On selling an item for 440 rupees, loss is 60% of the profit received on selling the same item in 1000 rupees. Know the purchase price of that item? (In rupees)

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RPF SI Previous Paper 1 (Held On: 5 Jan 2019 Shift 1)
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  1. 650
  2. 680
  3. 660
  4. 670

Answer (Detailed Solution Below)

Option 1 : 650
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Detailed Solution

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Calculation:

Let cost price of the item be Rs. x

According to the question

(x – 440) = (1000 – x) × 60/100

⇒ (x – 440) = (1000 – x) × 3/5

⇒ 5x – 2200 = 3000 – 3x

⇒ 5x + 3x = 3000 + 2200

⇒ 8x = 5200

⇒ x = 5200/8

⇒ x = 650

∴ The correct answer is option (1).

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