7th Class Mathematics Simple Equations Question Bank Simple Equations

  • question_answer
    The total cost of three prizes is Rs.2550. If the value of second prize is \[{{\frac{3}{4}}^{th}}\]of the first and the value of 3rd prize is \[\frac{1}{2}\]of the second prize, find the value of first prize.

    A)  \[Rs.\,900\]      

    B)         \[Rs.\,1500\]

    C)  \[Rs.\,1200\]                      

    D)         \[Rs.\,450\]

    Correct Answer: C

    Solution :

       Let the first prize be Rs. X \[\therefore \] Second prize \[=Rs.\,\frac{3}{4}x\] Third prize \[=Rs.\,\frac{1}{2}\times \frac{3x}{4}=Rs.\,\frac{3x}{8}\] \[\therefore \] \[Rs.\,\left( x+\frac{3x}{4}+\frac{3x}{8} \right)=Rs.2550\] \[\Rightarrow \] \[x=Rs.1200\]


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