Percentages & Profit Loss - 1 | CAT Preparation 2024 | Arithmetic | Quantitative Aptitude

Rodha2 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.

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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.
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