10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    Five tables and eight chairs cost Rs. 7,350 three tables and five chairs cost Rs. 4,475. The price of a table is

    A)  Rs. 950                  

    B)  Rs. 325

    C)  Rs. 925          

    D)         Rs. 350

    Correct Answer: A

    Solution :

     Let the price of each table and chair is \[\text{Rs}\text{.}x\] and \[\text{Rs}\text{.}y\] respectively. Then by hypothesis,                 \[5x+8y=7350\]                                 ... (i) and        \[3x+5y=4475\]                                 ... (ii) Multiplying equation (i) by \[5\] and equation (ii) by \[8\] and subtracting, we get                 \[25x-24x=36750-35800\]or         \[x=950\]


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