A trader fixes the price of an article so that after giving a rebate (discount) of 10% on the fixed price, he still makes a profit of 15%. If the cost price is ₹72, what fixed (marked) price should he put on it?

Introduction / Context:
This is a straightforward link between cost price, discount, and desired profit. After discounting the marked price, the resulting selling price must still deliver the target profit on cost. We equate these values to compute the required marked price.

Given Data / Assumptions:

• Cost price (CP) = ₹72.
• Discount on marked price = 10%.
• Desired profit on CP = 15%.

Concept / Approach:
If M is the marked price, selling price SP = 0.90 * M. Also, target SP from cost/profit is SP = 1.15 * 72. Set these equal to find M.

Step-by-Step Solution:
Target SP = 1.15 * 72 = ₹82.800.90 * M = 82.80 ⇒ M = 82.80 / 0.90 = ₹92.00

Verification / Alternative check:
Check: 10% off ₹92 = ₹82.80; profit = 82.80 − 72 = ₹10.80 = 15% of 72. Perfect.

Why Other Options Are Wrong:
₹82.80 is the selling price, not the marked price; ₹90.00 and ₹97.80 do not satisfy the exact discount-profit linkage.

Common Pitfalls:
Applying the 10% discount to cost instead of the marked price; mixing the profit base (CP) and discount base (M).

Final Answer:
₹ 92.00