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  9. Q8

SSC MTS & Havaldar 2024 · Question 8 of 76

A man sells an article at a certain price and suffers a loss of 20%. If he sells the article at `100 more, he gets a profit of 30%. Find the cost price of the article (in `).

  1. A250
  2. B300
  3. C400
  4. D200Correct

Answer: D. 200

Explanation

Loss = 20% Let CP = x So, SP = x x −× 20 100 So, SP = x – x 5 = 4 5 x Now, new SP = 4 5 x +100, profit = 30% ∴ 30 = 4 5 100 100 x x x + − × 30 100 x = 100 5 −x ⇒ 30 20 100 x x + = 100 ⇒ 50x = 10000 ⇒ x = 200

Source: SSC MTS 2024 (30-Sep-2024 Shift 1) solved paper with key+explanations, via oswaal360.com · reliable-secondary

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