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SSC Quantitative Aptitude Ratio and Proportion Question Bank Ratio and Proportion (II)

  • question_answer
    Men, women and children are employed to do a work in the proportion of 3 : 2 : 1 and their wages as 5 : 3 : 2. When 90 men are employed, total daily wages of all amounts to Rs. 10350. Find the daily wage of a man.

    A) Rs. 72

    B) Rs. 73

    C) Rs. 74

    D) Rs. 75

    Correct Answer: D

    Solution :

    [d] Let the number of men, women and children are 3y, 2y and y, respectively. Given, \[3y=90\]\[\Rightarrow \]\[y=30\] Number of women \[=60\]and Number of children \[=30\] \[\therefore \] According to the question, Total daily wages = Rs. 10350 \[\Rightarrow \] \[90\times 5x+60\times 3x+30\times 2x=10350\] \[\Rightarrow \]   \[x\,\,(450+180+60)=10350\] \[\Rightarrow \]   \[x=\frac{10350}{690}=15\] \[\therefore \]      Daily wages of a man             \[=15\times 5=\text{Rs}\text{.}\,\,75\]


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