Question
Alloys 'P' and 'Q' have gold to silver in the ratio of 2:3
and 3:5 respectively. If 150 grams of P and 200 grams of Q are mixed together, then find the ratio of gold to silver in the final mixture.Solution
Quantity of gold in 150 grams 'P' = 150 × (2/5) = 60 grams
Quantity of silver in 150 grams 'P' = 150 - 60 = 90 grams
Quantity of gold in 200 grams 'Q' = 200 × (3/8) = 75 grams
Quantity of silver in 200 grams 'Q' = 200 - 75 = 125 grams
So, required ratio = (60 + 75) : (90 + 125) = 135 : 215 = 27:43
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