CAT 2023 Slot 1 QA Question 10: Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still s

Question

Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still s

Accepted Answer

Let the original common selling price be S.

$CP_A = \dfrac{S}{1.2} = \dfrac{5S}{6}$
$CP_B = \dfrac{S}{0.9} = \dfrac{10S}{9}$

The new selling price gives a 10% profit on B.
$S_{new} = 1.1 	imes CP_B = 1.1 	imes {\dfrac{10S}{9}} = \dfrac{11S}{9}$

Profit percentage on A is
$\dfrac{\dfrac{11S}{9} -