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

A shopkeeper marks up his goods by 20% and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 g, i.e., he takes 1100 g from his supplier and sells only 900 g to his customer. What is his net profit percentage? (Rounded off to two decimal points)

  1. 24.5%

  2. 17.33%

  3. 25%

  4. 32.5%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be 1 per unit. Marked price = 1.2. Selling price = 1.2 * 0.8 = 0.96. Cheating: buys 1100g for price of 1000g, sells 900g for price of 1000g. Effective CP = 1000/1100 = 0.909. Effective SP = 1000/900 * 0.96 = 1.066. Profit = (1.066 - 0.909) / 0.909 = 0.1733 = 17.33%.

Multiple choice

Chikli spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. Find, the percentage increase in his savings. 50% 57% 42% 35%

  1. A

  2. B

  3. C

  4. D
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the initial income be 100, so the expenditure is 75 and the savings are 25. After the increases, the new income is 120 and the new expenditure is 82.5 (10% more than 75). This leaves new savings of 120 - 82.5 = 37.5, which is a 50% increase from the original savings of 25.

Multiple choice

The price of an article increases by 10% and decreases by 10% in alternate years. By how much percent the price of the article at the end of fourth year was less than or more than that at the end of second year?

  1. 10% more

  2. 10% less

  3. 1% less

  4. 1% more

  5. None
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial price be 100. End of year 1: 110. End of year 2: 110 * 0.9 = 99. End of year 3: 99 * 1.1 = 108.9. End of year 4: 108.9 * 0.9 = 98.01. Price at end of year 4 is 98.01, price at end of year 2 is 99. Decrease = 99 - 98.01 = 0.99, which is 1 percent of 99.

Multiple choice

ஒரு நகரத்தின் மக்கள் தொகை 16,000. இது ஆண்டொன்றுக்கு 5 % அதிகரிக்கிறது எனில் 2 ஆண்டுகள் கழித்து மக்கள் தொகை எவ்வளவாக இருக்கும்? The population of a city is 16,000. If it increases by 5% per year, what will the population be like in 2 years?

  1. 17,650

  2. 17,560

  3. 17, 460

  4. 17, 640
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Population after 2 years = 16000 * (1 + 5/100)^2 = 16000 * (1.05)^2 = 16000 * 1.1025 = 17640.

Multiple choice

ஒரு கிராமத்தின் மக்கள் தொகை 7986. கடைசி மூன்று ஆண்டுகளில், மக்கள் தொகையானது ஆண்டொன்றுக்கு 10 % அதிகரிக்கிறது எனில் மூன்று ஆண்டுகளுக்கு முன்பு மக்கள் தொகை எவ்வளவு? The population of a village is 7986. If the population has increased by 10% per annum in the last three years, what was the population three years ago?

  1. 5000

  2. 5500

  3. 6000

  4. 6600
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the initial population be P. After 3 years of 10% growth, P * (1.1)^3 = 7986. P * 1.331 = 7986, so P = 7986 / 1.331 = 6000.

Multiple choice

In a hypothetical economy, the rate of growth of nominal GDP is 15% per annum and the annual rate of growth of GDP deflator is 5%. If the population is growing at the rate of growth of 2% per annum, what will be the annual rate of growth of per capita real GDP?

  1. 10%

  2. 3%

  3. 7%

  4. 8%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Real GDP growth = Nominal GDP growth - GDP deflator growth = 15% - 5% = 10%. Per capita real GDP growth = (1 + Real GDP growth) / (1 + Population growth) - 1. Using approximation: 10% - 2% = 8%.