In selling 33 m cloth, Rani's profit is equal to the selling price of 11 m cloth, then what is her gain percent?

Correct option is B

Given:

Let the selling price (SP) of 1 meter of cloth be x .
Rani sells 33 meters of cloth and her profit is equal to the selling price of 11 meters of cloth.

Solution:

Selling Price (SP) of 33 meters of cloth = 33x
Profit = Selling Price of 11 meters of cloth = 11x
Now, let the Cost Price (CP) of 33 meters of cloth be y .
Since Profit = Selling Price - Cost Price, we have:
11x = 33x - y

y = 33x - 11x = 22x
Thus, the Cost Price of 33 meters of cloth is 22x .
Now, we calculate the Gain Percent using the formula:
Gain Percent = $$\frac{\text{Profit}}{\text{Cost Price}} \times 100$$

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Gain Percent = $$\frac{11x}{22x} \times 100 = 50\%$$​​
Rani's gain percent is 50%.