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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-5 section-2

Each section contains 100 MCQs on Percentage .
41
A's salary is 50% more than that of B. Then B's salary is less than that of A by :
Discuss
Answer & Solution
Answer: Option B
Solution:
Let salary of B = 100
∴ Salary of A = 100 + 50% of 100 = 150
B salary is lesser then A = 150 - 100 = 50
Required %
= $$\frac{50}{150}$$ × 100 = $$33\frac{1}{3}$$%
42
If 60% of A = 30% of B, B = 40% of C and C = x% of A, then value of x is :
Discuss
Answer & Solution
Answer: Option D
Solution:
According to the question,
A : B : C
1 : 2 : 5 ( 60A = 30B)
$$\frac{A}{B}$$ = $$\frac{1}{2}$$
C = 5
A = 1
Required answer = $$\frac{5}{1}$$ × 100 = 500%
43
In an examination 70% of the candidate passed in English, 80% passed in Mathematics, 10% failed in both subjects. If 144 candidates passed in both, the total number of candidates was :
Discuss
Answer & Solution
Answer: Option C
Solution:
Failed candidates in English = (100 - 70) = 30%
Failed candidates in Mathematics = (100 - 80) = 20%
Candidates who fail in both subject = 10% Candidates who only fail in English = 30 - 10 = 20%
Candidates who only fail in Mathematics = 20 - 10 = 10%
Percentage of passed students in both subject
= 100 - (Candidates who only fail in English + Candidates who only fail in Mathematics + Candidates who fail in both subject)
= 100 - (20 + 10 + 10)
= 60%
According to the question,
60% of students = 144
Total students :
= $$\frac{144}{60}$$ × 100
= 240
44
Raman's salary is increased by 5% this year. If his present salary is Rs. 1806, the last year's salary was :
Discuss
Answer & Solution
Answer: Option A
Solution:
Required last year salary
= $$\frac{1806}{100 + 5}$$   × 100
= Rs. 1720
45
If 80% of A = 50% of B and B = x% of A, then the value of x is :
Discuss
Answer & Solution
Answer: Option C
Solution:
80% of A = 50% of B
⇒ $$\frac{80}{100}$$A = $$\frac{50}{100}\,$$B
⇒ 8A = 5B
⇒ A = $$\frac{5}{8}$$B
Put value of A in given equation,
B = x% of A
⇒ B = $$\frac{x}{100}$$ × $$\frac{5}{8}\,$$B
⇒ x = $$\frac{100 × 8}{5}$$
⇒ x = 160
46
The percentage of metals in a mine of lead ore is 60%. Now the percentage of silver is $$\frac{3}{4}$$% of metals and the rest is lead. If the mass of ore extracted from this mine is 8000 kg, the mass (in kg.) of lead is :
Discuss
Answer & Solution
Answer: Option B
Solution:
Mass of lead ore = 8000 kg
⇒ Mass of metal in lead ore
= 60% of 8000
= 4800 kg
⇒ Mass of silver in metal
= $$\frac{3}{4}$$% of 4800
= 36 kg
⇒ Mass of lead in ore
= 4800 - 36
= 4764 kg
47
If 120 is 20% of a number, then 120% of that number will be :
Discuss
Answer & Solution
Answer: Option D
Solution:
Let the number = x
According to the question,
x × $$\frac{20}{100}$$ = 120
x = 600
Required answer
= 600 × $$\frac{120}{100}$$ = 720
Alternate
20% represents → 120
                    1% → $$\frac{120}{20}$$
So, 120% = $$\frac{120}{20}$$ × 120
                 = 720
48
498 is 17% less than a number then the number is :
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the number = x
According to the question,
⇒ x - $$\frac{17x}{100}$$ = 498
⇒ 100x - 17x = 49800
⇒ 83x = 49800
⇒ x = $$\frac{49800}{83}$$ = 600
49
If radius of a circle is increased by 5%, then the increase in it's area is :
Discuss
Answer & Solution
Answer: Option A
Solution:
Quicker approach
$$ \uparrow $$   in A = a + b + $$\frac{ab}{100}$$
Here a = b = 5%
$$ \uparrow $$   in A :
$$\eqalign{ & = \left( {5 + 5 + \frac{{5 \times 5}}{{100}}} \right)\% \cr & = 10.25\% \cr} $$
50
If 60% of A's income is equal to 75% of B's income, then B's income is equal to x% of A's income. The value of x is :
Discuss
Answer & Solution
Answer: Option C
Solution:
According to the question,
⇒ 60 × $$\frac{A}{100}$$ = 75 × $$\frac{B}{100}$$
⇒ 4A = 5B
⇒ B = $$\frac{4}{5}$$A
⇒ A × $$\frac{x}{100}$$ = B (given)
⇒ A × $$\frac{x}{100}$$ = $$\frac{4}{5}$$A
⇒ x = 80