Profit and Loss problem 2 by Dhaval Furia

Algebra Level pending

On selling a pen at 5 % 5\% loss and a book at 15 % 15\% gain, Karim gains Rs. 7 7 . If he sells the pen at 5 % 5\% gain and the book at 10 % 10\% gain, he gains Rs. 13 13 . What is the cost price of the book in Rs.?

85 85 100 100 80 80 95 95

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1 solution

Let the cost price of a book be b b and of a pen be p p . Then

3 b p = 140 3b-p=140

2 b + p = 260 2b+p=260

Solving we get b = 80 b=\boxed {80} .

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