Difficulty: Easy
Correct Answer: lost Rs. 2
Explanation:
Introduction / Context: This is the rupee-value variant of the equal and opposite percentage effect. Even with the same selling price for both items, a 20% gain and a 20% loss do not balance; the loss outweighs the gain.
Given Data / Assumptions:
Concept / Approach: Convert each selling condition to the underlying cost price (CP). Then sum CPs and compare to total SP to get the overall rupee difference (gain or loss).
Step-by-Step Solution:
Book 1: 24 = 1.20 * CP1 ⇒ CP1 = 24 / 1.20 = 20 Book 2: 24 = 0.80 * CP2 ⇒ CP2 = 24 / 0.80 = 30 Total CP = 20 + 30 = 50; Total SP = 24 + 24 = 48 Net result = SP − CP = 48 − 50 = −2 ⇒ lost ₹ 2Verification / Alternative check: Percentage-wise: loss% on total cost = 2/50 * 100 = 4% loss (not asked, but consistent with the tables example).
Why Other Options Are Wrong: “gained Rs. 1/2” contradicts the computed −2; “no profit no loss” is false.
Common Pitfalls: Averaging +20% and −20% to 0% and concluding no profit/loss, which ignores differing CP bases.
Final Answer: lost Rs. 2
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