A dealer sells two laptops at the rate of Rs. 4680 per laptop. On one he gains 30 percent and on the other he suffers a loss of 40 percent. What is his percentage loss in the whole transaction?

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  1. 16.66 percent
  2. 13.25 percent
  3. 18 percent
  4. 17.89 percent

Answer (Detailed Solution Below)

Option 4 : 17.89 percent
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Detailed Solution

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Given:

Selling Price of both laptops = ₹4680 each

Gain on one = 30%

Loss on other = 40%

Formula used:

CP = SP × 100 / (100 ± Gain or Loss%)

Total CP = CP₁ + CP₂

Overall Loss% = (Total CP - Total SP) / Total CP × 100

Calculation:

CP of first laptop (gain 30%) = 4680 × 100 / 130 = 3600

CP of second laptop (loss 40%) = 4680 × 100 / 60 = 7800

Total CP = 3600 + 7800 = 11400

Total SP = 4680 × 2 = 9360

Loss = 11400 - 9360 = 2040

Loss% = (2040 / 11400) × 100 = 17.89%

∴ Overall loss = 17.89%

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