Question:
60 kg of an alloy X is mixed with 100 kg of an alloy Y. If alloy X has lead and tin in the ratio of 3:2 and alloy Y has tin and copper in the ratio of 1:4, then the amount of tin in the new alloy is
60 kg of an alloy X is mixed with 100 kg of an alloy Y. If alloy X has lead and tin in the ratio of 3:2 and alloy Y has tin and copper in the ratio of 1:4, then the amount of tin in the new alloy is
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When working with alloys, break down the problem into ratios and calculate the individual amounts of components.
Updated On: Aug 18, 2025
- 53 kgs
- 80 kgs
- 36 kgs
- 44 kgs
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The Correct Option is D
Solution and Explanation
Alloy X contains \( \frac{2}{5} \) of tin as it has a ratio of 3:2 of lead to tin. Thus, the amount of tin in alloy X is:
\[
\text{Tin in X} = \frac{2}{5} \times 60 = 24 \, \text{kgs}
\]
Alloy Y contains \( \frac{1}{5} \) of tin as it has a ratio of 1:4 of tin to copper. Thus, the amount of tin in alloy Y is:
\[
\text{Tin in Y} = \frac{1}{5} \times 100 = 20 \, \text{kgs}
\]
Therefore, the total amount of tin in the new alloy is:
\[
\text{Total tin} = 24 \, \text{kgs} + 20 \, \text{kgs} = 44 \, \text{kgs}
\]
- Option (A) 53 kgs: Incorrect. This is not the correct amount of tin.
- Option (B) 80 kgs: Incorrect. This would suggest a much higher amount of tin.
- Option (C) 36 kgs: Incorrect. This does not align with the math.
- Option (B) 80 kgs: Incorrect. This would suggest a much higher amount of tin.
- Option (C) 36 kgs: Incorrect. This does not align with the math.
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