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:
CP = 2220 / 1.20Compute: 2220 / 1.20 = 1850Thus CP = ₹ 1850Verification / 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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