9th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    3 persons weave 168 shawls in 14 days, how many shawls will 8 persons weave in 5 days?

    A)  90                         

    B)         105

    C)  115                       

    D)         160  

    Correct Answer: D

    Solution :

     Here, we are asked to find out the number of shawls, we compare each item with the number of shawls as shown below: More number of persons \[\Rightarrow \]More shawls Less number of persons   \[\Rightarrow \] Less shawls \[i.e.\] the relationship is direct. Also, More number of days \[\Rightarrow \] More shawls Less number of days \[\Rightarrow \]Less shawls\[i.e.\] the relationship is direct. Persons   \[3:8:\,\,:168:x\] Days      \[14:5\] \[\therefore \]  \[\frac{3}{8}\times \frac{14}{5}=\frac{168}{x}\] \[\Rightarrow \]               \[3\times 14\times x=168\times 8\times 5\] \[\Rightarrow \]               \[x=\frac{168\times 8\times 5}{3\times 14}=160\]


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