An article was bought for ₹8,100. Its price was marked up by 40%. Thereafter it was sold at a discount of 15% on the marked price. What was the percentage profit on the transaction?

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 06 Jun, 2025 Shift 3)
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  1.  20%
  2. 18%
  3. 19%
  4. 17%

Answer (Detailed Solution Below)

Option 3 : 19%
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Detailed Solution

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Given:

Cost Price (CP) = ₹8,100

Marked-up by 40% → Marked Price (MP) = CP + 40% of CP

Discount = 15% on Marked Price

Formula used:

Marked Price = \(CP \times \left(1 + \frac{40}{100}\right)\)

Selling Price (SP) = \(MP \times \left(1 - \frac{15}{100}\right)\)

Profit % = \(\frac{SP - CP}{CP} \times 100\)

Calculation:

MP = 8100 × 1.40 = ₹11,340

SP = 11,340 × 0.85 = ₹9,639

Profit = 9,639 − 8,100 = ₹1,539

Profit % = (1,539 ÷ 8,100) × 100 = 19%

∴ The percentage profit on the transaction is 19%.

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