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In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 g of alloy, then the ratio of copper and zinc in the alloy will be -
Answer & Solution
Correct Answer:
Option
B
Quantity of copper in 17.5kg of alloy
$$\eqalign{ & = \left( {17.5 \times \frac{5}{7}} \right){\text{kg}} \cr & = 12.5{\text{kg}}. \cr} $$
Quantity of zinc in 17.5kg of alloy
$$\eqalign{ & = \left( {17.5 \times \frac{2}{7}} \right){\text{kg}} \cr & = 5{\text{kg}} \cr & \therefore {\text{Required ratio}} \cr & = 12.5:\left( {5 + 1.25} \right) \cr & = 12.5:6.25 \cr & = 2:1 \cr} $$
$$\eqalign{ & = \left( {17.5 \times \frac{5}{7}} \right){\text{kg}} \cr & = 12.5{\text{kg}}. \cr} $$
Quantity of zinc in 17.5kg of alloy
$$\eqalign{ & = \left( {17.5 \times \frac{2}{7}} \right){\text{kg}} \cr & = 5{\text{kg}} \cr & \therefore {\text{Required ratio}} \cr & = 12.5:\left( {5 + 1.25} \right) \cr & = 12.5:6.25 \cr & = 2:1 \cr} $$
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