Setting a selling rate for a target margin: Meera purchases 23 bracelets at ₹ 160 each. At what selling price per bracelet should she sell to earn a 15% profit?
Aptitude
Profit and Loss
Difficulty: Easy
Choose an option
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A₹ 184
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B₹ 186
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C₹ 192
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D₹ 198
Answer
Correct Answer: ₹ 184
Explanation
Introduction / Context:This is a direct markup question. The per-unit selling price for a target profit% is obtained by multiplying the unit cost by (1 + profit%). Total quantity does not affect the unit rate when the margin is uniform.
Given Data / Assumptions:
- Quantity = 23 bracelets (irrelevant to unit rate since uniform).
- CP per bracelet = ₹ 160.
- Target profit = 15%.
Concept / Approach:SP per unit = CP per unit * (1 + 0.15).
Step-by-Step Solution:SP per bracelet = 160 * 1.15 = ₹ 184
Verification / Alternative check:Margin per bracelet = ₹ 24, which is 15% of ₹ 160. Multiplying by 23 would give the total profit, consistent with the per-unit approach.
Why Other Options Are Wrong:
- ₹ 186 / ₹ 192 / ₹ 198: correspond to 16.25%, 20%, and 23.75% respectively, not the target 15%.
Common Pitfalls:
- Mistakenly adjusting for the quantity when the margin is per-unit fixed.
Final Answer:₹ 184