

Answer & Solution

Answer: Option D

Solution:

Required percentage :
= 0.001 × 100
= 0.1%

53

What percentage of 3.6 kg is 72 gms. ?

A) 32% B) 22% C) 12% D) 2%

Discuss

Answer & Solution

Answer: Option D

Solution:

Required percentage :
= $$\frac{72}{3.6 × 1000}$$ × 100
= 2%

54

The tax imposed on an article is decreased by 10% and its consumption is increased by 10%. Find the percentage change in revenue from it.

A) 10% increase B) 2% decrease C) 1% decrease D) 11% increase

Discuss

Answer & Solution

Answer: Option C

Solution:

Net % effect on revenue
= - 10 + 10 - $$\frac{10 × 10}{100}$$
= - 1
Hence % reduction in revenue = 1%

55

The length of a rectangle is increased by 10% and breadth decreased by 10% Then the area of the new rectangle is :

A) Neither decreased nor increased B) Increased by 1% C) Decreased by 1% D) Decreased 10%

Discuss

Answer & Solution

Answer: Option C

Solution:

Decrease in area
$$\eqalign{ & = \frac{{{x^2}}}{{100}}\% \cr & = \frac{{{{\left( {10} \right)}^2}}}{{100}} \cr & = 1\% \cr} $$

56

The price of an article was first increased by 10% and then again by 20%. If the last increased price was Rs. 33, the original price was :

A) Rs. 30 B) Rs. 27.50 C) Rs. 26.50 D) Rs. 25

Discuss

Answer & Solution

Answer: Option D

Solution:

Let the original price = 100x
Article price 1st increased by 10%. i.e price of article become 100x + 100x of 10% = 110x
And then the article price increased by 20% i.e. price of article become 110x + 110x of 20% = 132x
According to the question,
132x = 33
⇒ x = $$\frac{33}{132}$$
⇒ x = $$\frac{1}{4}$$
Therefore Original price of Article is
= 100 × $$\frac{1}{4}$$
= Rs. 25

57

The price of a commodity rises from Rs. 6 per kg to Rs. 7.50 per kg. If the expenditure cannot increase, the percentage of reduction in consumption is :

A) 15% B) 20% C) 25% D) 30%

Discuss

Answer & Solution

Answer: Option B

Solution:

Gain in price = 7.5 - 6 = 1.5
Required percentage reduction
= $$\frac{1.5}{7.5}$$ × 100
= 20%

58

What % of a day is 30 minutes ?

A) 2.83 B) 2.083 C) 2.09 D) 2.075

Discuss

Answer & Solution

Answer: Option B

Solution:

∴ Required %
= $$\frac{30}{24 × 60}$$ × 100
= 2.083

59

A scored 72% in a paper with a maximum marks of 900 and 80% in another paper with a maximum marks of 700. If the result is based on the combined percentage of two papers, the combined percentage is :

A) 75.5% B) 76% C) 76.5% D) 77%

Discuss

Answer & Solution

Answer: Option A

Solution:

900 × 72% = 648
700 × 80% = 560
Total scored marks = 1208
= % combined marks
= $$\frac{1208}{(900 + 700)}$$ × 100
= 75.5%

60

In an examination a candidate must secure 40% marks to pass. A candidate, who gets 220 marks, fails by 20 marks. Find the maximum marks for the examination ?

A) 1200 B) 300 C) 600 D) 450

Discuss

Answer & Solution

Answer: Option C

Solution:

According to the question,
Pass marks = (220 + 20) = 240
40% → 240
∴ Maximum marks (100%) :
= $$\frac{240}{40}$$ × 100
= 600