Question:

A shopkeeper marked his goods 40% higher than their cost price and allows 20% discount on every item. Find his net profit percentage.

Updated On: May 11, 2025
  • 20%
  • 15%
  • 12%
  • 10%
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The Correct Option is C

Solution and Explanation

To determine the net profit percentage, first calculate the marked price (MP) of the goods. Suppose the cost price (CP) is $100. Since the marked price is 40% higher than the cost price, we can calculate it as:
MP = CP + 40% of CP = 100 + (40/100) * 100 = 100 + 40 = 140
The shopkeeper offers a 20% discount on the marked price. Therefore, the selling price (SP) can be calculated as:
SP = MP - 20% of MP = 140 - (20/100) * 140 = 140 - 28 = 112
Now, calculate the profit by finding the difference between the selling price and the cost price:
Profit = SP - CP = 112 - 100 = 12
The net profit percentage is given by the formula:
Profit Percentage = (Profit / CP) * 100 = (12 / 100) * 100 = 12%
Thus, the shopkeeper makes a net profit percentage of 12%.
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