6th Class Mathematics Algebra Question Bank Algebra

  • question_answer
    I had Rs.350 with me. I gave Rs. \[\left( \frac{x}{2} \right)\] to Amit, \[\text{Rs}\text{.}\left( \frac{x}{3} \right)\] to Shreya and I am left with \[\text{Rs}\text{.}\left( \frac{x}{3} \right)\]. The amount I gave to Amit is ________.

    A)  Rs.150

    B)  Rs.100

    C)  Rs.250

    D)  Rs.200

    Correct Answer: A

    Solution :

    According to question, we have \[\frac{x}{2}+\frac{x}{3}+\frac{x}{3}=\text{Rs}.350\] \[\Rightarrow \frac{3x+2x+2x}{6}=\text{Rs}.350\] \[\Rightarrow 7x=6\times 350=\text{Rs}.2100\] \[\Rightarrow x=\frac{2100}{7}=\text{Rs}.300\] Now, amount given to Amit \[\text{=Rs}\text{.}\left( \frac{x}{2} \right)\text{=Rs}\text{.}\left( \frac{\text{300}}{\text{2}} \right)\text{=Rs}\text{.150}\]


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