Important Formula & Tips: Percentages Quant Notes | EduRev

Quantitative Aptitude (Quant)

Quant : Important Formula & Tips: Percentages Quant Notes | EduRev

The document Important Formula & Tips: Percentages Quant Notes | EduRev is a part of the Quant Course Quantitative Aptitude (Quant).
All you need of Quant at this link: Quant

  • In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It represented by the symbol “%”.
  • Percentages have no dimension. Hence it is called a dimensionless number.
  • Percentages can also be represented in decimal or fraction form, such as 0.6%, 0.25%, etc.
    Important Formula & Tips: Percentages Quant Notes | EduRev

Important Formulas

  1. Percent implies “for every hundred” - % is read as a percentage and x % is read as x per cent.
  2. To calculate:
    • p % of y = (p/100) * y = (p * y)/100
    • p % of y = y % of p
  3. To find what percentage of x is y: y/x * 100
  4. To calculate percentage change in value
    • Percentage change = {change/(initial value)} x 100
  5. Percentage point change = Difference of two percentage figures
  6. Increase N by S % = N( 1+ S/100 )
  7. Decrease N by S % = N (1 – S/100)
  8. If the value of an item goes up/down by x%, the percentage reduction/increment to be now made to bring it back to the original point is 100x/ (100 + x) %.
  9. If A is x% more /less than B, then B is 100x/(100 + x) % less/more than A.
  10. If the price of an item goes up/down by x %, then the quantity consumed should be reduced by 100x/ (100 + x)% so that the total expenditure remains the same.
  11. Successive Percentage Change
    • If there are successive percentage increases of a % and b%, the effective percentage increase is: {(a + b + (ab/100)}%

12. Percentage – Ratio Equivalence

Table: Fractions and their percentage equivalents:
Important Formula & Tips: Percentages Quant Notes | EduRev


Percentage Tips

  • r% change can be nullified by (100r/100 + r)% change in another direction.
    Example: An increase of 25% in prices can be nullified by a reduction of [100 x 25/(100 + 25)] = 20% reduction in consumption.
  • If a number ‘x’ is successively changed by a%, b%, c%...
    ⇒ Final value = Important Formula & Tips: Percentages Quant Notes | EduRev
  • The net change after two successive changes of a% and b% is:
    Important Formula & Tips: Percentages Quant Notes | EduRev

Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

Related Searches

pdf

,

Viva Questions

,

Exam

,

shortcuts and tricks

,

study material

,

mock tests for examination

,

Free

,

Important Formula & Tips: Percentages Quant Notes | EduRev

,

Summary

,

video lectures

,

past year papers

,

Sample Paper

,

Objective type Questions

,

ppt

,

Semester Notes

,

Important Formula & Tips: Percentages Quant Notes | EduRev

,

Important Formula & Tips: Percentages Quant Notes | EduRev

,

Previous Year Questions with Solutions

,

Extra Questions

,

practice quizzes

,

Important questions

,

MCQs

;