Switching from loss to a small profit: If a watch is sold for ₹ 120, there is a loss of 15%. To realize a profit of 2% on the same watch, at what price should it be sold?

Difficulty: Easy

Correct Answer: ₹ 144

Explanation:


Introduction / Context:
Recover the cost price from a loss scenario and then apply the desired small profit percentage to get the new selling price target.


Given Data / Assumptions:

  • SP_loss = ₹ 120 at 15% loss ⇒ SP = 0.85 * CP.
  • Desired profit = 2% on CP.


Concept / Approach:
CP = SP_loss / 0.85. Then SP_target = 1.02 * CP.


Step-by-Step Solution:
CP = 120 / 0.85 ≈ ₹ 141.176...SP_target = 1.02 * 141.176... ≈ ₹ 144


Verification / Alternative check:
Check: 2% of 141.176... is ≈ 2.8235; adding to CP gives ≈ 144, aligning with the exact integer option.


Why Other Options Are Wrong:

  • ₹ 165 / ₹ 175 / ₹ 185: far exceed the 2% margin over the derived CP.


Common Pitfalls:

  • Applying 2% to the loss-selling price rather than to the CP.


Final Answer:
₹ 144

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