Ratio/Percentage based Sufficiency for arithmetic Ratio-based sufficiency is a method for determining whether a sufficient number of items are present to...
Ratio-based sufficiency is a method for determining whether a sufficient number of items are present to form a particular pattern or group. This applies to various arithmetic problems, such as determining the number of pieces needed to cover a certain surface or the number of participants needed for a specific activity.
Key principle:
Examples:
Equal sets: If you have two sets of marbles, one containing 10 marbles and the other containing 15 marbles, they will be considered equally sufficient for covering the same surface as the 10-marble set.
Similar shapes: If two shapes have equal ratios of corresponding dimensions, then they will be similar. This means that if you know the area of one shape, you can easily find the area of the other.
Proportion: If the ratio of two quantities is equal to a constant, then their corresponding parts are proportional. This means that if you know the length of one part, you can easily find the length of the other.
Benefits of Ratio-based Sufficiency:
It eliminates the need to count individual items.
It focuses on the relative ratios of the quantities involved.
It can be applied to various arithmetic problems.
Limitations:
It requires knowledge of the ratio of two quantities.
It may not be applicable to all situations