A and B are two alloys having gold and copper in the ratio of 3 : 2 and 7 : 3 respectively. If both are melted together, then find the ratio of gold and copper in the new alloy. Both are melting in an equal ratio.

- 4 : 5
- 5 : 4
- 7 : 13
- 13 : 7
- None of these

Option 4 : 13 : 7

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**Given :**

Ratio in A alloy of Gold and Copper = 3 : 2

Ratio in B alloy of gold and copper = 7 : 3

**Calculations :**

Let 1 kg of mixture is taken

A = 3 : 2 , B = 7 : 3

In A, Gold = 3/5, Copper = 2/5

In B, Gold = 7/10, Copper = 3/10

Required ratio = (3/5 + 7/10) : (2/5 + 3/10)

⇒13/10 : 7/10

⇒ 13 :7

**∴ Required ratio is 13 : 7.**

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