CAT 2019 Shift 1 Paper

Question : 100 of 100

Marks: +1, -0

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?

Validate

Solution:

Let the cost prices of a pen and a books be

x

and

y

respectively.
From 1 st condition,

0.95 x+1.15 y=x+y+7 . . .(1)

From 2 nd condition,

1.05 x+1.1 y=x+y+13 . . .(2)

Solving both (1) and (2) for

y,

we get

y=80

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