Alloy A contains copper and zinc in the ratio 4 : 5 and alloy B contains…

2020

Alloy A contains copper and zinc in the ratio 4 : 5 and alloy B contains copper and zinc in the ratio 7 : 2. A and B are taken in the ratio 7 : 4 and melted to form a new alloy. The percentage of zinc in the new alloy is closest to: (correct to two decimal places)

  1. A.

    43.43%

  2. B.

    47.5%

  3. C.

    45.25%

  4. D.

    47.79%

Attempted by 3 students.

Show answer & explanation

Correct answer: A

In alloy A, zinc fraction = 5/9. In alloy B, zinc fraction = 2/9.

A and B are mixed in the ratio 7:4.

Zinc fraction in the new alloy = (7 x 5/9 + 4 x 2/9)/(7 + 4) = 43/99.

Percentage of zinc = 43/99 x 100 ≈ 43.43%.

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