Successive discounts on a marked price of ₹500: first 20% off and then 10% off. What is the final selling price?

Introduction / Context:
Compute the selling price after two successive discounts on a known marked price. Each discount applies to the current price after the previous reduction, not to the original marked price again.

Given Data / Assumptions:

• Marked Price = ₹500
• First discount = 20% ⇒ multiply by 0.80
• Second discount = 10% ⇒ multiply by 0.90

Concept / Approach:
Final price = 500 * 0.80 * 0.90. This is equivalent to a single 28% discount, but computing stepwise avoids mistakes.

Step-by-Step Solution:
After 20% off: 500 * 0.80 = ₹400After 10% off: 400 * 0.90 = ₹360

Verification / Alternative check:
Overall retention = 0.72; 500 * 0.72 = 360. Equivalent overall discount is 28%.

Why Other Options Are Wrong:
₹400 stops after the first discount; ₹375 and ₹350 do not match the multiplicative process.

Common Pitfalls:
Adding discounts linearly (20% + 10% = 30%)—incorrect for successive reductions.

Final Answer:
₹ 360