Brass is an alloy of copper and zine and Bronze is an alloy containing 80% copper, 4% zinc and 16% tin. A fused mass of brass and bronze is… — Answer & Discussion

Brass is an alloy of copper and zine and Bronze is an alloy containing 80% copper, 4% zinc and 16% tin. A fused mass of brass and bronze is found to contain 74% copper, 16% zinc and 10% tin. Find the ratio of copper and zinc in brass.

A16 ∶ 7
B9 ∶ 16
C7 ∶ 9
D16 ∶ 9

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Discussion 1

CCommunity02 May 2019

Copper Zinc Tin

Brass - - 0%

Bronze 80% 4% 16%

Taking tin ratio and applying allegation,

0% 16%

10%

6% 10%

⇒ Ratio of brass and bronze in the mixture = 6 ? 10 = 3 ? 5

Let brass contain x% of zinc

Taking zinc ratio and applying allegation,

x 4%

16%

12% (x – 16)%

⇒ 12 ? (x – 16) = 3 ? 5

⇒ 20 = x – 16

⇒ x = 36

So, Zinc percentage in Brass is 36%

⇒ Copper percentage in Brass = 100 – 36 = 64%

∴ Required ratio = 64 ? 36 = 16 ? 9