Trader A gives a single discount of 45% and Trader B gives two successive discounts of 35% and 10% on an identical item of the same marked price. If the discount given by A is ₹539 more than the discount given by Trader B, then what is the marked price (in ₹) of the item?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 15,400.
Let Marked Price = ₹x
Trader A's discount = 45% of x = 0.45x
Trader B's discount = x × (1 − 0.35) × (1 − 0.10) = x × 0.65 × 0.90 = 0.585x
So, B's discount = x − 0.585x = 0.415x
According to the question,
⇒ 0.45x − 0.415x = 539
⇒ 0.035x = 539
⇒ x = ₹15,400