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A dealer sold two ACs at Rs. 5940 each. On selling one AC he gained 10% and on selling the other he lost 10%. Find the dealer’s gain or loss percent?
  • a)
    1% gain
  • b)
    1% loss
  • c)
    2% loss
  • d)
    2% gain
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A dealer sold two ACs at Rs. 5940 each. On selling one AC he gained 10...
5940 = (110/100)*cp1, cp1 = 5400
5940 = (90/100)*cp2, cp2 = 6600
So, CP = 5400 + 6600 = 12000
And selling price = 5940 + 5940 = 11880
% loss = (120/12000)*100 = 1
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Most Upvoted Answer
A dealer sold two ACs at Rs. 5940 each. On selling one AC he gained 10...
's overall profit or loss percentage.

Let the cost price of each AC be x.
Selling price of one AC = x + 10% of x = 1.1x
Selling price of the other AC = x - 10% of x = 0.9x

As both ACs are sold at Rs. 5940 each, we can form the following equation:

1.1x + 0.9x = 11880
2x = 11880
x = 5940

So, the cost price of each AC is Rs. 5940.

Now, let's calculate the dealer's profit or loss on each AC:

Profit on one AC = Selling price - Cost price = 1.1x - x = 0.1x
Profit on the other AC = Selling price - Cost price = 0.9x - x = -0.1x (as the dealer incurred a loss)

Overall profit or loss = Total profit / Total cost price

Total profit = 0.1x + (-0.1x) = 0
Total cost price = 2x = 2 * 5940 = 11880

Overall profit or loss percentage = (Total profit / Total cost price) * 100
= (0 / 11880) * 100
= 0%

Therefore, the dealer neither made a profit nor incurred a loss.
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Community Answer
A dealer sold two ACs at Rs. 5940 each. On selling one AC he gained 10...
5940 = (110/100)*cp1, cp1 = 5400
5940 = (90/100)*cp2, cp2 = 6600
So, CP = 5400 + 6600 = 12000
And selling price = 5940 + 5940 = 11880
% loss = (120/12000)*100 = 1
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