Gurpreet went to a shop and bought a sofa. She got a 20% discount on it. Had she received 30% discount, she would have saved ₹ 1000 more. How much did she pay for the sofa?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. ₹ 8000.
Formula used:
Selling price = Marked price - Marked price × Discount% ---- (1)
Calculations:
Let the Marked price be 100x
Using equation (1), we get
Selling price = 100x - 100x × 20% = 80x
According to the question,
Selling price = 100 - 100x × 30% = 70x
We know that, 80x - 70x = 1000
⇒ 10x = 1000
⇒ x = 100
Price at which she bought the sofa = 80x = 80 × 100 = ₹ 8000