By selling 33 metres of cloth, a person gains the cost of 11 metres. Find his gain %.

Sure, here is the step by step solution:

Step 1: Understand the problem The person sells 33 meters of cloth and gains the cost of 11 meters. This means that the cost of 11 meters of cloth is his profit.

Step 2: Calculate the cost price If the selling price of 33 meters of cloth is equal to the cost price of 33 meters of cloth plus the cost of 11 meters of cloth (which is the profit), then the cost price of 33 meters of cloth is the selling price of 33 meters of cloth minus the cost of 11 meters of cloth. But since the selling price of 33 meters of cloth is not given, we can assume the cost price of 1 meter of cloth to be x. Therefore, the cost price of 33 meters of cloth is 33x.

Step 3: Calculate the selling price The selling price of 33 meters of cloth is the cost price of 33 meters of cloth plus the profit. The profit is the cost of 11 meters of cloth, which is 11x. Therefore, the selling price of 33 meters of cloth is 33x + 11x = 44x.

Step 4: Calculate the gain percentage The gain percentage is calculated by dividing the profit by the cost price and then multiplying the result by 100. The profit is the cost of 11 meters of cloth, which is 11x. The cost price is the cost of 33 meters of cloth, which is 33x. Therefore, the gain percentage is (11x / 33x) * 100 = 33.33%.

So, the person's gain is 33.33%.