A furniture shop owner charges 18% above cost price. If a customer paid ₹10,207 for a dining table, find the original cost price.

Introduction / Context:Selling price being a fixed percentage above cost enables direct back-calculation. We simply divide the paid amount by 1.18 to recover the cost price (CP).

Given Data / Assumptions:

• Selling price (SP) = ₹10,207.
• SP = 1.18 * CP.

Concept / Approach:Rearrange to CP = SP / 1.18. This is a classic reverse-percentage calculation.

Step-by-Step Solution:CP = 10,207 / 1.18 = ₹8,650

Verification / Alternative check:Check: 8,650 * 1.18 = 8,650 + 1,557 = ₹10,207, confirming the exact match to the paid amount.

Why Other Options Are Wrong:₹9,240/₹9,840/₹7,670 do not yield ₹10,207 upon multiplying by 1.18.

Common Pitfalls:Subtracting 18% of SP rather than dividing by 1.18; mixing discount logic with markup logic.

Final Answer:₹ 8650