Question

What is the gain per cent, while selling 33 m of cloth, if there is a gain equal to the selling price of 11 m?

• A. 60%
• B. 50%
• C. 25%
• D. 45%

Answer 1

Answer:

B. 50%

1. Understand the Problem:

The problem states that the gain earned is equal to the selling price of 11 meters of cloth. This means that the profit made from selling 33 meters of cloth is the same as the revenue generated from selling 11 meters.

2. Set Up:

• Let the cost price of 1 meter of cloth be 'c'.

• Let the selling price of 1 meter of cloth be 's'.

3. Formulate Equations:

• Cost price of 33 meters = 33c

• Selling price of 33 meters = 33s

• Selling price of 11 meters = 11s

• Profit = Selling price of 33 meters - Cost price of 33 meters = 33s - 33c

• Given: Profit = Selling price of 11 meters, so 33s - 33c = 11s

4. Solve for Gain Percentage:

• Simplify the equation: 33s - 33c = 11s => 22s = 33c => s = (3/2)c (This means the selling price per meter is 1.5 times the cost price per meter)

• Gain per meter = s - c = (3/2)c - c = c/2

• Gain percentage = (Gain per meter / Cost price per meter) 100 => Gain percentage = [(c/2) / c] 100 = 50%

Therefore, the gain percentage while selling 33 meters of cloth is 50%.