Understanding Percentages and Basic Conversions Percentages represent a value per hundred, with the numerator called rate percent. To convert percentages to fractions, divide by 100; for fractions to percentages, multiply by 100. Memorizing common fraction-to-percentage conversions (e.g., 1/2 = 50%, 1/3 = ~33%) simplifies calculations in aptitude exams.
Solving Percentage Problems Efficiently Knowing fractional equivalents of percentages helps solve problems quickly without elaborate methods. For example, finding what percentage one number is of another involves dividing them and multiplying by 100. Similarly, increases or decreases in values can be calculated using simple multipliers derived from their respective percentage changes.
Salary Comparisons Using Percentages When comparing salaries based on percentage differences (e.g., A earns X% more than B), rewrite equations using fractional representations like '120%' as '6/5'. This approach allows quick determination of how much less or more one salary is compared to another through subtraction or addition operations within these ratios.
Rate-Consumption Relationships and Combined Changes Formula 'Expenditure equals Rate times Consumption' explains adjustments needed when rates change but expenditure remains constant—like reducing consumption proportionally if rates increase. Additionally, combined changes are computed via the formula: A + B + AB/100—for instance calculating area change when both length and breadth alter simultaneously due to given increments.