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If a merchant offers a discount of 20% on the list price, then she makes a loss of 16%. What % profit or % loss will she make if she sells…

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If a merchant offers a discount of 20% on the list price, then she makes a loss of 16%. What % profit or % loss will she make if she sells goods at a discount of 10% of the list price?
  • A14 percent profit
  • B20 percent profit
  • C50 percent profit
  • D5.5 percent loss
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CCommunity
Let MP of goods be 100

Let CP of goods be x

SP = 100 - 20% of 100 = 80

⇒ x - 16% of x = 80

⇒ x = 80/0.84 ≈ 95.24

If discount is 10%

SP = 100 - 10% of 100 = 90

80/0.84 - Loss = 90

⇒ 80/0.84 - 90 = Loss

⇒ Loss = 110/21

∴ Loss% = [(110/21)/(80/0.84)] × 100 = 5.5%