Question : 15 books were sold for Rs. 2200 thereby gaining a cost price of 5 books. Find the cost price of a book:
Option 1: Rs. 110
Option 2: Rs. 200
Option 3: Rs. 210
Option 4: Rs. 230
Correct Answer: Rs. 110
Solution :
Let the cost price of a book be $x$.
Selling price of 15 books = Rs. 2200
Price includes the cost price of 15 books plus the gain, which is the cost price of 5 books.
According to the question,
$15x + 5x = 2200$
⇒ $20x = 2200$
⇒ $x = \frac{2200}{20} = 110$
Hence, the correct answer is Rs. 110.
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