Simple Ratios — Core Techniques

Entry	Year	Description	Impact
Mathematical Convention 1.1	Universal	The convention that ratios are dimensionless quantities when comparing quantities of the same unit. For example, 5 meters : 10 meters simplifies to 1:2, without units. This 'amendment' clarifies that the ratio expresses a pure numerical relationship, not a physical quantity itself.	Ensures clarity and consistency in mathematical comparisons, preventing confusion between ratios and rates (which do retain units, e.g., km/hr). Critical for accurate problem interpretation in CSAT.
Mathematical Convention 1.2	Universal	The extension of simple ratios to compound ratios, where the relationship involves the product of two or more simple ratios. While simple ratios compare quantities directly, compound ratios compare ratios of ratios. This 'amendment' allows for more complex, multi-layered comparisons.	Forms the basis for advanced ratio problems, such as those involving chained relationships (A:B and B:C to find A:C). Essential for understanding topics like partnership and work-related problems in CSAT. For advanced ratio applications, explore compound ratios at [VY:CST-05-02-02].