The ratio of copper, zinc and nickel in German silver is 4 : 3 : 2. Ho

The ratio of copper, zinc and nickel in German silver is 4 : 3 : 2. How many kilograms of zinc is added to this metal of 54 kg so that the new ratio becomes 2 : 5 : 1?1. 482. 503. 364. 42

Answer» Correct Answer - Option 4 : 42

Now, let the quantity of Zinc to be added be y kg

The initial total quantity of German Silver is 54 kg

Hence, we can obtain the initial quantities of the various metals as:

Sr. No.	Metal	Metal Quantity (in kg)
1	Copper	[4/(4 + 3 + 2)] × 54 = 24
2	Zinc	[3/(4 + 3 + 2)] × 54 = 18
3	Nickel	[2/(4 + 3 + 2)] × 54 = 12

After y kg of zinc is added, the ratio of copper, zinc and nickel becomes 2 ∶ 5 ∶ 1.

So, let the new respective quantities of these metals be 2x, 5x, and x respectively.

Hence, x = 12

Therefore, the new quantity of zinc becomes:

18 + y = 5x ----(i)

On substituting the value of x = 12 into the equation (i), we get:

y = (5 × 12) – 18 = 42

∴ The required quantity of zinc to be added is 42 kg

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