Question:

The marked price of an article is \(20%\) more than the cost price. If the article is sold at a discount of \(15%\) on its marked price, then the gain percent is:

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In percentage profit-loss problems, assuming CP = 100 often simplifies calculations, as all percentages then directly translate into monetary values without complex equations.
Updated On: Aug 14, 2025
  • \(5\)
  • \(4\dfrac{1}{2}\)
  • \(2\dfrac{1}{2}\)
  • \(2\)
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The Correct Option is D

Solution and Explanation

Step 1: Assume a convenient cost price (CP).
Let CP = \(100\) units. Marked Price (MP) = \(100 + 20%\ \text{of}\ 100 = 120\) units. Step 2: Apply the given discount.
Discount = \(15%\) of MP = \(0.15 \times 120 = 18\) units. Selling Price (SP) = MP - Discount = \(120 - 18 = 102\) units. Step 3: Calculate gain percent.
Gain = SP - CP = \(102 - 100 = 2\) units. Gain percent = \(\frac{2}{100} \times 100% = 2%\). \[ \boxed{2%} \]
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