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SSC Quantitative Aptitude Ratio and Proportion Question Bank Ratio and Proportion (II)

  • question_answer
    Three glasses of equal volume contains acid mixed with water. The ratio of acid and water are 2 : 3, 3 : 4 and 4 : 5, respectively. Contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is [SSC CGL Tier II, 2015]

    A) 401 : 544

    B) 417 : 564

    C) 407 : 560

    D) 411 : 540

    Correct Answer: A

    Solution :

    [a] Required ratio \[=\left( \frac{2}{5}+\frac{3}{7}+\frac{4}{9} \right):\left( \frac{3}{5}+\frac{4}{7}+\frac{5}{9} \right)\] \[=\left( \frac{2\times 7\times 9+3\times 5\times 9+4\times 5\times 7}{5\times 7\times 9} \right)\] \[:\left( \frac{3\times 7\times 9+4\times 5\times 9+5\times 5\times 7}{5\times 7\times 9} \right)\] \[=\left( \frac{126+135+140}{5\times 7\times 9} \right):\left( \frac{189+180+175}{5\times 7\times 9} \right)=401:544\]


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