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Work and wages problem

CMAT 2020 · Quantitative Techniques & Data Interpretation · Medium · Time and Work

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The work done by a man, woman and child are in the ratio 3: 2:1. If daily wages of 20 men, 30 women and 36 children amount to 78/-, what will be the wages of 15 men, 21 women and 30 children for 18 weeks ?

  1. A.

    7371/-

  2. B.

    8645/-

  3. C.

    7532/-

  4. D.

    9000/-

Answer

A

Explanation

Efficiencies of a man, woman, and child are 3x,2x,x3x, 2x, x.

Daily wage of 20 men, 30 women, and 36 children = 20(3x)+30(2x)+36(x)=156x=78⇒x=0.520(3x) + 30(2x) + 36(x) = 156x = 78 \Rightarrow x = 0.5.

Daily wage of 15 men, 21 women, and 30 children = 15(3x)+21(2x)+30(x)=117x=117×0.5=58.515(3x) + 21(2x) + 30(x) = 117x = 117 \times 0.5 = 58.5.

For 18 weeks (18×7=12618 \times 7 = 126 days): Wages = 58.5×126=7371/−58.5 \times 126 = 7371/-.

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