Percentage Questions

Multiple choice

Passage

Directions: Read the following passage and answer the question. A survey was conducted about the population of a particular region having working population of three lacs and information was collected about self-employed persons, casual wage workers, regular salaried employees of both urban and rural areas of the region. Self-employment is a key source of income in both rural and urban areas but it is more prevalent in rural areas (56% of the rural population) than in urban areas (40% of the urban population). Rural population was 48% of the total population. Regular salaried workers in urban areas were 48% of the urban population whereas in rural areas, regular salaried workers constituted 12% of the rural population. During the survey, the casual wage workers were found to be more common in rural areas than in urban areas. Casual wage workers in rural areas were 32% of the rural population whereas it was 12% of the urban population in urban areas.

If urban population of the region increased from 52% to 56% and percentage of self employed in urban region remains same, then number of self-employed people in urban areas is:

  1. 66,840

  2. 68,640

  3. 62,700

  4. 67,200

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

Total population = 300,000. Rural = 48% (144,000), Urban = 52% (156,000). New Urban population = 56% of 300,000 = 168,000. Self-employed in urban = 40% of 168,000 = 67,200.

Multiple choice

Passage

Directions: Read the following passage and answer the question. A survey was conducted about the population of a particular region having working population of three lacs and information was collected about self-employed persons, casual wage workers, regular salaried employees of both urban and rural areas of the region. Self-employment is a key source of income in both rural and urban areas but it is more prevalent in rural areas (56% of the rural population) than in urban areas (40% of the urban population). Rural population was 48% of the total population. Regular salaried workers in urban areas were 48% of the urban population whereas in rural areas, regular salaried workers constituted 12% of the rural population. During the survey, the casual wage workers were found to be more common in rural areas than in urban areas. Casual wage workers in rural areas were 32% of the rural population whereas it was 12% of the urban population in urban areas.

What is the percentage of regular salaried employees in rural areas corresponding to the number of casual wage workers in urban areas?

  1. 72.3%

  2. 79.8%

  3. 88.7%

  4. 92.3%

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

Total population = 300,000. Rural = 48% = 144,000. Urban = 52% = 156,000. Regular salaried in rural = 12% of 144,000 = 17,280. Casual wage in urban = 12% of 156,000 = 18,720. Percentage = (17,280 / 18,720) * 100 = 92.3%.

Multiple choice

Passage

Directions : Study the following information carefully and answer the given question. During the period from 1952 to 2014, the Lok Sabha elections held immense significance in India's democratic history. These elections allowed eligible citizens to exercise their right to vote, shaping the nation's political landscape. These elections played a pivotal role in shaping policies and governance, reflecting the people's choices and aspirations. Years Number of voters (in millions) Percentage of voters who voted Ratio of male to female voters who voted 1952 173 46 8 : 3 1962 220 55 ---- 1971 --- 54 8 : 7 1980 364 57 5 : 1 1991 ---- --- 7 : 5 2004 672 58 4 : 3 2014 815 --- 5 : 3

If the number of voters increased by 65 percent from 1980 to 1991, and 55 percent of the voters voted in 1991, how many male voters voted in the 1991 election?

  1. 19,26,92,50

  2. 19,26,92,500

  3. 27,52,75,000

  4. 2,52,69,25,000

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

Passage

Directions : Study the passage carefully and answer the question that follows. Mr. Das is working in a construction company. He has a family, including his wife and a daughter. His total monthly income includes a salary of Rs. 9,228/- and a 10% house rent allowance. Due to increasing inflation, he is keeping a home budget that accounts for the income and expenses of the household. Out of his total monthly income, he spends 25% on food expenses, 18% on paying the house-rent, 9% on entertainment, 23% on the education of his child, 13% on medical expenses, and he saves 12% of his total monthly income. Based on the above information, answer the following question.

If the expenditure on food and entertainment is increased by 10% due to inflation in prices, what will be the new percentage of savings in the same monthly salary?

  1. 8.4%

  2. 8.6%

  3. 8.8%

  4. 8.2%

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

Initial: Food 25%, Entertainment 9%. Total = 34%. Increase by 10% of these values: 3.4%. New total expenditure = Old + 3.4%. Savings = 100 - (Total Expenses). New Savings = 100 - (Old Expenses + 3.4) = Old Savings - 3.4%. Original savings = 12%. New savings = 12 - 3.4 = 8.6%.

Multiple choice

Passage

Employee demographics and project allocation of a new tech startup "Innovate Inc" Department Male Employees Female Employees Project A Project B Project C Engineering 60 40 30 50 20 Marketing 25 35 15 20 25 Sales 40 20 20 10 30 HR 10 15 5 10 10 Percentage of total budget allocated to each project.

If Innovate Inc. decides to increase the number of female employees in engineering by 25% and reduce the number of male employees in sales by 10%, what will be the approximate percentage change in the total number of employees?

  1. -2%

  2. 0%

  3. 2%

  4. 4%

  5. 6%

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

Initial total: 60+40+25+35+40+20+10+15 = 245. Change: Female Engineering +25% of 40 = +10. Male Sales -10% of 40 = -4. Net change = +6. Percentage change = (6 / 245) * 100 approx 2.45%.

Multiple choice

Passage

Visitors to a national park from 2018 to 2022 Year Number of visitors 2018 150,000 2019 200,000 2020 175,000 2021 225,000 2022 200,000 Activities by visitors Activity 2018 2019 2020 2021 2022 Hiking 60% 55% 65% 60% 50% Camping 20% 25% 20% 20% 25% Wildlife Viewing 15% 10% 10% 15% 20% Other 5% 10% 5% 5% 5%

What is the approximate percentage change in the number of visitors participating in wildlife viewing from 2019 to 2022?

  1. 50% increase

  2. 75% increase

  3. 100% increase

  4. 125% increase

  5. 150% increase

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

Wildlife viewing in 2019: 10% of 200,000 = 20,000. Wildlife viewing in 2022: 20% of 200,000 = 40,000. Percentage change = ((40,000 - 20,000) / 20,000) * 100 = 100 percent.

Multiple choice

Passage

Directions: The following table gives the expenditure details of a family during the years 2011 to 2015. Item of Expenditure Expenditure (in Rs. Thousands) 2011 2012 2013 2014 2015 Total Food 800 900 1,050 1,200 1,400 5,350 House Rent 150 150 210 240 300 1,050 Clothing 75 100 130 170 250 725 Fuel and Electricity 30 40 50 60 70 250 Education 150 170 200 260 300 1,080 Medical Expenses 75 90 100 110 150 525 Miscellaneous 220 250 260 360 430 1,520 Total 1,500 1,700 2,000 2,400 2,900 10,500

What is the percentage increase in expenditure on education during 2011 to 2015?

  1. 50%

  2. 75%

  3. 100%

  4. 150%

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

Expenditure on education in 2011 = 150. In 2015 = 300. Percentage increase = ((300 - 150) / 150) * 100 = 100%.

Multiple choice

Passage

Directions: The following table gives the expenditure details of a family during the years 2011 to 2015. Item of Expenditure Expenditure (in Rs. Thousands) 2011 2012 2013 2014 2015 Total Food 800 900 1,050 1,200 1,400 5,350 House Rent 150 150 210 240 300 1,050 Clothing 75 100 130 170 250 725 Fuel and Electricity 30 40 50 60 70 250 Education 150 170 200 260 300 1,080 Medical Expenses 75 90 100 110 150 525 Miscellaneous 220 250 260 360 430 1,520 Total 1,500 1,700 2,000 2,400 2,900 10,500

Considering the total expenditure for all the five years together, what is the percentage expenditure on house rent?

  1. 15%

  2. 10%

  3. 12%

  4. 8%

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

Total expenditure over 5 years is 10,500. Total house rent over 5 years is 1,050. Percentage = (1050 / 10500) * 100 = 10%.

Multiple choice

Passage

Directions: Study the following table carefully and answer the question that follows. PRODUCTION OF MACHINES (in units) TYPE 1980 1981 1982 1983 1984 1985 I 60 80 75 85 90 94 II 28 40 40 60 65 71 III 39 45 53 70 75 78 IV 30 60 120 90 100 92 V 60 55 52 85 90 95

What was the approximate percentage increase in the production of all types of machines together, from the year 1981 to the year 1984?

  1. 10

  2. 20

  3. 40

  4. 50

  5. 60

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

Total production in 1981: 80+40+45+60+55 = 280. Total production in 1984: 90+65+75+100+90 = 420. Percentage increase = ((420-280)/280) * 100 = (140/280) * 100 = 50%.

Multiple choice

Passage

Directions: Study the following information carefully to answer the question. Details of population of various states are as below (All the data mentioned here is only for calculation purpose) Population of 'Rajasthan' is 150% of the population of 'Uttarakhand' and 80% of the population of 'Uttar Pradesh'. Population of 'Bihar' is 60% of the population of 'Punjab' and population of 'Assam' is 125% of the population of 'Jharkhand'. Population of Uttar Pradesh' is 150 lakh, which is 80% of the population of 'Punjab' and 120% of the population of 'Assam'.

Population of Rajasthan was found to have increased by 20% from the previous record. What was the population of 'Rajasthan' as per the previous record (in lakh)?

  1. 75

  2. 80

  3. 110

  4. 100

  5. None of these

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

Uttar Pradesh = 150 lakh. Rajasthan = 80% of UP = 0.8 * 150 = 120 lakh. This 120 lakh is the current population after a 20% increase. Previous population = 120 / 1.2 = 100 lakh.

Multiple choice

Passage

DIRECTION: Answer the adjacent questions based on the information given below. The table given below represents 12 numerical values of a certain showroom which sales air conditioner of four different brands. Each value represents either sales of any brand of air conditioner on any particular month (in terms of the number of pieces sold) or sales of any air conditioner on any particular month as a percentage of the total sales of all the air conditioner on that specific month. For e.g., sales of Whirlpool in month 3 was either 33 or 33%. Sales (either in terms of pieces or in terms of percentage) of any air conditioner on any month was a natural number. No two types of air conditioner had the same sales on any two months. On any month at least one figure was in terms of pieces while at least one figure was in terms of percentage. Total sales of any air conditioner across the three months put together was more than 200 and less than 400. Further, the total sales of the four brands in each month was equal. Month 1 Month 2 Month 3 Whirlpool 144 48 33 Lloyd 76 164 27 Blue Star 31 136 44 Voltas 56 12 116

What was the maximum percentage increase in sales (in pieces) of any air conditioner compared to the previous month?

  1. 175

  2. 123

  3. 115

  4. None of these

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

By analyzing the constraints, the total sales for each month is 400 pieces. In Month 2, Whirlpool's sales are 48 pieces (12% of 400), and in Month 3, its sales are 132 pieces (33% of 400). This represents an increase of (132 - 48) / 48 = 175%, which is the maximum percentage increase among all brands.

Multiple choice

Passage

Directions: Refer to the data below and answer the question that follows. A stock analyst tracked the prices of 10 technology stocks listed on NASDAQ in the year 2023. The prices of the stocks (in Rs.) on December 31, 2023 were called 'closing prices', while the prices of the stocks on January 1, 2023 were called 'opening prices'. It was observed that the price of each of these 10 stocks increased by exactly 6%, 8%, 10%, 12%, or 14% between January 1, 2023 and December 31, 2023. However, the opening price on January 1, 2023 was an integer value for all the stocks. The table below shows the closing prices of each stock on December 31, 2023: Stock Closing Price (in Rs.) as on December 31, 2023 P 2862 Q 3192 R 2915 S 2970 T 3080 U 3024 V 2968 W 3021 X 3078 Y 3135 The stock analyst then ranked the stocks in ascending order of their opening prices. If two or more stocks had the same opening price, they were sorted in the alphabetical order. The sequence of the stocks so arranged by the analyst was: V, W, P, U, R, S, Q, T, X, Y.

What was the percentage increase in the price of stock R?

  1. 6%

  2. 8%

  3. 10%

  4. 12%

  5. 14%

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

Passage

Directions: Read the information given below and answer the question that follows. Out of 10 tech start-ups—Start-up 1 through Start-up 10—Start-up 9 currently has the highest total valuation, and Start-up 10 currently has the highest valuation per engineer. (Valuation per engineer = Total valuation ÷ Number of engineer.) The table below provides data for Start-ups 1–8 for the year 2024: - Column 1 specifies the start-up identity - Column 2 gives the start-up's valuation as a fraction of Start-up 9's valuation. - Column 3 gives the start-up's valuation per engineer as a fraction of Start-up 10's valuation per engineer. - Column 4 gives the start-up's annual valuation growth rate. - Column 5 gives the start-up's annual engineer headcount growth rate. Start-up Valuation Valuation per Engineer Annual Valuation Growth Rate Annual Engineer Headcount Growth Rate Start-up 1 0.50 0.6 5.00% 10.00% Start-up 2 0.45 0.45 8.00% 5.00% Start-up 3 0.40 0.2 12.00% 2.00% Start-up 4 0.35 0.55 4.00% 8.00% Start-up 5 0.30 0.5 10.00% 7.00% Start-up 6 0.25 0.3 6.00% 3.00% Start-up 7 0.20 0.4 15.00% 12.00% Start-up 8 0.15 0.65 3.00% 4.00% Assume that the valuation growth rates and engineer headcount growth rates will remain constant for the next three years.

By what percent did the engineer headcount of Start-up 7 increase in 2025 compared to 2023?

  1. 28%

  2. 12%

  3. 24%

  4. 18%

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

Passage

Directions: Study the passage carefully and answer the question that follows. Mrs. Rina is a teacher at a government school. She lives with her husband and two children. Her total monthly income includes a salary of Rs. 18,450 and a 10% transport allowance. Due to rising living costs, she maintains a strict household budget. Out of her total monthly income, she spends 25% on groceries, 20% on rent, 7% on recreation, 23% on children's education, 13% on health expenses, and saves 12% of her total monthly income.

If her grocery and recreation expenses increase by 10% due to inflation, what will be the new percentage of savings from her salary?

  1. 8.4%

  2. 8.6%

  3. 8.2%

  4. 8.8%

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

Passage

Directions: Read the following passage and answer the question. Health insurance plays a vital role in ensuring financial protection and access to quality healthcare. In India, however, the extent and nature of health insurance coverage vary significantly between urban and rural areas. While urban populations often have better access to organised insurance schemes, employer-provided coverage, and awareness about health policies, rural populations face challenges such as limited outreach of insurance schemes, inadequate infrastructure, and lower awareness levels. This urban–rural divide in health insurance coverage highlights the broader issue of healthcare inequality, making it essential to analyse the factors contributing to this gap and explore strategies for more inclusive health protection. A state-level health survey was conducted. The survey covered 1,80,000 adults across urban and rural areas. Urban residents formed 55% of the sample (that is, 99,000 people) while rural residents made up 45% (that is, 81,000 people). In each area, coverage was classified under four heads – Public schemes, Private insurance, Employer-provided coverage, and Uninsured. In urban areas, Public coverage accounted for 28% of the urban population, Private for 22%, Employer for 18%, and the remaining 32% were Uninsured. In rural areas, where formal coverage is generally lower, Public coverage stood at 35%, Private at 10%, Employer at 8%, while 47% were Uninsured. For this survey, "Insured" includes everyone covered by Public + Private + Employer schemes, and "Uninsured" indicates those with no coverage at all. Officials noted that public schemes remain the backbone of rural coverage, while employer and private plans are relatively more prevalent in urban centres. (250 words)

If the total population grows by 5% next year and all percentage shares remain the same (including the Urban-Rural split), how many additional privately insured people will there be (vs. this year)?

  1. 1,494

  2. 1,560

  3. 1,620

  4. 1,650

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

Current urban privately insured = 99,000 * 0.22 = 21,780. Current rural privately insured = 81,000 * 0.10 = 8,100. Total = 29,880. A 5% increase in population means a 5% increase in the number of insured people: 29,880 * 0.05 = 1,494.