Difficulty: Easy
Correct Answer: 9 1/11%
Explanation:
Introduction / Context:
Loss percent is always calculated on cost price. When selling price and absolute loss are known, first compute the cost price, then use loss% = (loss / CP) * 100.
Given Data / Assumptions:
Concept / Approach:
Loss = CP - SP, so CP = SP + Loss. Then compute percentage relative to CP.
Step-by-Step Solution:
CP = 100 + 10 = 110.Loss % = (10 / 110) * 100 = 9.0909... % = 9 1/11%.
Verification / Alternative check:
If CP = 110 and loss is 9 1/11% (= 1/11), then loss = 110 × (1/11) = 10 and SP = 100 (matches data).
Why Other Options Are Wrong:
10% uses SP as base; 8 1/3% and 11 1/9% do not match the computed CP.
Common Pitfalls:
Computing the percentage on SP instead of CP or rounding 9.09% improperly to 10%.
Final Answer:
9 1/11%
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