Correct Answer - Option 1 : 5 : 4
Given:
Alloy A contains copper and zinc in the ratio 5 : 2
Alloy B contains copper and zinc in the ratio 3 : 4
Alloy C is prepared by mixing A and B in the ratio 4 : 5
Calculations:
Alloy A,
⇒ Copper = 5/7, Zinc = 2/7
Alloy B,
⇒ Copper = 3/7, Zinc = 4/7
A and B taken in the 4 : 5 Ratio
Let A be 4x and B be 5x,
In mixture C,
Copper = (5/7)4x + (3/7)5x = 35x/7
Zinc = (2/7)4x + (4/7)5x = 28x/7
Ratio of Copper to Zinc in mixture C,
⇒ 35x/7 : 28x/7
⇒ 5 : 4
∴ Ratio of Copper to Zinc is 5 : 4.