Percentage - Aptitude MCQ Questions and Solutions with Explanations

81

A dozen pairs of socks quoted at Rs. 180 are available at discount of 20%. How many pairs of socks can be bought for Rs. 48 ?

A) 3 pairs B) 4 pairs C) 2 pairs D) 5 pairs

Discuss

Answer & Solution

Answer: Option B

Solution:

Price after discount
= $$\frac{180 × 80}{100}$$
= Rs. 144
Price of 1 pair of socks
= Rs. $$\frac{144}{12}$$
= Rs. 12
Required number of pairs
= $$\frac{48}{12}$$
= 4 pairs

82

If the population of a town is 64000 and its annual increase is 10%, then its population at the end of 3 years will be :

A) 80000 B) 85184 C) 85000 D) 85100

Discuss

Answer & Solution

Answer: Option B

Solution:

Present population = 64000
1^st year = 66400
2^nd year = 6400 + 640
3^rd year = 6400 + 2 × 640 + 64

Total population after 3 years
= 64000 + 3 × 6400 + 3 × 640 + 64
= 85184

Alternate:
Population after n years
$$\eqalign{ & \Rightarrow {\text{p}}' = {\text{p}}{\left( {1 \pm \frac{{\text{R}}}{{100}}} \right)^{ \pm {\text{n}}}} \cr & {\text{p}}' = 64000{\left( {1 \pm \frac{{10}}{{100}}} \right)^3} \cr & \,\,\,\,\,\,\,\, = 85184 \cr} $$

83

In a village three people contested for the post of village Pradhan. Due to their own interest, all the voters voted and no one vote was invalid. The losing candidate got 30% votes. What could be the minimum absolute margin of votes by which the winning candidate led by the nearest rival, if each candidate got an integral percent of votes ?

A) 4 B) 2 C) 1 D) None of these

Discuss

Answer & Solution

Answer: Option B

Solution:

Let total votes in village = 100
Losing candidate got votes = 30% of 100 = 30 votes
Winner's and nearer rival's votes
= 100 - $$\frac{13}{100}$$ × 100
= 70
∴ If both get equal votes then, it should be, 35
∴ Minimum difference between winner and nearer rival
= (36 - 34) = 2

84

I paid Rs. 27.20 as sales tax on a watch worth Rs. 340. Find the rate of sales tax.

A) 8% B) 9% C) 10% D) 12%

Discuss

Answer & Solution

Answer: Option A

Solution:

Rate of sales tax
$$\eqalign{ & = \left( {\frac{{27.20}}{{340}} \times 100} \right)\% \cr & = 8\% \cr} $$

85

A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English ?

A) 44 B) 45 C) 66 D) 77 E) None of these

Discuss

Answer & Solution

Answer: Option C

Solution:

Total marks obtained by the student
= 55% of 800
= $$\frac{55}{100}$$ × 800
= 440
∴ Marks scored in English
= 15% of 440
= $$\frac{15}{100}$$ × 440
= 66

86

A wrist watch of cost price Rs. 1250 was sold by Sharel for Rs. 1500. What was the profit percent ?

A) 21% B) 24% C) 25% D) 20%

Discuss

Answer & Solution

Answer: Option D

Solution:

Cost price of wrist watch = Rs. 1250
Sale price of wrist watch = Rs. 1500
Profit percent :
$$\eqalign{ & = \left( {\frac{{1500 - 1250}}{{1250}}} \right) \times 100 \cr & = \frac{{250}}{{1250}} \times 100 \cr & = \frac{{25000}}{{1250}} \cr & = 20\% \cr} $$

87

Ms. Pooja invests 13% of her monthly salary, i.e., Rs. 8554 in Mediclaim Policies. Later she invests 23% of her monthly salary on Child Education Policies; also she invests another 8% of her monthly salary on Mutual Funds. What is the total annual amount invested by Ms. Pooja ?

A) Rs. 28952 B) Rs. 43428 C) Rs. 173712 D) Rs. 347424 E) None of these

Discuss

Answer & Solution

Answer: Option A

Solution:

Let Pooja's monthly salary be = Rs. x
Then, 13% of x = 8554
⇒ $$\frac{13x}{100}$$ = 8554
⇒ x = $$\frac{8554 × 100}{13}$$
⇒ x = 65800
Total percentage of salary invested
= (13 + 23 + 8)%
= 44%
∴ Total amount invested monthly
= 44% of Rs. 65800
= Rs. $$\frac{44}{100}$$ × 65800
= Rs. 28952

88

The difference of two numbers is 20% of the larger number. If the smaller number is 20, then the larger number is :

A) 25 B) 45 C) 50 D) 80

Discuss

Answer & Solution

Answer: Option A

Solution:

Let the larger number be x
Then, x - 20 = $$\frac{20}{100}$$x
⇔ x - $$\frac{1}{5}$$x = 20
⇔ $$\frac{4}{5}$$x = 20
⇔ x = 20 × $$\frac{5}{4}$$
⇔ x = 25

89

Two candidates fought an election. One of them got 62% of the total votes and won by 432 votes. What is the total number of votes polled ?

A) 1500 B) 1600 C) 1800 D) Cannot be determined E) None of these

Discuss

Answer & Solution

Answer: Option C

Solution:

Let the total number of votes polled be x
Then, votes polled by other candidate
= (100 - 62)% of x
= 38% of x
∴ 62% of x - 38% of x = 432
⇒ $$\frac{24x}{100}$$ = 432
⇒ x = $$\frac{432 × 100}{24}$$
⇒ 1800

90

If x, y, z are three positive integers such that x is greater then y and y is greater than z, then which of the following is definitely true ?

A) x% of y is greater than y% of z B) y% of x is greater than z% of y C) z% of x is greater than y% of z D) All of these

Discuss

Answer & Solution

Answer: Option D

Solution:

(a) x% of y = $$\frac{xy}{100}$$ and y of z = $$\frac{yz}{100}$$
x > y, y < z
⇒ xy > yz
⇒ $$\frac{xy}{100}$$ > $$\frac{yz}{100}$$
⇒ x% of y > y% of z

(b) y% of x = $$\frac{xy}{100}$$ and z% of y = $$\frac{yz}{100}$$
As proved above, y% of x > z% of y

(c) z% of x = $$\frac{xy}{100}$$ and y% of z = $$\frac{yz}{100}$$
x > y
⇒ xz > yz
⇒ $$\frac{xz}{100}$$ > $$\frac{yz}{100}$$
⇒ z% of x > y% of z