Shortcut Trick
Net Selling Price Multiplier = (1 − 10/100) × (1 − 15/100) × (1 − 4/100)
⇒ Multiplier = 0.90 × 0.85 × 0.96 = 0.7344
⇒ Selling Price = 12500 × 0.7344 = ₹9,180
⇒ Total Discount = Marked Price − Selling Price = 12500 − 9180 = ₹3,320
∴ The correct answer is ₹3,320.
Alternate Method
Given:
Marked Price (MP) = ₹12,500
Successive Discount Rates = 10%, 15%, and 4%
Calculation:
⇒ First discount (10%) = 10% of 12,500 = ₹1,250
⇒ Price after 1st discount = 12,500 − 1,250 = ₹11,250
⇒ Second discount (15%) = 15% of 11,250 = 1,687.5
⇒ Price after 2nd discount = 11,250 − 1,687.5 = ₹9,562.5
⇒ Third discount (4%) = 4% of 9,562.5 = ₹382.5
⇒ Final Selling Price = 9,562.5 − 382.5 = ₹9,180
⇒ Total Discount Amount = 1,250 + 1,687.5 + 382.5
⇒ Total Discount = ₹3,320
∴ The correct answer is ₹3,320.
Additional Information
Successive Discount Formula
For two successive discounts a% and b%, the equivalent single discount is (a + b − ab/100)%.
Selling Price vs Marked Price
Selling Price = Marked Price × (100 − d1)/100 × (100 − d2)/100 ... where d is the discount percentage.
Effective Discount for Three Rates
If discounts are d1, d2, and d3, calculate the net of d1 and d2 first, then use that result with d3.