Percentages & Profit Loss - 1 | CAT Preparation 2024 | Arithmetic | Quantitative Aptitude
Rodha・2 minutes read
Understanding percentage conversions and key values, such as 1/8 = 12.5%, and applying the multiplying factor simplifies calculations for efficient problem-solving, boosting confidence in speed math. Memorizing essential fraction relationships and using familiar fractions like 5/6 for 83.33% aids in quick calculations and finding percentages of numbers to solve arithmetic problems effectively.
Insights
- Watching speed math videos can enhance confidence in quickly solving percentage problems, making arithmetic tasks more manageable and less intimidating.
- Understanding and memorizing key fraction to percentage conversions, such as 1/8 = 12.5% or 1/6 = 16.66%, is essential for efficient calculations and allows for quick mental math when dealing with percentages in various scenarios.
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Recent questions
How can I quickly convert fractions to percentages?
By multiplying the fraction by 100.
What are some key fraction to percentage conversions?
1/2 = 50%, 1/3 = 33.33%, 1/4 = 25%, 1/5 = 20%, 1/6 = 16.66%, 1/7 = 14.28%, 1/8 = 12.5%, 1/9 = 11.11%, 1/10 = 10%.
How can I utilize fraction relationships to find percentages?
By understanding relationships like 1/8 = 12.5%.
What is the significance of memorizing key percentage values?
To aid in quick calculations and boost confidence.
How does the multiplying factor simplify percentage calculations?
By determining the factor based on the fraction value.
Related videos
Summary
00:00
Mastering Percentage Conversions and Calculations
- Percentage is a crucial topic for arithmetic problems and data interpretation.
- Watching speed math videos can boost confidence in solving percentages quickly.
- Fraction to percentage conversion involves multiplying the fraction by 100.
- Key conversions include 1/2 = 50%, 1/3 = 33.33%, 1/4 = 25%, 1/5 = 20%, 1/6 = 16.66%, 1/7 = 14.28%, 1/8 = 12.5%, 1/9 = 11.11%, 1/10 = 10%, 1/11 = 9.09%, 1/12 = 8.33%, 1/13 = 7.69%, 1/14 = 7.14%, 1/15 = 6.66%, 1/16 = 6.25%, 1/17 = 5.88%, 1/18 = 5.55%, 1/19 = 5.26%.
- Understanding approximations for fractions like 1/23 and 1/234 is crucial for calculations.
- Memorizing key values like 12.5%, 37.5%, 62.5%, and 87.5% aids in quick calculations.
- Utilizing fraction relationships like 1/8 = 12.5% to find percentages of numbers.
- Examples include finding 37.5% of 640, 18.75% of 176, and 83.33% of 606 using fraction relationships.
- Breaking down percentages like 83.33% into familiar fractions like 5/6 aids in calculations.
- Key values like 5/6 for 83.33% and 7/16 for 43.75% are essential for solving percentage problems efficiently.
16:14
Percentage Calculations Made Easy
- To find percentages like 43.75% and 56.25%, remember the values 7/16 and 9/16 for calculations.
- Multiplying factor in percentages is crucial for various types of questions, such as profit and loss, time and distance, and more.
- The multiplying factor is determined by the fraction value, with 1 plus for increase and 1 minus for decrease.
- For decreasing a number by a percentage, multiply by 1 minus the fraction value; for increasing, multiply by 1 plus the fraction value.
- Applying the multiplying factor simplifies calculations, like decreasing 840 by 87.5% by multiplying it by 1/8 to get the result quickly.
- In scenarios like increasing 1212 by 83.33%, the multiplying factor is 11/6, simplifying the calculation to 202 multiplied by 11, resulting in 2222.
