A shopkeeper sold a pair of headphones for Rs 5,520 at a gain of 20%. What would have been the gain or loss percent if it had been sold fo rs 4,370?
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ssc cgl 2023 pre
Gain 15%
Incorrect AnswerLoss 10%
Incorrect AnswerExplanation:
- Initial selling price was Rs 5,520 with a 20% gain.
- Calculate the cost price (CP):
\[
\text{CP} = \frac{\text{Selling Price}}{1 + \text{Gain\%}} = \frac{5520}{1.2} = 4600
\]
- If sold for Rs 4,370:
- Loss amount = CP - New Selling Price = 4600 - 4370 = 230
- Loss percent = \(\left(\frac{\text{Loss Amount}}{\text{CP}}\right) \times 100 = \left(\frac{230}{4600}\right) \times 100 = 5\%\)
- Options evaluation:
- Gain 15%: Incorrect
- Loss 5%: Correct
- Gain 2%: Incorrect
- Loss 10%: Incorrect
By: Parvesh Mehta ProfileResourcesReport error