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A man sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sol…

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A man sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 20% and the second articles is sold at a loss of 20%. What is the ratio of the selling price of the first article and the cost price of the second article?
  • A24 : 25
  • B25 : 24
  • C29 : 27
  • D27 : 29
Answer not set

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Let the cost price of the first article be Rs. ‘x’

But, the first article is sold at a profit of 20%,

⇒$ Selling price of first article = x + 20% of x = x + x/5 = (6/5)x

Now,

Selling price of second article = Cost price of first article = Rs. x

But, the second article is sold at a loss of 20%,

⇒$ (100 - 20)% of Cost price of second article = Selling price

⇒$ 80% of Cost price of second article = Selling price

⇒$ (4/5) × Cost price of second article = x

⇒$ Cost price of second article = (5/4)x

∴ Required ratio = (6x/5) ? (5x/4) = 24 ? 25