The cost price of 72 books is equal to the selling price of 60 books. What is the gain percent ? 

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  1. \(8\frac{1}{3}\%\)
  2. \(16\frac{2}{3}\%\)
  3. 18%
  4. 20%

Answer (Detailed Solution Below)

Option 4 : 20%
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Detailed Solution

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Given:

The cost price of 72 books is equal to the selling price of 60 books.

Formula used:

Gain Percent = Gain/Cost Price × 100

Gain = Selling Price - Cost Price

Calculation:

Let the cost price of 1 book be ₹C.

Cost Price of 72 books = 72C

Selling Price of 60 books = 72C

Selling Price of 1 book = 72C/60 = 1.2C

Gain = Selling Price - Cost Price

⇒ Gain = 1.2C - C = 0.2C

Gain Percent = 0.2C/C × 100

⇒ Gain Percent = 0.2 × 100 = 20%

∴ The correct answer is option (4).

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