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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.

Question

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.

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Solution

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(youcanchooseanyvalue,itwillnotaffectthefinalpercentage).So,thecostpriceof800gm(whichtheshopkeeperisactuallybuying)wouldbe100 (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)for80) for 110 (because 110% of 100is100 is 110).

Step 4: Calculate the actual profit percentage The actual profit is the selling price minus the cost price, which is 110110 - 80 = 30.Theprofitpercentageistheprofitdividedbythecostprice,multipliedby100.So,theactualprofitpercentageis(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%.

This problem has been solved

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