Question : A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less. Find his actual profit percentage.
Option 1: 42.5%
Option 2: 50%
Option 3: 40%
Option 4: 43.75%
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Correct Answer: 43.75%
Solution :
Given: A shopkeeper sells an item at a profit of 15%.
False weight used = 20% less than the actual weight
Let the cost price of 100 gm = Rs. 100 if the cost price of 1 gm is Re. 1
Selling price of 100 gm = Rs. 115
False weight used of 20%. So,
Actual cost price = cost price of 80 gm = Rs. 80
So, profit % = $\frac{\text{Selling price of 100 gm – Cost price of 80 gm}}{\text{Cost of 80 gm}}$ × 100%
= $\frac{35}{80}$ × 100 = 43.75%
Hence, the correct answer is 43.75%.
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