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By selling 33m of carpet, a man loses an amount equal to the selling price of 6m of carpet. Find his gain or loss percent ?
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By selling 33m of carpet, a man loses an amount equal to the selling p...
Given:
- The man sells 33m of carpet.
- He incurs a loss equal to the selling price of 6m of carpet.

To Find:
- The gain or loss percentage.

Solution:

Step 1: Calculate the cost price of 33m of carpet.
Let's assume the cost price of 1m of carpet is C.
Therefore, the cost price of 33m of carpet will be 33C.

Step 2: Calculate the selling price of 6m of carpet.
Since the loss incurred is equal to the selling price of 6m of carpet, we can assume the selling price of 6m of carpet is S.
Therefore, the selling price of 6m of carpet will be 6S.

Step 3: Calculate the total loss.
The total loss incurred by the man is equal to the selling price of 6m of carpet. Therefore, the total loss is 6S.

Step 4: Calculate the selling price of 33m of carpet.
Since the man sells 33m of carpet, the selling price of 33m of carpet will be 33S.

Step 5: Calculate the gain or loss.
The gain or loss can be calculated by subtracting the selling price from the cost price.
Gain/Loss = Cost Price - Selling Price

In this case, the man incurs a loss, so the formula becomes:
Loss = Cost Price - Selling Price

Substituting the values:
Loss = 33C - 33S

Step 6: Calculate the loss percentage.
Loss Percentage = (Loss / Cost Price) * 100

Substituting the values:
Loss Percentage = (33C - 33S) / (33C) * 100

Step 7: Simplify the expression.
Loss Percentage = (1 - S/C) * 100

Conclusion:
The man incurs a loss equal to (1 - S/C) * 100 percent.
Community Answer
By selling 33m of carpet, a man loses an amount equal to the selling p...
Gain
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By selling 33m of carpet, a man loses an amount equal to the selling price of 6m of carpet. Find his gain or loss percent ?
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