The marked price of an article is ₹400. It is sold for ₹289, after two…
2022
The marked price of an article is ₹400. It is sold for ₹289, after two successive discounts each of x%. If a single discount of 2x% is given on the same marked price, what will be its selling price (in ₹)?
- A.
270
- B.
275
- C.
280
- D.
285
Attempted by 21 students.
Show answer & explanation
Correct answer: C
Given: Marked Price (MP) = ₹400, Final Selling Price (SP) = ₹289.
The formula for two successive discounts of x% is: SP = MP × (1 - x/100)²
Substitute the values: 289 = 400 × (1 - x/100)²
Rearrange the equation: 289/400 = (1 - x/100)²
Take the square root of both sides: 17/20 = 1 - x/100
Solve for x: x/100 = 1 - 17/20 = 3/20 ⇒ x = 15
The new single discount is 2x%, which means 30%.
Calculate the new Selling Price: 400 - (30% of 400) = 400 - 120 = 280.
Final Answer: Option 3