Discussion
Gurpreet went to a shop and bought a sofa, on which she got a 20% discount. Had she been given a 25% discount she would have saved Rs. 1000 more. What was the marked price of the sofa?
Answer: C
The extra saving comes from the extra 5 percentage points of discount, and that difference is measured on the marked price.
\[ (25\% - 20\%) \times \text{MP} = 1000 \]
\[ 0.05 \times \text{MP} = 1000 \quad\Longrightarrow\quad \text{MP} = \frac{1000}{0.05} = \text{Rs. } 20{,}000 \]
As a check, a 20% discount leaves Rs. 16,000 and a 25% discount leaves Rs. 15,000 - a difference of exactly Rs. 1000. Only the gap between the two discount rates matters, never either rate on its own.
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