Profit and Loss – Recovering cost price from a known selling price and loss rate: A gold bracelet is sold for ₹ 14500 at a loss of 20%. What is the cost price of the bracelet?
Aptitude
Profit and Loss
Difficulty: Easy
Choose an option
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A₹ 18,125
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B₹ 17,400
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C₹ 15,225
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D₹ 16,800
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E₹ 14,900
Answer
Correct Answer: ₹ 18,125
Explanation
Introduction / Context:Given SP and a loss percentage, compute CP using the loss relationship.
Given Data / Assumptions:
- SP = ₹ 14500
- Loss% = 20%
Concept / Approach:For loss L%: SP = (1 - L/100) * CP ⇒ CP = SP / (1 - L/100).
Step-by-Step Solution:CP = 14500 / 0.80 = 18125
Verification / Alternative check:20% of 18125 is 3625; SP = 18125 - 3625 = 14500, consistent.
Why Other Options Are Wrong:17400, 15225, 16800, and 14900 do not satisfy the loss relation.
Common Pitfalls:Dividing by 1.20 instead of 0.80.
Final Answer:₹ 18,125