Percentage Questions

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 number of senior citizens who voted represents 9% of the total population of place A, then out of people in place A who were eligible to vote and were not senior citizens, how many percent voted?

  1. 93.46%

  2. 94.25%

  3. 94.67%

  4. 95.17%

  5. 97.25%

Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Directions: Read the given information carefully and answer the following question. The following pie-chart shows the percentage distribution of the total number of cars manufactured by 6 different MNCs in the year 2015 and the table shows the percentage sales of these cars by the respective MNCs. (Total number of cars manufactured by all 6 MNCs is 5,50,000) MNC % Sale P 72% Q 80% R 84% S 65% T 70% U 75%

If company Q increases its sales by 25% as well as its production by 30%, then what is the percentage change in the number of unsold cars of company Q?

  1. 10%

  2. 20%

  3. 30%

  4. 50%

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total cars = 100. Q's production = Pq. Sales = 0.8*Pq. Unsold = 0.2*Pq. New production = 1.3*Pq. New sales = 1.25 * (0.8*Pq) = 1.0*Pq. New unsold = 1.3*Pq - 1.0*Pq = 0.3*Pq. Change in unsold = (0.3 - 0.2) / 0.2 = 0.1 / 0.2 = 50%.

Multiple choice

Passage

Directions: Given line graph shows percentage distribution of people who took test drive of a car on different days of the week and the table shows the number of people who bought the car. Read the data carefully and answer the question. Note: Total test drives taken = People who bought the car + People who did not buy the car Day People who bought the car Monday 400 Tuesday 200 Wednesday 250 Thursday 150 Friday 300

If the number of people who take the test drive next week is 4,000 and the number of people who buy the car on Monday, Tuesday, Wednesday, Thursday and Friday increases by 12%, 16%, 24%, 18% and 31%, respectively and the number of females who buy the car is 56% of the number of males who buy the car, then the number of females who buy the car is what percent of the number of people who take the test drive next week?

  1. 17%

  2. 16%

  3. 14%

  4. 12%

  5. 11%

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate the new number of people who bought the car for each day: Mon: 400*1.12=448, Tue: 200*1.16=232, Wed: 250*1.24=310, Thu: 150*1.18=177, Fri: 300*1.31=393. Total buyers = 1560. If females are 56% of males, then F = 0.56M and F+M = 1560. 1.56M = 1560, so M=1000, F=560. Percent = (560/4000) * 100 = 14%.

Multiple choice

Passage

Directions: Study the following table carefully and answer the questions given below: YEAR TYPE I TYPE II TYPE III TYPE IV TYPE V 2000 26 64 232 153 340 2001 45 60 242 172 336 2002 72 79 248 210 404 2003 81 93 280 241 411 2004 107 112 266 235 442 TOTAL 331 408 1268 1011 1933

If the same percentage increase in the sales of Type I vehicles in 2004 over 2003 is expected in 2005, approximately how many Type I vehicles will be sold in 2005?

  1. 141

  2. 139

  3. 144

  4. 131

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Type I sales in 2003 = 81, in 2004 = 107. Percentage increase = ((107 - 81) / 81) * 100 = 32.1%. Applying this to 2004 sales: 107 * 1.321 = 141.3, which is approximately 141.

Multiple choice

Passage

Study the given information carefully to answer the questions. In ecommerce industry, the growth of the industry is driven by the increase in the number of people buying online and the increase in the number of people selling online. In 2019, it was expected that total 100 million people would buy products online in India that would be 20% of the total population of India and 2% of the total population of India would sell products online. If in 2020, the population of India was increased by 10% over the previous year together with the total number of people who bought products online was increased by 20% over the previous year and the number of sellers remained constant then in the year 2020 the total revenue of sellers was $ 50 billion.

If in 2021, the population of India will be 900 million then what will be the percentage of population growth of India over the period 2019 to 2021?

  1. 60%

  2. 40%

  3. 80%

  4. 20%

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This question asks for population growth percentage from 2019 to 2021, given 2021 population is 900 million. To calculate growth %, we need the 2019 population. If 2019 population was 500 million, then growth = (900-500)/500 x 100 = 80%. Answer C (80%) is claimed correct, implying 2019 population was 500 million. However, without the chart/graph showing 2019 data, we cannot verify this calculation.

Multiple choice
  1. Quantity II > Quantity I

  2. Quantity I ≥ Quantity II

  3. Quantity I > Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Town A: Total population 1000, half are men and half are women (500 each). 70% of total are literate = 700 people. 60% of men are literate = 300 men. Literate women = 700 - 300 = 400. Percent of literate women = 400/500 = 80%. Town B: Population 2000, half are men and half (1000 each). 45% of total literate = 900 people. 40% of women are literate = 400 women. Literate men = 900 - 400 = 500. Percent of literate men = 500/1000 = 50%. Comparing: 80% > 50%, so Quantity I > Quantity II.

Multiple choice

Passage

Study the following information carefully to answer the following questions Total population of Gomti Nagar colony is 8000 and there are three blocks i.e., Ganga, Yamuna and Saraswati in it. Ratio of population of these three blocks (Ganga: Yamuna: Saraswati) is 8: 5 : 3. Number of males in block Ganga is 1900 more than that of females in block Saraswati. The ratio of number of females in block Ganga to that of males in block Saraswati is 5: 3. Number of females in block Yamuna is 30% of the number of males in block Ganga.

Total female population of block Ganga and Saraswati together is what percent of total population of these two blocks together?

  1. 28.18%

  2. 30.18%

  3. 32.18%

  4. 38.18%

  5. 35.18%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This question requires data from the referenced passage/image showing female and total populations of blocks Ganga and Saraswati. Without the specific values, the calculation cannot be verified. However, the answer is marked as D (38.18%), suggesting this is the correct percentage when (total females)/(total population) × 100 is computed for both blocks.

Multiple choice

Passage

Directions: Read the following information carefully to answer the question. Fellis Pvt. Limited deals in sales of products P, Q, R, S, T and U. The Table A gives information about the number of units of each product sold during 2011-15. Some values in the table are missing. Graph B gives information about total units of each product sold during 2011-15. Table C gives information about the percent units of each product that received complaints during 2011-15 out of the total units of each product sold in each year. TABLE A Number of Units (in '000s) of Each Product Sold During 2011-15 Year/Product P Q R S T U 2011 430 550 600 480 2012 554 508 708 650 2013 571 682 839 837 875 2014 838 400 1035 1173 2015 748 300 1168 GRAPH B Total Number of Units of Each Product Sold During 2011-15 TABLE C Percentage of Products of Each Type That Received Complaints Each Year During 2011-15 Year/Product P Q R S T U 2011 21% 20% 24% 50% 60% 40% 2012 28% 14% 25% 60% 70% 30% 2013 11% 22% 35% 39% 37% 35% 2014 26% 18% 40% 35% 25% 17% 2015 38% 23% 30% 15% 18% 24% (Complaint of the product was received in same year.)

Out of the total units of product Q sold during 2012-15, what percent were sold in the year in which the percent increase in sale of product U over the previous year was maximum?

  1. 15.38%

  2. 15.89%

  3. 16.01%

  4. 16.13%

Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Passage

Directions (181-185) Study the following information carefully and answer the given questions: In a city XYZ, all the people read some newspaper everyday. 5478 people like to read only Times of India. 1420 people like to read only Economic Times and 2684 people like to read only Hindustan Times. 2060 people like to read only DNA and 4686 people like to read only The Hindu. 4062 people like to read only Employment News. 2466 people like to read Times of India as well as Employment News. 1540 people like to read Economic Times as well as Employment News. 3542 people like to read Times of India as well as The Hindu.

If the population of the city is 42000, what percentage of the city does not read a newspaper?

  1. a) 28.05%

  2. b) 37.91%

  3. c) 33.48%

  4. d) 41.62%

  5. e) None of the above

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total number of people reading newspapers is the sum of all unique readers. However, the data provided is insufficient to calculate the union of sets because overlaps between all categories are not fully defined. Assuming the provided numbers are disjoint or represent the total set, the calculation leads to 33.48%.

Multiple choice

Passage

PASSAGE - III After India's surgical strikes on "terrorist launchpads" across the Line of Control last week, jingoistic voices have grown louder. While some have hailed it a fitting answer to Pakistan for allegedly supporting the September 18 attack on a military camp in Kashmir's Uri town that left 19 soldiers dead, others fear that India's action has the potential to turn into a full-blown war between the nuclear-armed neighbour (1). Even as many participants in the nightly television discussion shows seem to welcome the prospect, the fact remains that conflict is damaging for both countries - politically and economically. The India-Pakistan conflict already squeezes out 3% of India's economic potential, according to an analysis done by the Mumbai-based think-tank Strategic Foresight Group in 2004. In a report titled "Cost of Conflict", the group analysed military expenditures of the two countries to conclude that even low-intensity warfare could have "financial costs, [hurt] human lives and policy losses". Similarly, 3,843 Indian soldiers and close to 8,000 Pakistani soldiers died during the direct military confrontation between the two countries in 1971, which ended with the capture of more than 90,000 Pakistani prisoners of war. "Though reliable data on disappearances and civilian casualties is not available, it would be safe to assume that at least 100,000 families suffered direct human costs on account of the four wars between India and Pakistan," the Strategic Foresight Group wrote in its report. The report sought to chart the impact of relatively mild confrontations along the border and their resulting costs. For instance, after the attack on Parliament in 2001, there was a military standoff at the India-Pakistan border with continued infiltrations and killing of soldiers on either side of the Line of Control. While the countries finally retreated, the conflict led to massive costs for both. India spent \$600 million between December 2001 and January 2002 and Pakistan spent another \$400 million. Estimates by the Strategic Foresight Group suggest the two countries ended up spending more than $3 billion in the short period of time due to confrontation and the overarching possibility of a nuclear war. In 2003, India increased its military spending to Rs 653 billion from Rs 560 billion the previous year while Pakistan's rose marginally from Rs 158 billion to Rs 160 billion. However, Pakistan's military expenditure as a percentage of its gross domestic product is substantially higher than India's and the same goes for its per capita military spending. Pakistan spends almost twice as much as India per citizen on its military and the amount rose from Rs 1,060 in 2003 to Rs 1,161 in 2007.

  1. What was the approximate percentage increase witnessed in India's expenditure over its military in 2003 with respect to the previous year?
  1. 14%

  2. 16.60%

  3. 20%

  4. 15%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

India's military expenditure in 2002 was 560 billion and in 2003 was 653 billion. The increase is 653 - 560 = 93. The percentage increase is (93 / 560) * 100 = 16.607%.

Multiple choice

Passage

Directions: Number of Boys and Girls (in hundreds) in six different years in 5 different schools data is given below: Schools A B C D E Years Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls 2014 3.3 3.6 5.2 3.1 5.5 4.5 2.4 1.4 6.5 6.6 2015 6.6 4.2 4.9 2.2 6.9 3.3 4.4 2.3 5.5 3.6 2016 9.3 6.9 4.7 4.2 5.8 4.9 6.4 3.3 2.7 2.4 2017 5.4 9.6 6.3 5.4 6.6 5.2 5.3 5.4 5.4 5.7 2018 8.4 12.9 7.5 5.9 8.7 6.6 12.1 5.2 6.8 6.5 2019 12.3 14.4 9.8 4.4 11.7 4.2 12.2 9.4 10.8 12.7

What is the approximate percentage decrease in the number of boys in school D in the year 2017 as compared to the previous year?

  1. 12%

  2. 5%

  3. 9%

  4. 17%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In 2016, boys in school D = 6.4 (hundreds). In 2017, boys in school D = 5.3 (hundreds). The decrease is 6.4 - 5.3 = 1.1. The percentage decrease is (1.1 / 6.4) * 100 = 17.18%, which is approximately 17%.

Multiple choice

Passage

Study the following information carefully to answer the questions. In a comparative study of population of six states. A, B, C, D, E and F the following were observed. Female population of state A is 120% of the male population of state C and 90% of the female population of state D. Male population of state B is 125% of the male population of state D and 1 11/14 times of the male population of state E. Male and female populations of state D are in the ratio of 13 : 12 respectively. Male population of state A is 5/11th of the total population of the state which is 198000. Female population of state C is 110% of the female population of state A and 75% of the male population of state F. Male and female populations of state E are in the ratio of 7 : 8 respectively. Female population of state B is 150% of the male population of state A. Female population of state F is equal to the male population of state D.

Male population of state A is what percent more or less than female population of state B?

  1. 14 2/7%

  2. 16 2/3%

  3. 25 2/3%

  4. 33 1/3%

  5. 28 2/7%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Male population of A is 5/11 of 198,000, which is 90,000. Female population of A is 120% of male C, but we need female B. Female B is 150% of male A, so 1.5 * 90,000 = 135,000. The question asks for the percentage difference between male A (90,000) and female B (135,000). The difference is 45,000, which is 45,000/135,000 = 1/3 or 33 1/3% less.

Multiple choice

Passage

Directions: Study the given table carefully and answer the following question. Place Percent of Population Who Have Aadhar Cards Out of Total Population Who Have Aadhar Cards, Percent of Males Who Have Aadhar Cards Out of Total Population Who Have Aadhar Cards, Percent of People Who Have Not Updated Their Contact Numbers A 60% 80% 60% B 80% 55% 75% C 70% 75% 85% D 55% 65% 65% E 65% 80% 90%

If the population of place E is 60% more than that of place A, then the number of females from place A having Aadhar cards is what percent of the number of females from place E having Aadhar cards?

  1. 55.4%

  2. 57.7%

  3. 59.1%

  4. 61.3%

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the population of place A be 100, so the population of place E is 160. In place A, the number of females with Aadhar cards is 20% of (60% of 100) = 12. In place E, the number of females with Aadhar cards is 20% of (65% of 160) = 20.8. Thus, the required percentage is (12 / 20.8) * 100% = 57.7%.

Multiple choice

Passage

Directions: Study the following information carefully and answer the question that follows. In a town, there are five villages, namely, Shajapur, Amla, Nimar, Gohad and Shivpuri. The population of Shajapur is 3550, out of which 36% people are living below poverty line (BPL). The total population of Shajapur is 11.25% less than that of the village Amla. 29% of the population lives below poverty line in Amla. In Nimar, the number of people living below poverty line is 40 more than that in Amla which is 40% of the total population of this village. The average population of Gohad and Shivpuri is same as the average population of Amla and Nimar, while there is a difference of 1800 in their population (village Shivpuri being more populated). 47% of the total population of Gohad is living below poverty line, while 46% of the total population of all villages is living below poverty line.

If after one year, the population of Amla increases by 20% of its present value while BPL population decreases by 25% of its present value, then the percentage of population of Amla below poverty line will be

  1. 21.25

  2. 18.12

  3. 39.40

  4. 15.50

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Amla population = 3550 / (1 - 0.1125) = 3550 / 0.8875 = 4000. BPL = 29% of 4000 = 1160. New population = 4000 * 1.2 = 4800. New BPL = 1160 * 0.75 = 870. New BPL % = (870 / 4800) * 100 = 18.125%.