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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-5

  • question_answer
    \[A\] and \[B\] are two alloys of gold and copper prepared by mixing metals in the ratio \[5:3\] and \[5:11\]respectively. Equal quantities of these alloys are melted to form a third alloy C. The ratio of gold and copper in the alloy C is

    A) \[25:33\]                       

    B) \[33:25\]

    C) \[15:17\]             

    D)        \[17:15\]

    Correct Answer: C

    Solution :

     Let \[1\,\,kg\] of each of the alloys \[A\] and \[B\] be mixed together. In alloy\[A\], Quantity of gold\[=\frac{5}{8}kg\]. Quantity of coppers\[=\frac{3}{8}kg\]. In alloy\[B\], Quantity of gold\[=\frac{5}{16}kg\]. Quantity of copper\[=\frac{11}{16}kg\] \[\therefore \]      Required ratio             \[=\left( \frac{5}{8}+\frac{5}{16} \right):\left( \frac{3}{8}+\frac{11}{16} \right)\]             \[=\frac{15}{16}:\frac{17}{16}=15:17\]


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