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Profit obtained from selling an article for Rs 310 equals the loss incurred on selling that article for Rs 230. What will be the loss percentage when the selling price is Rs 180?
  • a)
    20
  • b)
    33 1/3
  • c)
    40
  • d)
    33 2/3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Profit obtained from selling an article for Rs 310 equals the loss in...
As the percentage of profit is equal to percentage of loss,
Profit/loss = (310 - 230) / 2
⇒ 80 / 2 = 40
Cost price = (230 + 40) or (310 - 40) = 270
Loss percentage when selling price is 180 = {(270 - 180) / 270} x 100
⇒ (90/270) x 100 = 100/3 = 33 1/3
Hence, option C is the correct answer.
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Most Upvoted Answer
Profit obtained from selling an article for Rs 310 equals the loss in...
Given information:
- Profit obtained from selling an article for Rs 310 equals the loss incurred on selling that article for Rs 230.

Let's assume the cost price of the article is Rs x.

Profit obtained from selling the article for Rs 310 is given as:
Selling price - Cost price = Rs 310
310 - x = Profit

Loss incurred from selling the article for Rs 230 is given as:
Cost price - Selling price = Rs 230
x - 230 = Loss

Since the profit obtained is equal to the loss incurred, we can equate the two equations:
310 - x = x - 230

Simplifying the equation, we get:
310 + 230 = 2x
540 = 2x
x = 270

Now, we can calculate the loss percentage when the selling price is Rs 180.

Loss = Cost price - Selling price
Loss = 270 - 180
Loss = 90

Loss percentage can be calculated using the formula:
Loss percentage = (Loss/Cost price) * 100

Substituting the values:
Loss percentage = (90/270) * 100
Loss percentage = (1/3) * 100
Loss percentage = 33 1/3

Therefore, the loss percentage when the selling price is Rs 180 is 33 1/3, which is option B.
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Profit obtained from selling an article for Rs 310 equals the loss incurred on selling that article for Rs 230. What will be the loss percentage when the selling price is Rs 180?a)20b)33 1/3c)40d)33 2/3Correct answer is option 'B'. Can you explain this answer?
Question Description
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