Question : On a television of brand A, the discount is 25% and on a television of brand B, the discount is 40%. The price of B after the discount Rs. 2,250, is greater than the price of A after the discount. What is the marked price of A (in Rs.) if the marked price of B is Rs. 35,000?
Option 1: 18,750
Option 2: 21,000
Option 3: 25,000
Option 4: 17,850
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Correct Answer: 25,000
Solution :
Let the marked price of brand A be Rs. $x$ and it is given that the marked price of brand B is Rs. 35,000.
Discounted price of brand A = $0.75x$
And discounted price of brand B = $0.6 \times 35000$
Now, according to the given condition,
Price of B after discount = Price of A after discount + 2250
⇒ $0.6\times35000=0.75x + 2250$
⇒ $0.75x = 21000 - 2250$
⇒ $0.75x = 18750$
⇒ $ x = 25000$
So, the marked price of brand A is Rs. 25,000.
Hence, the correct answer is 25,000.
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