REET Level 2 study notes
Ratio, Proportion, Percentage, Profit and Loss
This REET Level 2 note treats ratio, proportion, percentage, profit-loss and discount as one comparison family. The candidate learns to identify the base quantity, convert ratios to percentages, divide totals in proportional parts, and apply cost price, selling price, marked price, discount, profit, loss, growth and depreciation in Class VI to VIII situations. The emphasis is classroom reasoning before formulas.
Key points
- RBSE places ratio, proportion, percentage, profit-loss, interest, partnership and depreciation in one Level 2 mathematics block.
- Ratio compares two quantities; proportion states equality of two ratios.
- Percentage is a comparison with base 100; always ask 'percentage of what?'.
- Discount percentage uses marked price as base, while profit or loss percentage uses cost price.
- Proportional division turns a total into ratio parts; partnership may add time as a multiplier.
- NCERT Comparing Quantities links ratios, percentages, discount, tax and interest through everyday situations.
- Classroom teaching should move from objects to tables, grids, number lines and then formulas.
- Most MCQ traps reverse ratios, choose the wrong base, or confuse amount with percentage.
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This REET Level 2 note treats ratio, proportion, percentage, profit-loss and discount as one comparison family. The candidate learns to identify the base quantity, convert ratios to percentages, divide totals in proportional parts, and apply cost price, selling price, marked price, discount, profit, loss, growth and depreciation in Class VI to VIII situations. The emphasis is classroom reasoning before formulas.