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Option 5 : Either Statement (I) or (III) and statement (II) are required

Statement I and II:

If someone buys 6 articles at marked price, he gets 2 articles free and the profit earned by the shopkeeper is 12.5%

⇒ × 100 = 12.5

⇒ 6MP - 8CP = CP

⇒ 6MP = 9CP

⇒ MP ∶ CP = 9 ∶ 6 = 3 ∶ 2

Statement II and III:

Discount of 25% is provided on marked price. Profit earned by the shopkeeper is 12.5%

⇒ × 100 = 12.5

⇒ 0.75MP = 1.125CP

⇒ MP ∶ CP = 3 ∶ 2

∴ Either Statement (I) or (III) and statement (II) are required to answer the question

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