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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-6 section-3

Each section contains 100 MCQs on Percentage .
51
Out of two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the greater and smaller number is a and b respectively
According to the question,

Case (i)
a × $$\frac{40}{100}$$ = b × $$\frac{60}{100}$$
2a = 3b
a = $$\frac{3}{2}$$b ..... (i)

Case (ii)
a + b = 150 ..... (ii)
From equation (i) and (ii)
$$\frac{3}{2}$$b + b = 150
5b = 300
b = 60
Value of b = 60 put in equation (i)
a = $$\frac{3}{2}$$ × 60 = 90
Hence, greater number = 90
52
If the total monthly income of 16 persons is Rs. 80800 and the income of one of them is 120% of the average income, them his income is :
Discuss
Answer & Solution
Answer: Option B
Solution:
Average income
= Rs. $$\frac{80800}{16}$$
= Rs. 5050
Hence, required income
= Rs. 5050 × $$\frac{120}{100}$$
= Rs. 6060
53
If three-fifth of sixty percent of a number is 36, the number is :
Discuss
Answer & Solution
Answer: Option A
Solution:
Let the number be x
According to the question,
x × $$\frac{60}{100}$$ × $$\frac{3}{5}$$ = 36
⇒ x = $$\frac{36 × 25}{9}$$
⇒ x = 100
54
A number is first decreased by 10% and then increased by 10%. The number so obtained is 50 less than the original number. The original number is :
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the original number = x
According to the question,
x × $$\frac{90}{110}$$ × $$\frac{110}{100}$$ = (x - 50)
x × $$\frac{99}{100}$$ = x - 50
99x = 100x - 5000
x = 5000
Hence original number = 5000
55
X has twice as much money as that of Y and Y has 50% more money than that of Z. If the average money of all of them is Rs. 110, then the money, which X has is :
Discuss
Answer & Solution
Answer: Option D
Solution:
50% = $$\frac{1}{2}$$
Let Z has 2 units of money
According to the question,
X   :   Y   :   Z
6   :   3   :   2
$$\frac{(6 + 3 + 2)}{3}$$   units = Rs. 110
⇒ 11 units = Rs. 330
    1 unit = Rs. 30
6 units = 30 × 6 = Rs. 180
Hence, X has Rs. 180
56
The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12% then the numbers obtained are equal. The smaller number is :
Discuss
Answer & Solution
Answer: Option B
Solution:
Let the bigger number is a and the smaller number is (520 - a)
According to the question,
a × $$\frac{(100 - 4)}{100}$$   = (520 - a) × $$\frac{(100 + 12)}{100}$$
$$\frac{96a}{100}$$ = (520 - a) $$\frac{112}{100}$$
96a = (520 - a) 112
13a = 3640
a = 280
Hence, bigger number = 280
Smaller number = (520 - 280) = 240
57
Tulsiram's salary is 20% more then that of Kashyap. If Tulsiram saves Rs. 720 which is 4% of his salary, then Kashyap's salary is :
Discuss
Answer & Solution
Answer: Option A
Solution:
Salary of Tulsiram
= Rs. $$\frac{720}{4}$$ × 100
= Rs. 18000
Salary of Kashyap
= 18000 × $$\frac{100}{120}$$
= Rs. 15000
58
The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of students, appeared in the examination to that not appeared in the same examination is :
Discuss
Answer & Solution
Answer: Option D
Solution:
According to the question,
Let the total number of students = 100
Ratio of Boys and Girls =$$\frac{3}{2}$$
Total number of Boy = $$\frac{3}{5} \times 100 = 60$$
Total number of Girl = $$\frac{2}{5} \times 100 = 40$$
30% of boy appeared in exam = 30% of 60 = 18
70% of girl appeared in exam = 70% of 40 = 28
Total number of student appeared in exam = 18 + 28 = 46
Students not appeared in exam = 100 - 46 = 54
$$\therefore \frac{{{\text{Ratio of students appeared in exam}}}}{{{\text{Not appeared in exam}}}}$$
= $$\frac{46}{54}$$
= $$\frac{23}{27}$$
= 23 : 27
59
The value of a machine is Rs. 6250. It decreases by 10% during the first year, 20% during the second year and 30% during the third year, What will be the value of the machine after 3 years ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Current value of machine
$$\eqalign{ & = 6250 \times \frac{{90}}{{100}} \times \frac{{80}}{{100}} \times \frac{{70}}{{100}} \cr & = {\text{Rs}}{\text{. 3150}} \cr} $$
60
A person gave 20% of his income to his elder son, 30% of remaining to the younger son and 10% of the balance, he donate to a trust. He is left with Rs. 10080. His income was :
Discuss
Answer & Solution
Answer: Option D
Solution:
Let Person income is 100x
20% his income give to elder son, i.e. 20x
Remaining income 100x -20x = 80x
Now 30% of his remaining income given to his younger son
i.e. 30% of 80x = 24x
Remain saving is 80x - 24x = 56x
Now 10% of his remaining income he donated to a trust
i.e. 10% of 56x = 5.6x
Remain income = 56x - 5.6x = 50.4x
According to question
50.4x = 10080
x = $$\frac{{10080}}{{50.4}}$$ = 200
Person income = 100 x 200 = Rs. 20000