Question : 12 copies of a book were sold for Rs. 1700, thereby gaining the cost price of 3 copies. The cost price of a copy of the book is:
Option 1: Rs. 120
Option 2: Rs. 150
Option 3: Rs. 1200
Option 4: Rs. 1500
Correct Answer: Rs. 120
Solution :
Let the cost price of 1 book = Rs. $x$
Selling price of 12 books = Rs. 1800
Gain = $3x$
Selling price of 12 books – Cost price of 12 books = Gain
⇒ $1800−12x=3x$
⇒ $1800=12x+3x$
⇒ $1800=15x$
⇒ $x=120$
∴ Cost of 1 book = Rs. 120
Hence, the correct answer is Rs. 120.
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