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Banking Sample Paper IBPS Clerk (PT) Sample Paper Test-1

  • question_answer
    The ratio of Amrit's to Amrita's age is 7 : 5 and the sum of their ages is 72 years. What will be the ratio of their ages after 12 years?

    A)  28:17                          

    B)  25:19              

    C)  7:9                  

    D)    9:7                  

    E)    None of these

    Correct Answer: D

    Solution :

    Let the age of Amrit and Amrita be x and y respectively. Therefore, \[\frac{x}{y}=\frac{7}{5}\] or, \[5x=7y\]                  ?(i) and x + y = 72             ?(ii) Solving eqn (i) and (ii), we get x = 42 and y = 30 Ratio of ages after 12 years \[=\frac{x+12}{y+12}=\frac{42+12}{30+12}=\frac{54}{42}=9:7\] Method II. Age of Amrit\[=\frac{72}{12}\times 7=42\,yrs\] Age of Amrita\[=\frac{72}{12}\times 5=30\,yrs\] \[\therefore \]Reqd ratio = (42+12):(30+12) \[=54:42=9:7\]


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