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7th Class Mathematics Simple Equations Question Bank Linear Equation in one Variable

  • question_answer
    The total cost of three prizes is 900. If the value of second prize is\[\frac{1}{2}\]of the first and the value of 3rd prize is \[\frac{3}{4}\]of the first prize, find the value of first prize.

    A)  Rs. 200                        

    B)  Rs. 300        

    C)  Rs. 400    

    D)  Rs. 450

    Correct Answer: C

    Solution :

    (c) Let the first prize be x. \[\therefore \] Second prize \[=\text{ }\frac{1}{2}x\text{ }.\]Third prize \[=\text{ }\frac{3}{4}x\] \[\therefore \,\,\left( x+\frac{x}{2}+\frac{3x}{4} \right)=900\] \[\Rightarrow \,\,\frac{8x+4x+6x}{8}=900\Rightarrow 900\Rightarrow \frac{18x}{8}=900\] \[\Rightarrow \,x=\frac{900\times 8}{18}=400\]               


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