Profit and Loss — Selling an article for ₹ 625 produces the same magnitude of profit as the magnitude of loss when selling it for ₹ 435. Determine the Cost Price (CP).

Introduction / Context: If the profit over CP at one SP equals the loss below CP at another SP, then CP is the midpoint of the two SPs equidistant around it.

Given Data / Assumptions:

• SP_high = ₹ 625 (profit)
• SP_low = ₹ 435 (loss)
• |625 − CP| = |CP − 435|

Concept / Approach: CP lies exactly halfway between 625 and 435: CP = (625 + 435)/2.

Step-by-Step Solution:

Verification / Alternative check: Distance from CP: 625 − 530 = 95; 530 − 435 = 95; equal magnitudes confirm the condition.

Why Other Options Are Wrong: ₹ 520, ₹ 540, ₹ 550, and ₹ 560 are not the midpoint and would not yield equal profit and loss magnitudes.

Common Pitfalls: Averaging percentages instead of amounts; here the equality refers to absolute rupee differences from CP.

Final Answer: ₹ 530