A housewife saved ₹ 2.50 in buying an item on sale. If she spent ₹ 25 for the item, approximately how much percent she saved in the transaction?

### Concept & Formula To find the percentage saved, we must compare the amount saved to the **original price** of the item, not the final amount spent. $$ \text{Percentage Saved} = \left( \frac{\text{Amount Saved}}{\text{Original Price}} \right) \times 100 $$ ### Step-by-Step Solution * **Given:** Amount spent (Final Price) = ₹ 25 Amount saved = ₹ 2.50 * **Calculation:** First, determine the original price of the item before the savings were applied. Original Price = Amount Spent + Amount Saved Original Price = 25 + 2.50 = ₹ 27.50 Now, calculate the percentage saved using the formula: Percentage Saved = $ \left( \frac{2.50}{27.50} \right) \times 100 $ Percentage Saved = $ \left( \frac{25}{275} \right) \times 100 $ Percentage Saved = $ \left( \frac{1}{11} \right) \times 100 $ Percentage Saved = $ 9.09\% $ * **Approximation:** The value 9.09% is approximately 9%. ### Exam Strategy & Shortcut Familiarize yourself with standard fraction-to-percentage conversions. When you simplify $ \frac{25}{275} $, it quickly reduces to $ \frac{1}{11} $. If you have memorized that $ \frac{1}{11} = 9.09\% $, you can bypass the multiplication and division steps entirely, saving valuable seconds. ### Common Pitfall The most frequent mistake is calculating the percentage against the amount *spent* rather than the original price. Calculating $ \left(\frac{2.50}{25}\right) \times 100 $ yields 10%, which is an incorrect option purposely provided as a trap. Always use the original base value for profit, loss, or savings percentages. ### Final Answer **Therefore, the correct answer is 9%.**