Two types of alloy possess gold and silver in the ratio of 7 : 22 and 21 :37. In what ratio should these alloys be mixed so as to have a new alloy in which gold and silver would exist in the ratio 25:62

 option 1

Quantity of gold in 1 kg of alloy
‘A’ =$\frac{7}{29}$

Quantity of gold in 1kg of alloy ‘B’=$\frac{21}{58}$

Quantity of gold in 1 kg of alloy
‘C’ =$\frac{25}{87}$

Required ratio= ($\frac{21}{58}$-$\frac{25}{87}$):($\frac{25}{87}$-$\frac{7}{29}$)

13 : 8

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