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6th Class Mathematics Ratio and Proportion Question Bank Ration and Proportion

  • question_answer
    A sum of Rs. 3690 is divided among P, Q, R and S such that \[\frac{\text{P }\!\!'\!\!\text{ s share}}{\text{Q }\!\!'\!\!\text{ s share}}\text{=}\frac{\text{Q }\!\!'\!\!\text{ s share}}{\text{R }\!\!'\!\!\text{ s share}}=\frac{\text{R }\!\!'\!\!\text{ s share}}{\text{S }\!\!'\!\!\text{ s share}}=\frac{4}{5}\] Then, Q's share is ___.

    A)  Rs. 1250

    B)  Rs. 1000

    C)  Rs. 640

    D)  Rs. 800

    Correct Answer: D

    Solution :

    Let S's share be Rs. \[X\] \[\therefore \] R's share = Rs. \[\left( \frac{4}{5}X \right)\] 0's share = Rs. \[\left( \frac{4}{5}\times \frac{4}{5}X \right)\]= Rs.  \[\left( \frac{16}{25}X \right)\] P's share =Rs. \[\left( \frac{4}{5}\times \frac{16}{25}X \right)\]= Rs. \[\left( \frac{64}{125}X \right)\] According to question, \[\frac{64}{125}X+\frac{16}{25}X+\frac{4}{5}X+X=3690\] \[\Rightarrow \]\[\frac{64X+80X+100X+125X}{125}=3690\] \[\Rightarrow \]\[369X=3690\times 125\] \[\Rightarrow \]\[X=\frac{3690\times 125}{369}=1250\] \[\therefore \]Q's share = Rs.\[\left( \frac{16}{25}\times 1250 \right)\] = Rs. 800


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