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?
CAT QUANT QUESTION
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?
- 80
- 85
- 95
- 100
Answer and Explanation
Let the cost prices of a pen and a books be x and y respectively.
From 1st condition,
0.95x + 1.15y = x+y+7 … (1)
From 2nd condition,
1.05x + 1.1y = x + y +13 … (2)
Solving both (1) and (2) for y, we get y=80.
(22)