Two successive discounts to reach a target price: Market price of a clock is ₹3200. It is sold for ₹2448 after two successive discounts. If the first discount is 10%, what is the second discount?

Introduction / Context:
Successive discounts apply multiplicatively to MP. After the first discount, apply the unknown second discount to match the final selling price (SP). Solve for the second discount percentage directly from the ratio of SP to the intermediate price.

Given Data / Assumptions:

• MP = ₹3200
• First discount = 10% ⇒ after first cut, price = 3200 * 0.90 = ₹2880
• Final SP = ₹2448

Concept / Approach:
Let second discount be d. Then 2880 * (1 − d) = 2448 ⇒ 1 − d = 2448/2880.

Step-by-Step Solution:

Verification / Alternative check:
Check: 3200 → 2880 (−10%); then −15% gives 2880 * 0.85 = 2448, as required.

Why Other Options Are Wrong:
5%, 10%, 20%, 25% fail the ratio 2448/2880 = 0.85.

Common Pitfalls:
Subtracting percentages directly rather than compounding them.

Final Answer:
15 %