On selling a pen at 5% loss and a book at 15% gain, Karim gains Rs. 7. If he sells the pen at 5% gain and the book at 10% gain, he gains Rs. 13. What is the cost price of the book in Rupees?
Correct Answer :
80
Solution :
Let the cost price of the pen be and the cost price of the book be .
From the first scenario (5% loss on pen and 15% gain on book, yielding a net gain of Rs. 7):
--- (Equation 1)
From the second scenario (5% gain on pen and 10% gain on book, yielding a net gain of Rs. 13):
--- (Equation 2)
Adding Equation 1 and Equation 2:
Solving for :
Thus, the cost price of the book is Rs. 80. The correct option is 1.
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