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What is the maximum percentage discount that a shopkeeper can offer on his marked price so that he ends up selling at no profit or loss, if…

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What is the maximum percentage discount that a shopkeeper can offer on his marked price so that he ends up selling at no profit or loss, if he had initially marked his goods up by 40%?
  • A20%
  • B23.5%
  • C28.5%
  • D34.5%
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CCommunity
Let the cost price of the goods to be Rs. 100

He had initially marked his goods up by 40%.

∴ After40% mark-up,

⇒ MP = Rs. 100 + 40% of Rs. 100

⇒ Rs.100 + Rs. 40 = Rs. 140

So,He offers a discount of Rs. 40 on his MP of Rs. 140

∴ The % discount offered by him = (Discount)/(Marked Price) × 100

⇒ (40/140) × 100 = 28.5%

∴ The % discount offered by him is 28.5%