Finding loss percent from SP and absolute loss An article is sold for Rs 100 incurring a loss of Rs 10. What is the loss percentage?

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:

  • SP = Rs 100.
  • Loss = Rs 10.
  • Find loss % on CP.


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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