The list price of an electric iron is Rs. 300. If two successive discounts of…
2024
The list price of an electric iron is Rs. 300. If two successive discounts of 15% and 10% are allowed, its selling price will be?
- A.
297.50
- B.
231.50
- C.
232.50
- D.
None of the above
Show answer & explanation
Correct answer: D
Concept: For successive percentage discounts, each discount is applied one after another on the reducing price - the second discount acts on the price that remains AFTER the first discount, not on the original list price. For a list price P with successive discounts d1% and d2%, the final selling price = P x (1 - d1/100) x (1 - d2/100).
List price = Rs. 300.
First discount of 15%: 15% of 300 = 45, so price after the first discount = 300 - 45 = Rs. 255.
Second discount of 10% applied on the reduced price of Rs. 255 (not on the original Rs. 300): 10% of 255 = 25.5, so the final selling price = 255 - 25.5 = Rs. 229.50.
Cross-check using the equivalent single discount: (1 - 0.15) x (1 - 0.10) = 0.85 x 0.90 = 0.765, an overall 23.5% discount. 23.5% of 300 = 70.5, so 300 - 70.5 = Rs. 229.50 - confirms the step-by-step result.
Since Rs. 229.50 does not match any of the listed numeric options (297.50, 231.50, 232.50), the correct choice is 'None of the above'.