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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength?

    A)  1 : 2    

    B)                     \[1:3\]

    C)  \[2:1\]                          

    D)  \[3:1\]

    Correct Answer: B

    Solution :

    Let x litres of first mixture is mixed with y letres of the second mixture. According to the question, \[\frac{x\times \frac{30}{100}+y\times \frac{50}{100}}{x\times \frac{70}{100}+y\times \frac{50}{100}}=\frac{45}{55}\] \[\Rightarrow \]   \[\frac{0.3x+0.5y}{0.7x+0.5y}=\frac{9}{11}\] \[\Rightarrow \]   \[6.3x+4.5y=3.3x+5.5y\] \[\Rightarrow \]   \[6.3x-3.3x=5.5y-4.5y\] \[\Rightarrow \]               \[3x=y\] \[\therefore \]                  \[\frac{x}{y}=1:3\]


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