Diksha marks up an item by Rs 150 and sells it at a discount of 10% such that she earns a percentage profit of 20%. At what price did she sell the item?

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RRB PO Prelims Memory Based Paper (Held On: 4 August 2024 Shift 4)
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  1. 520
  2. 560
  3. 440
  4. 460
  5. 540

Answer (Detailed Solution Below)

Option 5 : 540
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Detailed Solution

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Calculation

Let cost price = x

Marked price = x + 150

Selling price = 90% of marked price = 0.9(x+150)

Profit = 20%

→ Selling price = 1.2x

So, 0.9(x + 150) = 1.2x

⇒0.9x + 135 = 1.2x

⇒ 135 = 0.3x

⇒ x = 450

Selling Price = 1.2 × 450 = Rs.540

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