8th Class Mathematics Direct and Inverse Proportions Question Bank Direct and Inverse Proportions

  • question_answer
    If x and y vary inversely as each other. and x = 10 when y = 6. Find y when x= 15,

    A)  3                    

    B)         4        

    C)  2                    

    D)         6        

    Correct Answer: B

    Solution :

    As \[x\] and \[y\] vary inversely \[\therefore xy=\] constant or \[{{x}_{1}}{{y}_{1}}={{x}_{2}}{{y}_{2}}\] \[\Rightarrow 10\times 6=15{{y}_{2}}(\because {{x}_{1}}=10,{{y}_{1}}=6,{{x}_{2}}=15)\] \[\Rightarrow {{y}_{2}}=\frac{10\times 6}{15}=4\]


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