IPMAT Percentage Questions: Sample Questions for QA Section

Overview: Did you know mastering IPMAT percentage questions can boost your quantitative score significantly? This guide covers key concepts, expert strategies, common question types, and practice tips to ace percentage-based problems with confidence."

Percentage questions are a critical component of the quantitative section in IPMAT and other competitive exams. These questions evaluate your ability to analyze data, calculate proportions, and make decisions based on numerical reasoning.

This guide will provide a detailed understanding of IPMAT percentage questions, expert strategies, and practice problems to help you enhance your preparation.

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Why Are IPMAT Percentage Questions Important?

Percentage problems simulate real-world scenarios such as financial calculations, elections, and statistical data interpretation.

These IPMAT percentage questions challenge your ability to understand proportions and apply logical reasoning, making them essential for success in IPMAT exam.

Proficiency in percentage questions contributes to overall speed, accuracy, and confidence in tackling quantitative sections.

Core Concepts of Percentages

Understanding the basic principles of percentages is crucial for solving related problems. This section introduces the key concepts with examples to help you build a strong foundation.

Concept	Explanation	Example
Definition	Percent means "per hundred." It is a way to express a number as a fraction of 100.	25% = 25/100 =0.25
Percentage Increase/Decrease	The change expressed as a percentage relative to the original value.	Increase: 100→ 200 = 20%
Base Value Identification	Always identify the "whole" or base value in a problem.	If 20% of 500 is spent, the base value is 500.
Conversions	Memorize standard conversions for quick calculations.	50% = 1/2, 33.33% = 1/3

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Types of IPMAT Percentage Questions

Percentage based questions for IPMAT are versatile, appearing in a variety of forms. Here's a breakdown of common question types and their real-world applications:

1. Election-based Problems

These questions involve calculating valid and invalid votes or vote shares between candidates.

• Example: Determine the number of votes received by the losing candidate.

2. Error Calculation

These problems require identifying errors in calculation due to incorrect factors.

• Example: Find the percentage error when a number is multiplied by 3/5 instead of 5/3.

3. Profit, Loss, and Discount

These questions test your understanding of monetary transactions involving percentages.

• Example: Calculate the selling price for a given percentage profit or loss.

4. Marks and Passing Criteria

Problems based on passing percentages assess your ability to work backward to find totals.

• Example: Determine the maximum marks if a student needs 33% to pass.

5. Population and Language Distribution

These questions involve overlapping sets and require understanding of percentages applied to multiple categories.

• Example: Analyze the distribution of language speakers in a population.

6. Water Content and Mixtures

These questions focus on percentage composition before and after drying or mixing.

• Example: Calculate the dry fruit weight obtained from fresh fruits.

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Sample IPMAT Percentage Questions with Solutions

The best way to master these problems is through practice important percentage questions for IPMAT exam. This section provides detailed solutions to common percentage problems to reinforce your understanding.

Q1. In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

• A) 2500
• B) 2700
• C) 2900
• D) 3100

Answer: B

Q2. A student multiplied a number by 3/5 instead of 5/3, What is the percentage error in the calculation?

• A) 54 %
• B) 64 %
• C) 74 %
• D) 84 %

Answer: B

Q3. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are:

• A) 500
• B) 600
• C) 800
• D) 1000

Answer: A

Q4. A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with?

• A) 6%
• B) 8%
• C) 10%
• D) 12%

Answer: B

Q5. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits?

• A) 20
• B) 30
• C) 40
• D) 50

Answer: C

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Q6. A goldsmith bought a large solid golden hall at INR 1 000000 and melted it to make a certain number of solid spherical beads such that the radius of each bead was one-filth of the radius of the original hall Assume that the cost of making golden beads is negligible. If the goldsmith sold all the heads at 20% discount on the listed price and made a total profit of 20% then the listed price of each golden bead. in INR, was

• A) 12000
• B) 48000
• C) 9600
• D) 24000

Answer: A

Q7. The cost of a piece of jewellery is proportional to the square of its weight. A piece of jewellery weighing 10 grams is INR 3600. The cost of a piece of jewellery of the same kind weighing 4 grams is

• A) INR 1220
• B) INR 600
• C) INR 576
• D) INR 1440

Answer: C

Q8. In a city, 50% of the population can speak in exactly one language among Hindi, English and Tamil, while 40% of the population can speak in at least two of these three languages. Moreover, the number of people who cannot speak in any of these three languages is twice the number of people who can speak in all these three languages. If 52% of the population can speak in Hindi and 25% of the population can speak exactly in one language among English and Tamil, then the percentage of the population who can speak in Hindi and in exactly one more language among English and Tamil is

• A) 22%
• B) 25%
• C) 30%
• D) 38%

Answer: A

Q9. Aruna purchases a certain number of apples for INR 20 each and a certain number of mangoes for INR 25 each. If she sells all the apples at 10% profit and all the mangoes at 20% loss, overall she makes neither profit nor loss. Instead, if she sells all the apples at 20% loss and all the mangoes at 10% profit, overall she makes a loss of INR 150 . Then the number of apples purchased by Aruna is _________.

Answer: 50

Q10. In an election with only two contesting candidates, 15% of the voters did not turn up to vote, and 50 voters cast invalid votes. It is known that 44% of all the voters in the voting list voted for the winner. lf the winner got 200 votes mote than the other candidate, then the number of voters in the voting list is _________.

Answer: 5000

Strategies to Solve IPMAT Percentage Questions

Each type of percentage problem demands specific approaches. This section outlines strategies tailored to common scenarios to enhance your efficiency and accuracy.

1. Break Down the Problem

Many percentage problems involve multiple steps. Break the problem into smaller parts to make calculations easier.

2. Use Fractional and Decimal Equivalents

Fractions and decimals simplify calculations and reduce errors. Convert percentages into these forms whenever possible.

• Example: 33.33% = 1/3.

3. Apply Formulae for Speed

Memorize and use percentage formulae for faster problem-solving. For instance:

• New Value = Old Value × (1 ± Percentage Change​/100)

4. Approximation for Quick Solutions

In IPMAT, time is critical. Approximate intermediate values to save time and refine them in the final step.

5. Analyze Past Questions

Familiarize yourself with previously asked questions to identify patterns and trends in percentage problems.

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Preparation Strategy for IPMAT Percentage Questions

To master percentage questions in IPMAT, follow these concise, effective strategies:

• Understand the Basics: Memorize percentage-fraction-decimal conversions (e.g., 25% = ¼ = 0.25) and learn important formulas like percentage increase/decrease and error calculation.
• Categorize and Practice: Break problems into types (e.g., elections, profit and loss, passing marks) and solve 5-10 questions from each category daily.
• Leverage Shortcuts: Use mental math and approximation techniques to save time. For example, calculate 25% by dividing by 4.
• Mock Tests and Analysis: Take topic-specific and full-length mocks weekly. Review errors to identify and address weak areas.
• Maintain a Formula Sheet: Keep a handy reference of formulas and an error log to revisit challenging problems during revision.
• Regular Revision: Dedicate weekly time to review formulas, solve past mistakes, and reinforce concepts with real-world applications.

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With consistent practice and smart strategies, you can improve accuracy and speed in IPMAT percentage questions, boosting your overall IPMAT performance.

Percentage questions are a key component of the IPMAT quantitative section. By mastering core concepts, practicing regularly, and applying effective strategies like shortcuts and mock test analysis, you can boost your accuracy and confidence.

Consistent effort and smart preparation will ensure success in this topic and improve your overall exam performance.

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Key Takeaways:

• Core Concept Mastery: Understanding percentage basics, including conversions and key formulas, is essential for solving problems efficiently.
• Question Categorization: Practice diverse types of percentage problems, such as election-based, profit and loss, and marks-related scenarios, to build versatility.
• Use Shortcuts: Leverage mental math and approximation techniques to save time and improve accuracy in calculations.
• Mock Tests and Analysis: Regularly attempt topic-specific and full-length mocks, and analyze errors to strengthen weak areas.
• Consistent Revision: Maintain a formula sheet and error log to ensure regular review and reinforcement of key concepts and mistakes.