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:
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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