On a television of brand A, the discount offered is 25%, while on a television of brand B the discount offered is 40%.\nAfter discount, the price of brand B television is Rs 2250 higher than the discounted price of brand A television.\nIf the marked price of brand B is Rs 35,000, what is the marked price (in rupees) of brand A?

Introduction / Context:
This problem compares the discounted prices of two products that have different marked prices and different discount rates. We know the marked price of one brand and the difference between the final discounted prices, and we are asked to find the marked price of the other brand. Such questions appear frequently in discount and pricing sections of aptitude exams and they encourage careful algebraic formulation based on percentage reductions and price differences.

Given Data / Assumptions:

• Brand A television has a discount of 25% on its marked price.
• Brand B television has a discount of 40% on its marked price.
• Marked price of brand B television = Rs 35,000.
• After discount, price of brand B is Rs 2250 more than the discounted price of brand A.
• We need to find the marked price of brand A, denoted by M.

Concept / Approach:
We first compute the discounted price of brand B using its marked price and discount rate. Then we express the discounted price of brand A in terms of its marked price M and its 25% discount. The question states that the discounted price of B is Rs 2250 greater than that of A, which leads to a linear equation involving M. Solving this equation yields the required marked price of brand A. The important idea is to represent both discounted prices algebraically and relate them using the given difference.

Step-by-Step Solution:
Step 1: Marked price of brand B = Rs 35000. Step 2: Discount on brand B = 40%, so the customer pays 60% of the marked price. Step 3: Discounted price of brand B = 0.60 * 35000 = Rs 21000. Step 4: Let marked price of brand A be M. Step 5: Discount on brand A = 25%, so the customer pays 75% of its marked price. Step 6: Discounted price of brand A = 0.75 * M. Step 7: Given that price of B after discount is Rs 2250 higher than price of A after discount, so 21000 = 0.75 * M + 2250. Step 8: Subtract 2250 from both sides: 21000 - 2250 = 0.75 * M. Step 9: Compute 21000 - 2250 = 18750, so 0.75 * M = 18750. Step 10: Solve for M: M = 18750 / 0.75 = 25000.

Verification / Alternative check:
With M = 25000, the discounted price of brand A is 75% of 25000, which is 0.75 * 25000 = 18750. For brand B, we already found the discounted price is 21000. The difference between them is 21000 - 18750 = 2250, which matches the given condition. This confirms that the marked price of brand A must indeed be Rs 25000 and that the linear equation was set up correctly based on the description in the question.

Why Other Options Are Wrong:
If the marked price of brand A were Rs 18750, the discounted price at 25% off would be 14062.50, and the difference to 21000 would not equal 2250. A marked price of Rs 21000 for A would give a discounted price of 15750, still not satisfying the required difference. A marked price of Rs 17850 would also produce a discounted value far from the one needed. Only a marked price of Rs 25000 yields a discounted price that is exactly Rs 2250 less than the discounted price of brand B, as required.

Common Pitfalls:
Some learners mistakenly add 2250 to the marked price of brand B or misuse the percentage, failing to recognize that the difference is between discounted prices, not between marked prices. Others may confuse which brand has the higher discounted price. It is crucial to carefully read that brand B price after discount is 2250 greater than brand A price after discount, and then build the equation accordingly. Writing down the intermediate expressions clearly for both brands helps avoid such confusion.

Final Answer:
The marked price of brand A television is Rs 25000.