Prem sells an article to Ria at a profit of 20%. Ria sells the article back to Prem at a loss of 20%. In this transaction:

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RPF Constable 2024 Official Paper (Held On: 02 Mar, 2025 Shift 1)
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  1.  Ria makes a profit of 24%
  2.  Prem makes a profit of 12%
  3. Ria incurs a loss of 12%
  4.  Prem makes a profit of 24%

Answer (Detailed Solution Below)

Option 4 :  Prem makes a profit of 24%
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Detailed Solution

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Given:

Prem sells an article to Ria at a profit of 20%.

Ria sells the article back to Prem at a loss of 20%.

Formula used:

If profit = P% then,

S.P = C.P × (100 + P)%

If loss = L% then,

S.P = C.P × (100 - L)%

Calculation:

Let the C.P = 100

Prem's S.P = 100 × 120% = 120

Ria's C.P = 120

Ria's S.P = 120 × 80% = 96

Prem's total profit = (120 - 100) + (100 - 96)

⇒ 20 + 4 = 24

% Profit for Prem = (24 × 100)/100 = 24%

∴ The correct answer is option (4).

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