Multiple choice

A 2500 gm alloy consists of two different alloys in the ratio 2 : 3. The first alloy is made up of metals A and B in the ratio 3 : 2 and the second alloy is made up of metals C and D in the ratio 5 : 7. Find the ratio of A : D.

  1. 12 : 17

  2. 24 : 35

  3. 23 : 25

  4. 13 : 19
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B Correct answer
Explanation

First alloy: 2/5 of 2500 = 1000gm (A:B = 3:2, so A = 3/5 × 1000 = 600gm). Second alloy: 3/5 of 2500 = 1500gm (C:D = 5:7, total 12 parts, so D = 7/12 × 1500 = 875gm). Ratio A:D = 600:875 = 24:35.

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