1. The problem asks for the single discount equivalent to successive discounts of 20%, 10%, and 2%. 2. When multiple discounts are applied successively, the equivalent single discount $D$ is given by: $$D = 1 - (1 - d_1)(1 - d_2)(1 - d_3)$$ where $d_1$, $d_2$, and $d_3$ are the decimal forms of the discounts. 3. Convert the percentages to decimals: $$d_1 = 0.20, \quad d_2 = 0.10, \quad d_3 = 0.02$$ 4. Calculate the product: $$(1 - 0.20)(1 - 0.10)(1 - 0.02) = 0.80 \times 0.90 \times 0.98$$ 5. Multiply step-by-step: $$0.80 \times 0.90 = 0.72$$ $$0.72 \times 0.98 = 0.7056$$ 6. Find the equivalent single discount: $$D = 1 - 0.7056 = 0.2944$$ 7. Convert to percentage and round to 2 decimal places: $$D = 29.44$$ Therefore, the single discount equivalent to 20%, 10%, and 2% is 29.44.