Difficulty: Medium
Correct Answer: ₹ 1200
Explanation:
Introduction / Context:
This is a two-scenario price puzzle. In the real scenario, the seller gains 15% over cost. In a hypothetical scenario, both the cost and selling price are adjusted, resulting in a 10% profit. We form an equation in the unknown cost price and solve.
Given Data / Assumptions:
Concept / Approach:
Set 1.15C + 6 = 1.10 * (1.05C) and solve for C. This linear equation gives the original cost price directly.
Step-by-Step Solution:
Verification / Alternative check:
Original SP = 1.15 * 1200 = ₹ 1380. Alternate: cost = 1260; SP = 1386 ⇒ profit = 126 ⇒ 10% of 1260, consistent.
Why Other Options Are Wrong:
₹ 800, ₹ 900, ₹ 1000, and ₹ 1400 do not satisfy the equation 1.15C + 6 = 1.155C.
Common Pitfalls:
Adding or subtracting the percentages instead of multiplying, or forgetting that the alternate 10% is on the new cost.
Final Answer:
₹ 1200
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