A shopkeeper sells his goods at a profit of 10%. But he used weight of 800 gm instead of 1000 gm while buying. Find his actual profit.

Sure, here is the step by step solution:

Step 1: Understand the problem The shopkeeper is selling his goods at a profit of 10%. However, he is buying goods at a weight of 800 gm instead of 1000 gm. This means he is getting more goods for the same price, which increases his profit.

Step 2: Calculate the cost price Let's assume the cost price of 1000 gm is $100 (you can choose any value, it will not affect the final percentage). So, the cost price of 800 gm (which the shopkeeper is actually buying) would be$80 (because 800 is 80% of 1000).

Step 3: Calculate the selling price The shopkeeper sells his goods at a profit of 10%. So, he sells the goods (which he bought for $80) for$110 (because 110% of $100 is$110).

Step 4: Calculate the actual profit percentage The actual profit is the selling price minus the cost price, which is $110 -$80 = $30. The profit percentage is the profit divided by the cost price, multiplied by 100. So, the actual profit percentage is ($30 / $80) * 100 = 37.5%.

So, the shopkeeper's actual profit is 37.5%.