Profit and Loss — Rajan sells an article for ₹ 6000 at a loss of 25%. Determine the original Cost Price (CP) using SP = (1 − 25%) * CP and present the exact value.

Introduction / Context: A stated loss% allows direct recovery of CP from a known SP by dividing SP by the remaining percentage factor. This is a basic yet essential transformation in profit-and-loss questions.

Given Data / Assumptions:

• SP = ₹ 6000
• Loss% = 25%
• Loss is on CP

Concept / Approach: With a 25% loss, SP = 0.75 * CP. Hence CP = SP / 0.75. Substitute and compute.

Step-by-Step Solution:

Verification / Alternative check: Check forward: 25% of 8000 = 2000; SP = 8000 − 2000 = 6000, which matches the given SP.

Why Other Options Are Wrong: ₹ 7500, ₹ 7200, ₹ 8500, and ₹ 7000 fail to produce SP = ₹ 6000 when a 25% loss is applied to CP.

Common Pitfalls: Multiplying SP by 0.75 instead of dividing by 0.75, or mistakenly applying the percentage on SP rather than on CP.

Final Answer: ₹ 8000