CAT 2020 Slot 1 QA Question 7: An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, th

Question

An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, th

Accepted Answer

The weight contributed by each metal is proportional to its volume multiplied by its weight per unit volume.

Volume ratio A : B : C = 3 : 4 : 7
Weight of same volume ratio A : B : C = 5 : 2 : 6

Weight ratio A : B : C = $3 	imes 5 : 4 	imes 2 : 7 	imes 6$
$\Rightarrow$ Weight ratio A : B : C = 1

An alloy is prepared by mixing three metals A, B and C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg, of the metal C is