Shortcut Trick
Price of the shirt after the first 20% discount = 225 − (20% of 225) = ₹180
Target selling price after the second discount = ₹117
Additional discount required = 180 − 117 = ₹63
Additional discount % = (63 ÷ 180) × 100 = 35%
∴ The correct answer is 35%.
Alternate Method
₹ 225 Marked Price ₹ 180 After 1st Discount ₹ 117 Final Price − 20% − d% Discount = 180 − 117 = ₹63 d% = (63 ÷ 180) × 100 = 35%
Given:
Initial Marked Price (MP) = ₹225
First discount given = 20%
Final Selling Price (SP) = ₹117
Formula Used:
Price after discount = Marked Price × (100 − Discount%) ÷ 100
Discount % = (Discount Amount ÷ Base Price) × 100
Calculations:
⇒ Price after 20% discount = 225 × (100 − 20) ÷ 100
⇒ Price after 20% discount = 225 × 80 ÷ 100 = ₹180
⇒ Now, the intermediate price is ₹180, and the final selling price is ₹117.
⇒ Required additional discount amount = 180 − 117 = ₹63
⇒ Additional discount % = (63 ÷ 180) × 100
⇒ Additional discount % = (7 ÷ 20) × 100 = 35%
∴ The correct answer is 35%.
Additional Information
Successive Discounts
When two or more discounts are offered sequentially, each subsequent discount is always calculated on the reduced price after applying the previous discount, not on the original marked price.
Equivalent Single Discount
For two successive discounts of A% and B%, the equivalent single discount can be directly found using the formula: (A + B − A×B ÷ 100)%.
Marked Price vs Selling Price
Selling Price (SP) = Marked Price (MP) − Discount Amount. The discount percentage expresses the discount amount as a percentage of the Marked Price.