CAT 2023 Slot 3 QA Question 9: Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare mixture A, and coffee with sugar in the ratio 7 : 3 to prepare mixture B. He combines mixtures A and B in the ratio 2 : 3 to make a new mixtur

Question

Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare mixture A, and coffee with sugar in the ratio 7 : 3 to prepare mixture B. He combines mixtures A and B in the ratio 2 : 3 to make a new mixtur

Accepted Answer

In mixture A, the sugar fraction is $\dfrac{2}{5}$. In mixture B, the sugar fraction is $\dfrac{3}{10}$.

Take 2 units of A and 3 units of B to form 5 units of C.

$	ext{Sugar in C} = 2 	imes \dfrac{2}{5} + 3 	imes \dfrac{3}{10}$
$= \dfrac{4}{5} + \dfrac{9}{10} = \dfrac{17}{10}$

So the sugar fra