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6th Class Mathematics Algebra Question Bank Algebra

  • question_answer
    Three prizes are to be distributed in a Mental Ability quiz contest. The value of the second prize is five-sixths the value of the first prize and the value of the third prize is four-fifths that of the second prize. If the total value of three prizes is Rs. 150, find the value of third prize.

    A)  Rs. 40            

    B)  Rs. 50

    C)  Rs. 60                        

    D)  Rs. 120

    Correct Answer: A

    Solution :

    Let the value of first prize \[=x\]rupees \[\therefore \]The value of second prize \[=\frac{5x}{6}\] \[\therefore \] The value of third prize \[=\frac{4}{5}\times \frac{5x}{6}=\frac{4x}{6}\] A/Q, \[x+\frac{5x}{6}+\frac{4x}{6}=150\] \[\Rightarrow \]\[\frac{15x}{6}=150\] \[\therefore \]\[x=60\] \[\therefore \]Value of third prize \[=\frac{4\times 60}{6}=40\]Rupees


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