The cost price of 27 articles is the same as the selling price of x articles. If the profit is 35%, then the value of x is:

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  1. 18
  2. 20
  3. 22
  4. 24

Answer (Detailed Solution Below)

Option 2 : 20
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Detailed Solution

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Given:

Cost price of 27 articles = Selling price of x articles

Profit percentage = 35%

Formula used:

Selling price = Cost price + Profit

Selling price of 1 article = Cost price × (1 + Profit percentage)

Calculation:

Let the cost price of each article be ₹1.

Cost price of 27 articles = ₹27

Selling price of 1 article = ₹1 × (1 + 0.35) = ₹1.35

Total selling price of x articles = ₹1.35 × x

Given, Cost price of 27 articles = Selling price of x articles:

⇒ ₹27 = ₹1.35 × x

⇒ x = ₹27 / ₹1.35

⇒ x = 20

∴ The value of x is 20.

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