Gaurav bought the first pen for ₹444 and the second pen for ₹356, respectively. He sells the first pen at 75% of the profit but the buyer bargains for the price, and he has to offer a 14% discount and the second pen at 48% of the profit. Find the total profit he had in this transaction (correct to two decimal places).

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 06 Jun, 2025 Shift 3)
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  1. ₹396.11
  2. ₹395.10
  3. ₹399.02
  4. ₹394.67

Answer (Detailed Solution Below)

Option 2 : ₹395.10
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Detailed Solution

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Given:

Cost Price of first pen = ₹444

Cost Price of second pen = ₹356

Profit on first pen = 75% of CP

Discount on first pen = 14%

Profit on second pen = 48% of CP

Formula used:

Marked Price = CP + Profit% of CP

Selling Price = MP − Discount% of MP

Profit = SP − CP

Calculation:

First Pen:

⇒ MP = 444 + 75% of 444

⇒ MP = 444 + 0.75 × 444 = 444 + 333 = ₹777

⇒ SP = 777 − 14% of 777 = 777 − 0.14 × 777 = 777 − 108.78 = ₹668.22

⇒ Profit = 668.22 − 444 = ₹224.22

Second Pen:

⇒ Profit = 48% of 356 = 0.48 × 356 = ₹170.88

⇒ SP = 356 + 170.88 = ₹526.88

⇒ Profit = 526.88 − 356 = ₹170.88

Total Profit:

⇒ 224.22 + 170.88 = ₹395.10

∴ Total Profit = ₹395.10

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