Gold is 12 times as heavy as aluminum and copper is 5 times as heavy as aluminum.In what ratio gold and copper should be mixed to get an alloy 8 times of aluminum.

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SSC GD Previous Paper 25 (Held On: 3 March 2019 Shift 3)_English
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  1. 2 : 1
  2. 3 : 4
  3. 1 : 2
  4. 4 : 3

Answer (Detailed Solution Below)

Option 2 : 3 : 4
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Detailed Solution

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Given:

Gold is 12 times as heavy as aluminum and copper  is 5 times as heavy as aluminum.

Calculation:

Let the ratio of gold and copper that taken be x : y

According to the question,

⇒ \(\frac{{12x + 5y}}{{x + y}} = \frac{8}{1}\)

⇒ 12x + 5y = 8x + 8y

⇒ 4x = 3y

⇒ x/y = 3/4

∴ Gold and copper are taken in the ratio 3 : 4.  Alternate Method

Allegation method use in this question,

F1 SSC  Priya 8 5 24 D3

∴ Gold and copper are taken in the ratio 3 : 4. 

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