Q. A student scored 80% in Mathematics and 70% in Science. If the weightage of Mathematics is 60% and Science is 40%, what is the student's overall percentage?
Q. If a population of a town increases by 15% in one year and then decreases by 10% the next year, what is the net percentage change in the population over the two years?
A.
5%
B.
3.5%
C.
4.5%
D.
6%
Solution
Let the initial population be 100. After a 15% increase, it becomes 115. After a 10% decrease, it becomes 115 - 11.5 = 103.5. The net change is (103.5 - 100) / 100 * 100% = 3.5%.
Q. If a product's price is increased by 15% and then decreased by 15%, what is the net change in price?
A.
0%
B.
2.25%
C.
3.5%
D.
1.5%
Solution
Let the original price be $100. After a 15% increase, the price is $115. After a 15% decrease, the price is $97.75. Net change = (97.75 - 100)/100 * 100 = -2.25%.
Q. If a product's price is increased by 20% and then decreased by 20%, what is the net change in price? (2023)
A.
0%
B.
4%
C.
5%
D.
6%
Solution
Let the original price be 100. After a 20% increase, the price becomes 120. After a 20% decrease, the price becomes 120 - 24 = 96. The net change is (96 - 100) / 100 * 100% = -4%.
Q. If a student answered 80% of the questions correctly in an exam and there were 50 questions in total, how many questions did the student answer correctly? (2023)
Q. If a student answered 90% of the questions correctly in an exam and there were 200 questions in total, how many questions did the student answer incorrectly?
A.
10
B.
15
C.
20
D.
25
Solution
The number of questions answered correctly is 90% of 200, which is 180. Therefore, the number of questions answered incorrectly is 200 - 180 = 20.
Q. In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand B, how many participants were surveyed in total?
A.
400
B.
600
C.
800
D.
1000
Solution
Let the total number of participants be x. According to the problem, 40% of x = 240. Therefore, x = 240 / 0.4 = 600.
Q. In a survey, 60% of the participants preferred Brand A over Brand B. If 240 participants preferred Brand A, how many participants were surveyed in total? (2023)
A.
400
B.
480
C.
600
D.
720
Solution
Let the total number of participants be x. According to the problem, 60% of x = 240. Therefore, x = 240 / 0.6 = 400.
Understanding percentages is crucial for students preparing for exams in India. Percentages are a fundamental concept that appears frequently in various subjects, making it essential to master them. Practicing MCQs and objective questions on percentages not only enhances your understanding but also boosts your confidence, helping you score better in exams. Engaging with practice questions allows you to familiarize yourself with important questions and exam patterns.
What You Will Practise Here
Basic concepts of percentages and their applications
Calculating percentage increase and decrease
Understanding profit and loss in terms of percentages
Solving problems involving discounts and mark prices
Conversion between fractions, decimals, and percentages
Percentage-based word problems and their solutions
Real-life applications of percentages in various scenarios
Exam Relevance
Percentages are a significant topic in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that test their understanding of percentage calculations, applications in real-life scenarios, and problem-solving skills. Common question patterns include direct calculations, word problems, and multi-step problems that require a solid grasp of the concept. Mastering this topic will prepare you for both objective and subjective questions in your exams.
Common Mistakes Students Make
Confusing percentage increase with percentage decrease
Misinterpreting word problems that involve percentages
Neglecting to convert fractions and decimals correctly
Overlooking the importance of the base value in percentage calculations
Rushing through calculations, leading to careless errors
FAQs
Question: What are some effective strategies for solving percentage problems? Answer: Break down the problem into smaller parts, use visual aids like diagrams if necessary, and practice regularly to build confidence.
Question: How can I improve my speed in solving percentage MCQs? Answer: Regular practice with timed quizzes can help improve your speed and accuracy in solving percentage-related questions.
Start solving practice MCQs on percentages today to strengthen your understanding and enhance your exam preparation. Remember, consistent practice is the key to success!
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