Question : Ramesh gives a 15% additional discount along with a discount of 25% on the marked price of a sofa set. If the selling price of the sofa set is INR 12,750, then find the marked price of the sofa set.
Option 1: INR 20,000
Option 2: INR 23,000
Option 3: INR 22,000
Option 4: INR 24,000
Correct Answer: INR 20,000
Solution :
Let's denote the marked price of the sofa set as \( M \).
Given:
Ramesh gives a discount of 25% on the marked price, which means the selling price becomes \( 0.75M \) after this discount.
Additionally, Ramesh gives a 15% additional discount on the selling price.
After the 25% discount, the selling price is = \( 0.75M \)
After the additional 15% discount, the selling price becomes = \( 0.85 \times 0.75M = 0.6375M \)
Given that the selling price is INR 12,750, we have the equation:
$0.6375M = 12750$
We can solve this equation to find the marked price \( M \).
$M = \frac{12,750}{0.6375}$
$⇒M = 20000$
Therefore, the marked price of the sofa set is INR 20,000.
Hence, the correct answer is INR 20,000.
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