Quantitative Aptitude

Percentage

482 Questions
All Successive Percentage Changes 177 Population Growth and Depreciation 103 Fractional Base Multiplication 58 Reverse More-Than and Less-Than Comparisons 38 Income, Expenditure, and Savings 33 Price and Consumption 30 Election Votes and Margins 10 Fake Weight and Faulty Measures 10 Venn Diagram Percentages 9 Passing Marks Shifts 5 Fresh vs. Dry Mixture 2

Percentage Questions

Multiple choice

In order to fund a community garden project at the junction of two roads leading to two villages namely Riverdale and Walkersville, the organizing committee decided that each household in these villages would contribute a fixed amount of money. After collecting donations from Riverdale residents, which make up 80% of the total population of both the villages, the committee found that 64% of the required amount had been raised, averaging $400 per household. If the committee aims to gather the exact amount needed to establish the community garden, what should be the average donation from each household in Walkersville?
  1. $350
  2. $450
  3. $700
  4. $900
  5. $1,200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let T be the total required amount and P be the total population. Riverdale (0.8P) raised 0.64T. Average donation in Riverdale = 0.64T / 0.8P = 0.8 * (T/P) = 400. Thus, T/P = 500. The remaining 0.36T must be raised by 0.2P. Average donation in Walkersville = 0.36T / 0.2P = 1.8 * (T/P) = 1.8 * 500 = 900.

Multiple choice

According to a survey, the adult population of City X was 180,000 in 2018. A survey was conducted among a randomly chosen sample of adults aged 18 years or greater about their preference for sports or leisure activities. The table below summarizes the results: Category Sports Leisure No Preference 18-30 years old 280 150 70 31-45 years old 230 140 80 46-60 years old 210 130 70 Over 60 years 100 50 40 Which of the following is closest to the difference between the percentage of adults aged 18–45 who preferred sports and the percentage of adults aged over 46 who preferred sports?

  1. 2%

  2. 4%

  3. 7%

  4. 9%
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Directions: The question below consists of a question and two statements, labeled (1) and (2), in which certain data is given. Decide whether the data given in the statements is sufficient for answering the question. Using the data provided in the statements and knowledge of mathematics and everyday facts, mark the following: What is the average marks of the students in an examination? 1. 70 percent of the students score an average of 60, and the other 30 percent score an average of 85. 2. Each student in the examination scored at least 45, but nobody scored over 95.

  1. If statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question

  2. If statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question

  3. If both statements (1) and (2) together are sufficient to answer the question, but neither statement alone is sufficient

  4. If each statement alone is sufficient to answer the question

  5. If statements (1) and (2) together are not sufficient to answer the question and an additional data, that is specific to the problem, is needed
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement (1) provides the weighted average: (0.7 * 60) + (0.3 * 85) = 42 + 25.5 = 67.5. This is sufficient. Statement (2) provides bounds but not the distribution, so it is insufficient.

Multiple choice

Bob works in a supermarket and his daily income is decided by the number of items sold by him. The number of items sold by him is equal to the difference between the number of items delivered to the store and the number of items left in the store. By what percent will his salary increase if there is an increase in both the number of delivered items to the store and the number of items left in the store? (1) There is an increase of 10% in the number of items left in the store. (2) The number of items delivered to the store increased from 2,000 to 2,200.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Directions: The question below consists of a question and two statements numbered (1) and (2). You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and give answer. If the price of a magazine is to be doubled, by what percent will the number of magazines sold have to decrease? (1) The current price of the magazine is \$1.00. (2) For every \$0.25 increase in price, the number of magazines sold will decrease by 10 percent of the number sold at the current price.

  1. if statement (1) alone is sufficient but statement (2) alone is not

  2. if statement (2) alone is sufficient but statement (1) alone is not

  3. if both (1) and (2) together are sufficient but none of them alone is sufficient

  4. if both independently are sufficient

  5. if both statements (1) and (2) together are not sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement 1 gives the current price. Statement 2 gives the rate of change. Both are needed to calculate the specific percentage decrease required when the price doubles.

Multiple choice

Directions: The question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements are sufficient to answer the question. Using the data, mark your answer as What is the percentage of profit on the sale of 50 books? I. The cost price of each took is Rs.100. II. The sale price of each book is Rs. 25.

  1. if statement I alone is sufficient to answer the question

  2. if statement II alone is sufficient to answer the question

  3. if both statements I and II are sufficient to answer the question, but neither statement alone is sufficient

  4. if both statements I and II together are not sufficient to answer the question and additional data is required
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit percentage requires both cost price and selling price. Statement I gives only cost price, statement II gives only selling price, so neither alone suffices. Together they allow calculating profit percentage, making option C correct.

Multiple choice

In a city, 50% of the population can speak in exactly one language among Hindi, English and Tamil, while 40% of the population can speak in at least two of these three languages. Moreover, the number of people who cannot speak in any of these three languages is twice the number of people who can speak in all these three languages. If 52% of the population can speak in Hindi and 25% of the population can speak exactly in one language among English and Tamil, then the percentage of the population who can speak in Hindi and in exactly one more language among English and Tamil is _______________.

  1. 22%

  2. 25%

  3. 30%

  4. 38%
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Directions: The following problem contains a question and three statements giving certain data. You have to decide whether the data given in the statements is sufficient for answering the question and then mark the correct option accordingly. A shopkeeper sells an item at 5% discount. Find his percentage profit on this item. I. If the item had been sold for Rs. 50 less, there would have been no profit no loss. II. Had the item been sold for Rs. 50 more, the profit would have been 10%. III. He had purchased this item at Rs. 500.

  1. Only I or III

  2. Any one of them

  3. Either I or II

  4. Any two of them

  5. None
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Directions: Study the following information carefully to answer the question given below. Place Percentage of Persons Using Public Transport Out of the Persons Using Public Transport, Percentage of Males Out of the Persons Using Public Transport, Percentage of Persons Using Bus A 55% 60% 20% B 60% 50% 30% C 70% 55% 40% D 55% 40% 40% E 80% 60% 50% F 70% 70% 30% G 50% 80% 30%

If the populations of places A and B are in the ratio of 2 : 3, then the number of males using public transport in place A is what percent of the number of persons using bus in place B?

  1. 122.22%

  2. 141.66%

  3. 151.25%

  4. 176.25%

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let population A = 2x, B = 3x. Public transport users in A = 0.55 * 2x = 1.1x. Males in A = 0.60 * 1.1x = 0.66x. Public transport users in B = 0.60 * 3x = 1.8x. Bus users in B = 0.30 * 1.8x = 0.54x. Percentage = (0.66x / 0.54x) * 100 = 122.22%.

Multiple choice

Passage

Directions: Study the following information carefully to answer the question given below. Place Percentage of Persons Using Public Transport Out of the Persons Using Public Transport, Percentage of Males Out of the Persons Using Public Transport, Percentage of Persons Using Bus A 55% 60% 20% B 60% 50% 30% C 70% 55% 40% D 55% 40% 40% E 80% 60% 50% F 70% 70% 30% G 50% 80% 30%

If the populations of places A, B and C are in ratio of 1 : 2 : 4, then what percent of total persons in all three places A, B and C use public transport?

  1. 65%

  2. 74%

  3. 78%

  4. 79%

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total population be 1+2+4 = 7 units. Persons using public transport: A=0.55*1=0.55, B=0.6*2=1.2, C=0.7*4=2.8. Total = 0.55+1.2+2.8 = 4.55. Percentage = (4.55/7) * 100 = 65%.

Multiple choice

Passage

Directions: Study the following information carefully to answer the question given below. Place Percentage of Persons Using Public Transport Out of the Persons Using Public Transport, Percentage of Males Out of the Persons Using Public Transport, Percentage of Persons Using Bus A 55% 60% 20% B 60% 50% 30% C 70% 55% 40% D 55% 40% 40% E 80% 60% 50% F 70% 70% 30% G 50% 80% 30%

If the population of place D is 80% more than that of place C, then what percent of persons together from places C and D use bus as the mode of transport?

  1. 15.4%

  2. 21.4%

  3. 17.3%

  4. 24.1%

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Passage

Directions: Study the following information carefully to answer the question given below. Place Percentage of Persons Using Public Transport Out of the Persons Using Public Transport, Percentage of Males Out of the Persons Using Public Transport, Percentage of Persons Using Bus A 55% 60% 20% B 60% 50% 30% C 70% 55% 40% D 55% 40% 40% E 80% 60% 50% F 70% 70% 30% G 50% 80% 30%

If the populations of places D, E, F and G are in the ratio of 3 : 7 : 9 : 11, then what percent of females out of the total population of places D, E, F and G use public transport?

  1. 17.25%

  2. 18.50%

  3. 19.66%

  4. 20.73%

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Passage

Directions: Study the table carefully and answer the following question. Place Percentage of People Eligible to Vote out of Total Population Percentage of People Who Voted out of Total People Eligible to Vote Percentage of Senior Citizens Who Voted out of Total Senior Citizens A 72% 80% 45% B 68% 55% 30% C 55% 30% 20% D 60% 50% 75% E 45% 60% 30% Assume that all senior citizens are eligible to vote.

If the ratio of senior citizens to people eligible to vote in place B was 1 : 4, out of the total population, what percent population were senior citizens who voted?

  1. 4.1%

  2. 4.4%

  3. 4.8%

  4. 5.1%

  5. 6.2%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Place B: Eligible = 68% of total. Voted = 55% of eligible. Senior citizens who voted = 30% of total senior citizens. Ratio of senior citizens to eligible = 1:4. Let total population = 100. Eligible = 68. Senior citizens = 68/4 = 17. Senior citizens who voted = 30% of 17 = 5.1. Percentage of total population = 5.1%.

Multiple choice

Passage

Directions: Study the table carefully and answer the following question. Place Percentage of People Eligible to Vote out of Total Population Percentage of People Who Voted out of Total People Eligible to Vote Percentage of Senior Citizens Who Voted out of Total Senior Citizens A 72% 80% 45% B 68% 55% 30% C 55% 30% 20% D 60% 50% 75% E 45% 60% 30% Assume that all senior citizens are eligible to vote.

If the populations of places A, B and C are in the ratio 1 : 2 : 3, what percent of people out of the total people from places A, B and C were eligible to vote?

  1. 56.67%

  2. 60.50%

  3. 61.67%

  4. 62.17%

  5. 64.25%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let populations be A=100, B=200, C=300. Eligible voters: A = 72% of 100 = 72. B = 68% of 200 = 136. C = 55% of 300 = 165. Total eligible = 72 + 136 + 165 = 373. Total population = 600. Percentage = 373 / 600 = 62.166...% = 62.17%.