Question:

A shopkeeper marks his goods 40% above the cost price and then allows a discount of 25%. His profit percent is

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Mark-up factor times discount factor gives the net selling factor on cost; subtract 1 for profit.
Updated On: Jul 8, 2026
  • 5%
  • 10%
  • 15%
  • 12%
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The Correct Option is A

Solution and Explanation

Step 1: Assume a cost price.
Let the cost price be \(100\).
Step 2: Find the marked price.
Marked 40% above cost, so \(MP=100\times1.40=140\).
Step 3: Apply the discount.
Selling price \(=140\times(1-0.25)=140\times0.75=105\).
Step 4: Compute profit percent.
Profit \(=105-100=5\), so profit percent \(=5\%\).
\[\boxed{5\%}\]
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