Profit and Loss – Recovering cost price from a known selling price and loss rate: A gold bracelet is sold for ₹ 14500 at a loss of 20%. What is the cost price of the bracelet?

Introduction / Context:Given SP and a loss percentage, compute CP using the loss relationship.

Given Data / Assumptions:

• SP = ₹ 14500
• Loss% = 20%

Concept / Approach:For loss L%: SP = (1 - L/100) * CP ⇒ CP = SP / (1 - L/100).

Step-by-Step Solution:CP = 14500 / 0.80 = 18125

Verification / Alternative check:20% of 18125 is 3625; SP = 18125 - 3625 = 14500, consistent.

Why Other Options Are Wrong:17400, 15225, 16800, and 14900 do not satisfy the loss relation.

Common Pitfalls:Dividing by 1.20 instead of 0.80.

Final Answer:₹ 18,125