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

Difficulty: Easy

Correct Answer: ₹ 8650

Explanation:


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

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