Question : Elizabeth went to a furniture store and purchased a study table. She received a 20% discount on it. She would have saved Rs.1,000 more if she had received a 25% discount. What was the marked price of the study table?
Option 1: Rs. 21,100
Option 2: Rs. 20,000
Option 3: Rs. 18,900
Option 4: Rs. 19,200
Correct Answer: Rs. 20,000
Solution :
Let the marked price of the table be $x$.
Selling price of the table $=x×\frac{80}{100}$
Also, if she had received a 25% discount the selling price $=x×\frac{75}{100}$
According to the question,
$x×\frac{80}{100}-x×\frac{75}{100}=1000$
⇒ $\frac{5x}{100}=1000$
$\therefore x=20,000$
Hence, the correct answer is Rs. 20,000.
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