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QIn a 63 kilogramme alloy, the copper to zinc ratio is 4: 3. When some copper is taken from the alloy, the ratio becomes 10: 9. What amount of copper is extracted?
ID: #4750
Ratio and Proportion
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Ratio and ProportionTopic
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Amount of copper in alloy = [copper ratio/ sum of ratios]* total quantity of alloy Copper = {4/7}* 63 = 36 kg Similarly, the amount of zinc in alloy = [3/7] * 63 = 27 kg Let the extracted copper from alloy = x kg Remaining copper in alloy = 36-x The new ratio = 10: 9 i.e., 36-x: 27 = 10: 9 36-x: 3 = 10: 1 36-x = 10* 3 36-x = 30 x = 36-30 = 6 kg. Hence, the extracted amount of copper is 6 kg.
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