Difficulty: Easy
Correct Answer: ₹ 1850
Explanation:
Introduction / Context:
Recovering CP from SP when a gain% is known is a routine reversal of the percentage increase formula. It is widely used in profit-and-loss aptitude questions.
Given Data / Assumptions:
Concept / Approach:
Invert the multiplier: CP = SP / 1.20. Substitute and compute accurately.
Step-by-Step Solution:
Verification / Alternative check:
Forward check: SP = 1.20 * 1850 = 2220, confirming correctness.
Why Other Options Are Wrong:
₹ 1750, ₹ 1876, ₹ 1776, and ₹ 1800 do not yield SP = ₹ 2220 under a 20% profit when multiplied by 1.20.
Common Pitfalls:
Subtracting 20% from SP or computing profit% on SP. Gain is applied on CP; to find CP from SP, divide by 1.20.
Final Answer:
₹ 1850
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