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UIIC AO Percentages — practice questions

Explore 34 free Percentages questions in UIIC AO Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Percentages questions and exercises with answers

Showing questions 1–30 of 34.

If a number is increased by 40% and then decreased by 25%, what is the net percentage change?Read the answer and worked solution →In a town the population grew from 24,000 to 30,000. By what percent did the population increase?Read the answer and worked solution →A is 40% more than B. By what percent is B less than A?Read the answer and worked solution →If 30% of x equals 60% of 80, find x.Read the answer and worked solution →In an election between two candidates, the winner got 56% of the valid votes and won by a majority of 1,440 votes. What was the total number of valid votes?Read the answer and worked solution →A student scored 45% marks and failed by 12 marks. Pass mark is 50% of the maximum. What is the maximum mark?Read the answer and worked solution →After two equal successive discounts of 20% each, what is the single equivalent discount?Read the answer and worked solution →If the price of a commodity rises by 25%, by what percent must consumption be reduced so expenditure stays the same?Read the answer and worked solution →A's salary is 20% less than B's. By what percent is B's salary more than A's?Read the answer and worked solution →If 60% of students pass an exam and 240 fail, how many students appeared?Read the answer and worked solution →The number 720 is what percent more than 480?Read the answer and worked solution →If the sides of a square are increased by 10%, by what percent does the area increase?Read the answer and worked solution →In a class of 80 students, 60% are girls. If 12 more boys join, what is the new percentage of boys?Read the answer and worked solution →A man spends 75% of his income. If his income increases by 20% and expenditure by 10%, by what percent do his savings increase?Read the answer and worked solution →If 15% of (A + B) = 25% of (A − B), then A : B equals:Read the answer and worked solution →Complete the idea of a percentageRead the answer and worked solution →Ratios into percentagesRead the answer and worked solution →Order the steps of the unitary methodRead the answer and worked solution →What is the percentage taken OF?Read the answer and worked solution →True or false: percentages and their baseRead the answer and worked solution →Match each comparison to its formRead the answer and worked solution →Common percentage conversionsRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every correct way to express one quarterRead the answer and worked solution →Flip and pair: fraction with percentageRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →True or false: the unitary methodRead the answer and worked solution →Ratio, fraction, or percentage?Read the answer and worked solution →

Worked practice questions

If a number is increased by 40% and then decreased by 25%, what is the net percentage change?

  1. +5%
  2. +10%
  3. +15%
  4. −5%
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Correct answer: A. +5%

1. Let original = 100. 2. After +40%: 100 × 1.40 = 140. 3. After −25%: 140 × 0.75 = 105. 4. Net change = (105 − 100)/100 = +5%. _Source: jkchrome Percentage QB, p.1 — successive change pattern_

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In a town the population grew from 24,000 to 30,000. By what percent did the population increase?

  1. 20%
  2. 25%
  3. 30%
  4. 15%
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Correct answer: B. 25%

1. Increase = 30,000 − 24,000 = 6,000. 2. % increase = 6,000 / 24,000 × 100. 3. = 25%. _Source: jkchrome Percentage QB, p.1 — basic % increase_

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A is 40% more than B. By what percent is B less than A?

  1. 28.57%
  2. 33.33%
  3. 40%
  4. 60%
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Correct answer: A. 28.57%

1. Let B = 100, then A = 140. 2. B is less than A by (140 − 100) = 40. 3. As a percent of A: 40 / 140 × 100 = 28.57%. _Source: jkchrome Percentage QB, p.1 — reciprocal % pattern_

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