In a sphere made of an alloy, copper and tin are in the ratio $86 : 14$ . In a sphere made of another alloy, copper and zinc are in the ratio $58 : 42$ . Find the ratio of tin and zinc in the sphere made by melting the two spheres.

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1 : 3

2 : 3

3 : 4

3 : 5

answer is A.

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Detailed Solution

Given,
Copper and tin ratio =

86 : 14

Copper and zinc ratio =

58 : 42

Now, the amount of material remain same after the melting and recasting. Suppose, the amount of tin = 14k
Amount of zinc = 42k
So, the ratio of tin to zinc,

= \frac{14 k}{42 k}

= \frac{1}{3}

= 1 : 3

Option 1 is correct.

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