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Percentage - Aptitude MCQ Questions and Solutions with Explanations

Percentage MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Percentage with easy and logical explanations. Percentage MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-7 section-2

Each section contains 100 MCQs on Percentage .
61
31% of employees pay tax in the year 2008. Non-tax paying employees are 20700. The total number of employees is :
Discuss
Answer & Solution
Answer: Option C
Solution:
Percentage of Non-tax paying employees
= (100 - 31)%
= 69%
69% of total employees = 20700
Total employees
= $$\frac{20700}{69}$$ × 100
= 30000
62
If 30% of A is added to 40% of B, the answer is 80% of B. What percentage of A is B ?
Discuss
Answer & Solution
Answer: Option D
Solution:
According to the question,
$$\frac{30A}{100}$$ + $$\frac{40B}{100}$$
= $$\frac{80B}{100}$$
30A = 40B
⇒ 3A = 4B
⇒ A = $$\frac{4B}{3}$$
Required % = $$\frac{B}{A}$$ × 100
= $$\frac{B × 3}{4B}$$ × 100
= 75%
63
A village lost 12% of its goats in a flood and 5% of remainder died from diseases. If the number left now is 8360. What was the original number before the flood ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Let us consider total number of goats = 1000x
∴ After loss of 12% of goat in flood, remain goats is
= 1000x - 12% of 1000x
= 1000x - 120x
= 880x
Now 5% goats are died from diseases, Remain goats is
= 880x - 5% of 880x
= 880x - 44x
= 836x
Total number of remain goats = 8360
∴ 836x = 8360
⇒ x = 10
∴ Number of Goats = 1000 × 10 = 10000
Alternate Solution:
Let the number of goats before flood be x
According to the question,
$$\eqalign{ & {\text{x}} \times \frac{{88}}{{100}} \times \frac{{95}}{{100}} = 8360 \cr & \Rightarrow x = \frac{{8360 \times 100 \times 100}}{{88 \times 95}} \cr & \Rightarrow x = 10000 \cr} $$
64
If 'basis points' are defined so that 1 percent is equal to 100 basis points, then by how many basis points is 82.5 percent greater than 62.5 percent.
Discuss
Answer & Solution
Answer: Option D
Solution:
Difference of %
= 82.5% - 62.5%
= 20%
Now, 1% = 100 points
So, 20% = 20 × 100 = 2000 points
65
0.01 is what percent of 0.1 ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Required percentage
$$\eqalign{ & = \frac{{0.01}}{{0.1}} \times 100 \cr & = 10\% \cr} $$
66
One-fifth of half of a number is 20. Then 20% of that number is :
Discuss
Answer & Solution
Answer: Option D
Solution:
Let the number is = x
According to the question,
$$\frac{1}{5}$$ of $$\frac{1}{2}$$ of x = 20
$$\frac{1}{5}$$ × $$\frac{1}{2}$$ × x = 20
x = 200
∴ 20% of 200 :
= $$\frac{20}{100}$$ × 200 = 40
67
In a class, the number of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the class, the ratio of the number of boys to that of the girls is :
Discuss
Answer & Solution
Answer: Option B
Solution:
20% = $$\frac{1}{5}$$ = $$\frac{{6\,\, \to \,\,{\text{Girls}}}}{{5\,\, \to \,\,{\text{Boys}}}}$$
Boys : Girls
5 : 6
According to the question,
(5 + 6) units = 66
11 units = 66
1 unit = 6
Hence Boys = 6 × 5 = 30
           Girls = 6 × 6 = 36
The number of girls when 4 is admitted
= (36 + 4)
= 40
Required ratio :
= 30 : 40
= 3 : 4
68
If P% of P is 36, then P is equal to :
Discuss
Answer & Solution
Answer: Option C
Solution:
According to the question,
P × $$\frac{P}{100}$$ = 36
⇒ P2 = 3600
⇒ P = 60
69
If A is equal to 20% of B and B is equal to 25% of C. Then what percentage of C equal to A ?
Discuss
Answer & Solution
Answer: Option C
Solution:
A = 20% of B
A = $$\frac{1}{5}$$ B
$$\frac{A}{B} = \frac{1}{5}$$ ----(i)
B = 25% of C
B = $$\frac{1}{4}$$ C
$$\frac{B}{C} = \frac{1}{4}$$ ----(ii)
Multiply (i) and (ii) We get
$$\frac{A}{B} \times \frac{B}{C} = \frac{1}{5} \times \frac{1}{4}$$
$$\frac{A}{C} = \frac{1}{{20}}$$
Percent of C is equal to A
$$ = \frac{1}{{20}} \times 100 = 5\% $$
70
The marked price of an article is Rs. 5000 but due to festive offer a certain percent of discount is declared. Mr. x availed this opportunity and bought the article at reduced price. He then sold it at Rs. 5000 and thereby made a profit of $$11\frac{1}{9}$$%. The percentage of discount allowed was ?
Discuss
Answer & Solution
Answer: Option A
Solution:
We find a percentage value of so we take or not take real value does not matters
% Profit = $$11\frac{1}{9}$$% = $$\frac{1}{9}$$
$$\frac{{1\,\, \to \,\,{\text{Profit}}}}{{2\,\, \to \,\,{\text{CP}}}}$$
So, SP = 10
Means in previous at the time of beginning the discount is 1 unit in 10 units MP
So, discount is = $$\frac{1}{10}$$ × 100 = 10%