The list price of a television set is 2,300 rupees and it is sold with two successive discounts of 25 percent and 10 percent. What is the final selling price of the television set?

Introduction / Context:
This percentage question deals with successive discounts on a marked or list price. Such questions often appear in shopping, commerce, and competitive exams. The key is to understand that successive discounts are applied one after another on the reduced price, not added directly as a single percentage on the original price.

Given Data / Assumptions:
- List price of the television = 2,300 rupees.
- First discount = 25 percent on the list price.
- Second discount = 10 percent on the already reduced price.
- We need the final selling price after both discounts.

Concept / Approach:
When two discounts are given successively, the second discount is not on the original price but on the price obtained after the first discount. Therefore, the effective multiplication factor is (1 - first discount) multiplied by (1 - second discount). We can compute each step separately or directly use the product of the remaining percentages to find the final price.

Step-by-Step Solution:
Step 1: First discount is 25 percent, so the price after the first discount is 75 percent of 2,300.Step 2: Compute 75 percent of 2,300: 0.75 * 2,300 = 1,725 rupees.Step 3: Second discount is 10 percent on 1,725, so the customer pays 90 percent of 1,725.Step 4: Compute 90 percent of 1,725: 0.90 * 1,725 = 1,552.5 rupees.Step 5: Therefore the selling price after both discounts is 1,552.5 rupees.

Verification / Alternative check:
An alternative is to compute the combined multiplicative factor in one step. After a 25 percent discount you pay 0.75 of the list price, and after a further 10 percent discount you pay 0.90 of that reduced price. So the net factor is 0.75 * 0.90 = 0.675. Then 0.675 * 2,300 = 1,552.5 rupees, which matches the earlier calculation, confirming the answer.

Why Other Options Are Wrong:
- 1,255.5 rupees and 1,525.5 rupees are too low and result from misapplying or compounding discounts incorrectly.
- 1,555.2 rupees is close but not exact and may result from a rounding or multiplication error. The exact computation leads to 1,552.5 rupees.

Common Pitfalls:
Many learners incorrectly add discounts directly, for example treating 25 percent plus 10 percent as a single 35 percent discount on the list price. This is wrong because the second discount is applied to a smaller base, not to the original amount. Another common mistake is doing percentage calculations with incorrect factors or rounding too early. Always convert discounts to their fractional or decimal equivalents and carefully apply them step by step.

Final Answer:
The final selling price of the television set is 1,552.5 rupees.