Ram sold a plot for Rs. 4,00,000 at a 20% loss. For what price should he sell the plot to gain a 5% profit?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. Rs. 5,25,000
  2. Rs. 5,20,000
  3. Rs. 5,00,000
  4. Rs. 5,05,000

Answer (Detailed Solution Below)

Option 1 : Rs. 5,25,000
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Detailed Solution

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Given:

SP = Rs. 4,00,000

Loss% = 20%

New Profit = 5%

Calculation:

Let CP be 100x

Now, SP after 20% loss = Rs. 100x × (100 – 20)%

⇒ Rs. 80x

And, SP after 5% profit = Rs. 100x × (100 + 5)%

⇒ Rs. 105x

According to the question, ⇒

80x = Rs. 4,00,000

⇒ 105x = Rs. (4,00,000/80) × 105

⇒ Rs. 5,25,000

∴ The required selling price is Rs. 5,25,000.

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